Abstract

The analysis of quantum beats in time-resolved spectroscopic signals is becoming a task of primary importance because it is now clear that they bring crucial information about chemical reactivity, transport, and relaxation processes. Here we describe how to exploit the wide family of time-frequency transform methodologies to obtain information not only about the frequency but also about the dynamics of the oscillating components contributing to the overall beating signal. Several linear and bilinear transforms have been considered, and a general and easy procedure to judge in a non-arbitrary way the performances of different transforms has been outlined.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

Full Article  |  PDF Article
OSA Recommended Articles
Time-frequency methods for coherent spectroscopy

Andrea Volpato and Elisabetta Collini
Opt. Express 23(15) 20040-20050 (2015)

Exploring laser-driven quantum phenomena from a time-frequency analysis perspective: a comprehensive study

Yae-lin Sheu, Hau-tieng Wu, and Liang-Yan Hsu
Opt. Express 23(23) 30459-30482 (2015)

Comparative performance analysis of time–frequency distributions for spectroscopic optical coherence tomography

Chenyang Xu, Farzad Kamalabadi, and Stephen A. Boppart
Appl. Opt. 44(10) 1813-1822 (2005)

References

  • View by:
  • |
  • |
  • |

  1. S. Mukamel, Principles of Nonlinear Optical Spectroscopy (Oxford University, 1995).
  2. J. C. Polanyi and A. H. Zewail, “Direct observation of the transition state,” Accounts Chem. Res. 28, 119–132 (1995).
    [Crossref]
  3. H. Abramczyk, Introduction to Laser Spectroscopy (Elsevier Science, 2005).
  4. E. Hack and J. R. Huber, “Quantum beat spectroscopy of molecules,” Int. Rev. Phys. Chem. 10, 287–317 (1991).
    [Crossref]
  5. H. Bitto and J. Robert Huber, “Molecular quantum beats. High-resolution spectroscopy in the time domain,” Accounts Chem. Res. 25, 65–71 (1992).
    [Crossref]
  6. J. J. Burdett and C. J. Bardeen, “The dynamics of singlet fission in crystalline tetracene and covalent analogs,” Accounts Chem. Res. 46, 1312–1320 (2013).
    [Crossref]
  7. E. Collini, “Spectroscopic signatures of quantum-coherent energy transfer,” Chem. Soc. Rev. 42, 4932–4947 (2013).
    [Crossref] [PubMed]
  8. V. M. Axt and T. Kuhn, “Femtosecond spectroscopy in semiconductors: A key to coherences, correlations and quantum kinetics,” Reports on Prog. Phys. 67, 433–512 (2004).
    [Crossref]
  9. D. M. Jonas, “Vibrational and nonadiabatic coherence in 2D electronic spectroscopy, the Jahn-Teller effect, and energy transfer,” Annu. Rev. Phys. Chem. 69, 327–352 (2018).
    [Crossref] [PubMed]
  10. M. Reduzzi, W. C. Chu, C. Feng, A. Dubrouil, J. Hummert, F. Calegari, F. Frassetto, L. Poletto, O. Kornilov, M. Nisoli, C. D. Lin, and G. Sansone, “Observation of autoionization dynamics and sub-cycle quantum beating in electronic molecular wave packets,” J. Phys. B: At. Mol. Opt. Phys. 49, 065102 (2016).
    [Crossref]
  11. R. Pazourek, M. Reduzzi, P. A. Carpeggiani, G. Sansone, M. Gaarde, and K. Schafer, “Ionization delays in few-cycle-pulse multiphoton quantum-beat spectroscopy in helium,” Phys. Rev. A 93, 023420 (2016).
    [Crossref]
  12. M. Nisoli, P. Decleva, F. Calegari, A. Palacios, and F. Martín, “Attosecond electron dynamics in molecules,” Chem. Rev. 117, 10760–10825 (2017).
    [Crossref] [PubMed]
  13. S. Beaulieu, A. Comby, A. Clergerie, J. Caillat, D. Descamps, N. Dudovich, B. Fabre, R. Géneaux, F. Légaré, S. Petit, B. Pons, G. Porat, T. Ruchon, R. Taïeb, V. Blanchet, and Y. Mairesse, “Attosecond-resolved photoionization of chiral molecules,” Science 358, 1288–1294 (2017).
    [Crossref] [PubMed]
  14. M. J. J. Vrakking, D. M. Villeneuve, and A. Stolow, “Observation of fractional revivals of a molecular wave packet,” Phys. Rev. A 54, R37–R40 (1996).
    [Crossref] [PubMed]
  15. T. Fuji, T. Saito, and T. Kobayashi, “Dynamical observation of Duschinsky rotation by sub-5-fs real-time spectroscopy,” Chem. Phys. Lett. 332, 324–330 (2000).
    [Crossref]
  16. A. Yabushita and T. Kobayashi, “Primary conformation change in bacteriorhodopsin on photoexcitation,” Biophys. J. 96, 1447–1461 (2009).
    [Crossref] [PubMed]
  17. T. Kobayashi and A. Yabushita, “Transition-state spectroscopy using ultrashort laser pulses,” Chem. Rec. 11, 99–116 (2011).
    [Crossref] [PubMed]
  18. D. Hasegawa, K. Nakata, E. Tokunaga, K. Okamura, J. Du, and T. Kobayashi, “Vibrational energy flow between modes by dynamic mode coupling in THIATS J-aggregates,” J. Phys. Chem. A 117, 11441–11448 (2013).
    [Crossref] [PubMed]
  19. J. Prior, E. Castro, A. W. Chin, J. Almeida, S. F. Huelga, and M. B. Plenio, “Wavelet analysis of molecular dynamics: Efficient extraction of time-frequency information in ultrafast optical processes,” J. Chem. Phys. 139, 224103 (2013).
    [Crossref] [PubMed]
  20. M. Cipolloni, B. Fresch, I. Occhiuto, P. Rukin, K. G. Komarova, A. Cecconello, I. Willner, R. D. Levine, F. Remacle, and E. Collini, “Coherent electronic and nuclear dynamics in a rhodamine heterodimer-DNA supramolecular complex,” Phys. Chem. Chem. Phys. 19, 23043–23051 (2017).
    [Crossref] [PubMed]
  21. E. Meneghin, C. Leonardo, A. Volpato, L. Bolzonello, and E. Collini, “Mechanistic insight into internal conversion process within Q-bands of chlorophyll a,” Sci. Reports 7, 11389 (2017).
    [Crossref]
  22. V. I. Novoderezhkin, E. Romero, J. Prior, and R. Van Grondelle, “Exciton-vibrational resonance and dynamics of charge separation in the photosystem II reaction center,” Phys. Chem. Chem. Phys. 19, 5195–5208 (2017).
    [Crossref] [PubMed]
  23. E. Romero, J. Prior, A. W. Chin, S. E. Morgan, V. I. Novoderezhkin, M. B. Plenio, and R. van Grondelle, “Quantum-coherent dynamics in photosynthetic charge separation revealed by wavelet analysis,” Sci. Reports 7, 2890 (2017).
    [Crossref]
  24. B. S. Rolczynski, H. Zheng, V. P. Singh, P. Navotnaya, R. Alan, J. R. Caram, K. Ashraf, A. T. Gardiner, S.-h. Yeh, R. J. Cogdell, and G. S. Engel, “Correlated protein environments drive quantum coherence lifetimes in photosynthetic pigment-protein complexes,” Chem 4, 138–149 (2018).
    [Crossref]
  25. E. Meneghin, A. Volpato, L. Cupellini, L. Bolzonello, S. Jurinovich, V. Mascoli, D. Carbonera, B. Mennucci, and E. Collini, “Coherence in carotenoid-to-chlorophyll energy transfer,” Nat. Commun. 9, 3160 (2018).
    [Crossref] [PubMed]
  26. L. Bolzonello, A. Polo, A. Volpato, E. Meneghin, M. Cordaro, M. Trapani, M. Fortino, A. Pedone, M. Castriciano, and E. Collini, “Two-dimensional electronic spectroscopy reveals dynamics and mechanisms of dolvent-driven inertial relaxation in polar BODIPY dyes,” J. Phys. Chem. Lett. 9, 1079–1085 (2018).
    [Crossref] [PubMed]
  27. L. Cohen, Time-Frequency Analysis (Prentice-Hall, 1995).
  28. S. Schott, L. Ress, J. Hrušák, P. Nuernberger, and T. Brixner, “Identification of photofragmentation patterns in trihalide anions by global analysis of vibrational wavepacket dynamics in broadband transient absorption data,” Phys. Chem. Chem. Phys. 18, 33287–33302 (2016).
    [Crossref] [PubMed]
  29. A. Volpato, L. Bolzonello, E. Meneghin, and E. Collini, “Global analysis of coherence and population dynamics in 2D electronic spectroscopy,” Opt. Express 24, 24773–24785 (2016).
    [Crossref] [PubMed]
  30. I. H. M. van Stokkum, C. C. Jumper, J. J. Snellenburg, G. D. Scholes, R. van Grondelle, and P. Malý, “Estimation of damped oscillation associated spectra from ultrafast transient absorption spectra,” The J. Chem. Phys. 145, 174201 (2016).
    [Crossref] [PubMed]
  31. E. Meneghin, D. Pedron, and E. Collini, “Characterization of the coherent dynamics of bacteriochlorophyll a in solution,” Chem. Phys. 519, 85–91 (2019).
  32. A. Volpato and E. Collini, “Time-frequency methods for coherent spectroscopy,” Opt. Express 23, 20040–20050 (2015).
    [Crossref] [PubMed]
  33. S. Qian and D. Chen, “Joint time-frequency analysis,” IEEE Signal Process. Mag. 16, 52–67 (1999).
    [Crossref]
  34. D. Gabor, “Theory of Communication,” J. IEEE 93, 429–457 (1943).
  35. A. Cohen and J. Kovacevic, “Wavelets: the mathematical background,” Proc. IEEE 84, 514–522 (1996).
    [Crossref]
  36. I. Daubechies, J. Lu, and H. T. Wu, “Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool,” Appl. Comput. Harmon. Analysis 30, 243–261 (2011).
    [Crossref]
  37. L. Cohen, “Generalized phase-space distribution functions,” J. Math. Phys. 7, 781–786 (1966).
    [Crossref]
  38. H.-I. Choi and W. J. Williams, “Improved time-frequency representation of multicomponent signals using exponential kernels,” IEEE Transactions on Acoust. Speech, Signal Process. 37, 862–871 (1989).
    [Crossref]
  39. D. Wu and J. M. Morris, “Time-frequency representations using a radial Butterworth kernel,” Int. Symp. on Time-Frequency Time-Scale Analysis pp. 60–63 (1994).
  40. Y. Zhao, L. E. Atlas, and R. J. Marks, “The use of cone shaped kernels for generalized time-frequency representation of nonstationary signals,” IEEE Transactions on Acoust. Speech, Signal Process. 38, 1084–1091 (1990).
    [Crossref]
  41. F. Auger, P. Flandrin, P. Gonçalvès, and O. Lemoine, Time-Frequency Toolbox (available at http://tftb.nongnu.org , 2008).

2019 (1)

E. Meneghin, D. Pedron, and E. Collini, “Characterization of the coherent dynamics of bacteriochlorophyll a in solution,” Chem. Phys. 519, 85–91 (2019).

2018 (4)

B. S. Rolczynski, H. Zheng, V. P. Singh, P. Navotnaya, R. Alan, J. R. Caram, K. Ashraf, A. T. Gardiner, S.-h. Yeh, R. J. Cogdell, and G. S. Engel, “Correlated protein environments drive quantum coherence lifetimes in photosynthetic pigment-protein complexes,” Chem 4, 138–149 (2018).
[Crossref]

E. Meneghin, A. Volpato, L. Cupellini, L. Bolzonello, S. Jurinovich, V. Mascoli, D. Carbonera, B. Mennucci, and E. Collini, “Coherence in carotenoid-to-chlorophyll energy transfer,” Nat. Commun. 9, 3160 (2018).
[Crossref] [PubMed]

L. Bolzonello, A. Polo, A. Volpato, E. Meneghin, M. Cordaro, M. Trapani, M. Fortino, A. Pedone, M. Castriciano, and E. Collini, “Two-dimensional electronic spectroscopy reveals dynamics and mechanisms of dolvent-driven inertial relaxation in polar BODIPY dyes,” J. Phys. Chem. Lett. 9, 1079–1085 (2018).
[Crossref] [PubMed]

D. M. Jonas, “Vibrational and nonadiabatic coherence in 2D electronic spectroscopy, the Jahn-Teller effect, and energy transfer,” Annu. Rev. Phys. Chem. 69, 327–352 (2018).
[Crossref] [PubMed]

2017 (6)

M. Nisoli, P. Decleva, F. Calegari, A. Palacios, and F. Martín, “Attosecond electron dynamics in molecules,” Chem. Rev. 117, 10760–10825 (2017).
[Crossref] [PubMed]

S. Beaulieu, A. Comby, A. Clergerie, J. Caillat, D. Descamps, N. Dudovich, B. Fabre, R. Géneaux, F. Légaré, S. Petit, B. Pons, G. Porat, T. Ruchon, R. Taïeb, V. Blanchet, and Y. Mairesse, “Attosecond-resolved photoionization of chiral molecules,” Science 358, 1288–1294 (2017).
[Crossref] [PubMed]

M. Cipolloni, B. Fresch, I. Occhiuto, P. Rukin, K. G. Komarova, A. Cecconello, I. Willner, R. D. Levine, F. Remacle, and E. Collini, “Coherent electronic and nuclear dynamics in a rhodamine heterodimer-DNA supramolecular complex,” Phys. Chem. Chem. Phys. 19, 23043–23051 (2017).
[Crossref] [PubMed]

E. Meneghin, C. Leonardo, A. Volpato, L. Bolzonello, and E. Collini, “Mechanistic insight into internal conversion process within Q-bands of chlorophyll a,” Sci. Reports 7, 11389 (2017).
[Crossref]

V. I. Novoderezhkin, E. Romero, J. Prior, and R. Van Grondelle, “Exciton-vibrational resonance and dynamics of charge separation in the photosystem II reaction center,” Phys. Chem. Chem. Phys. 19, 5195–5208 (2017).
[Crossref] [PubMed]

E. Romero, J. Prior, A. W. Chin, S. E. Morgan, V. I. Novoderezhkin, M. B. Plenio, and R. van Grondelle, “Quantum-coherent dynamics in photosynthetic charge separation revealed by wavelet analysis,” Sci. Reports 7, 2890 (2017).
[Crossref]

2016 (5)

M. Reduzzi, W. C. Chu, C. Feng, A. Dubrouil, J. Hummert, F. Calegari, F. Frassetto, L. Poletto, O. Kornilov, M. Nisoli, C. D. Lin, and G. Sansone, “Observation of autoionization dynamics and sub-cycle quantum beating in electronic molecular wave packets,” J. Phys. B: At. Mol. Opt. Phys. 49, 065102 (2016).
[Crossref]

R. Pazourek, M. Reduzzi, P. A. Carpeggiani, G. Sansone, M. Gaarde, and K. Schafer, “Ionization delays in few-cycle-pulse multiphoton quantum-beat spectroscopy in helium,” Phys. Rev. A 93, 023420 (2016).
[Crossref]

S. Schott, L. Ress, J. Hrušák, P. Nuernberger, and T. Brixner, “Identification of photofragmentation patterns in trihalide anions by global analysis of vibrational wavepacket dynamics in broadband transient absorption data,” Phys. Chem. Chem. Phys. 18, 33287–33302 (2016).
[Crossref] [PubMed]

A. Volpato, L. Bolzonello, E. Meneghin, and E. Collini, “Global analysis of coherence and population dynamics in 2D electronic spectroscopy,” Opt. Express 24, 24773–24785 (2016).
[Crossref] [PubMed]

I. H. M. van Stokkum, C. C. Jumper, J. J. Snellenburg, G. D. Scholes, R. van Grondelle, and P. Malý, “Estimation of damped oscillation associated spectra from ultrafast transient absorption spectra,” The J. Chem. Phys. 145, 174201 (2016).
[Crossref] [PubMed]

2015 (1)

2013 (4)

D. Hasegawa, K. Nakata, E. Tokunaga, K. Okamura, J. Du, and T. Kobayashi, “Vibrational energy flow between modes by dynamic mode coupling in THIATS J-aggregates,” J. Phys. Chem. A 117, 11441–11448 (2013).
[Crossref] [PubMed]

J. Prior, E. Castro, A. W. Chin, J. Almeida, S. F. Huelga, and M. B. Plenio, “Wavelet analysis of molecular dynamics: Efficient extraction of time-frequency information in ultrafast optical processes,” J. Chem. Phys. 139, 224103 (2013).
[Crossref] [PubMed]

J. J. Burdett and C. J. Bardeen, “The dynamics of singlet fission in crystalline tetracene and covalent analogs,” Accounts Chem. Res. 46, 1312–1320 (2013).
[Crossref]

E. Collini, “Spectroscopic signatures of quantum-coherent energy transfer,” Chem. Soc. Rev. 42, 4932–4947 (2013).
[Crossref] [PubMed]

2011 (2)

T. Kobayashi and A. Yabushita, “Transition-state spectroscopy using ultrashort laser pulses,” Chem. Rec. 11, 99–116 (2011).
[Crossref] [PubMed]

I. Daubechies, J. Lu, and H. T. Wu, “Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool,” Appl. Comput. Harmon. Analysis 30, 243–261 (2011).
[Crossref]

2009 (1)

A. Yabushita and T. Kobayashi, “Primary conformation change in bacteriorhodopsin on photoexcitation,” Biophys. J. 96, 1447–1461 (2009).
[Crossref] [PubMed]

2004 (1)

V. M. Axt and T. Kuhn, “Femtosecond spectroscopy in semiconductors: A key to coherences, correlations and quantum kinetics,” Reports on Prog. Phys. 67, 433–512 (2004).
[Crossref]

2000 (1)

T. Fuji, T. Saito, and T. Kobayashi, “Dynamical observation of Duschinsky rotation by sub-5-fs real-time spectroscopy,” Chem. Phys. Lett. 332, 324–330 (2000).
[Crossref]

1999 (1)

S. Qian and D. Chen, “Joint time-frequency analysis,” IEEE Signal Process. Mag. 16, 52–67 (1999).
[Crossref]

1996 (2)

A. Cohen and J. Kovacevic, “Wavelets: the mathematical background,” Proc. IEEE 84, 514–522 (1996).
[Crossref]

M. J. J. Vrakking, D. M. Villeneuve, and A. Stolow, “Observation of fractional revivals of a molecular wave packet,” Phys. Rev. A 54, R37–R40 (1996).
[Crossref] [PubMed]

1995 (1)

J. C. Polanyi and A. H. Zewail, “Direct observation of the transition state,” Accounts Chem. Res. 28, 119–132 (1995).
[Crossref]

1992 (1)

H. Bitto and J. Robert Huber, “Molecular quantum beats. High-resolution spectroscopy in the time domain,” Accounts Chem. Res. 25, 65–71 (1992).
[Crossref]

1991 (1)

E. Hack and J. R. Huber, “Quantum beat spectroscopy of molecules,” Int. Rev. Phys. Chem. 10, 287–317 (1991).
[Crossref]

1990 (1)

Y. Zhao, L. E. Atlas, and R. J. Marks, “The use of cone shaped kernels for generalized time-frequency representation of nonstationary signals,” IEEE Transactions on Acoust. Speech, Signal Process. 38, 1084–1091 (1990).
[Crossref]

1989 (1)

H.-I. Choi and W. J. Williams, “Improved time-frequency representation of multicomponent signals using exponential kernels,” IEEE Transactions on Acoust. Speech, Signal Process. 37, 862–871 (1989).
[Crossref]

1966 (1)

L. Cohen, “Generalized phase-space distribution functions,” J. Math. Phys. 7, 781–786 (1966).
[Crossref]

1943 (1)

D. Gabor, “Theory of Communication,” J. IEEE 93, 429–457 (1943).

Abramczyk, H.

H. Abramczyk, Introduction to Laser Spectroscopy (Elsevier Science, 2005).

Alan, R.

B. S. Rolczynski, H. Zheng, V. P. Singh, P. Navotnaya, R. Alan, J. R. Caram, K. Ashraf, A. T. Gardiner, S.-h. Yeh, R. J. Cogdell, and G. S. Engel, “Correlated protein environments drive quantum coherence lifetimes in photosynthetic pigment-protein complexes,” Chem 4, 138–149 (2018).
[Crossref]

Almeida, J.

J. Prior, E. Castro, A. W. Chin, J. Almeida, S. F. Huelga, and M. B. Plenio, “Wavelet analysis of molecular dynamics: Efficient extraction of time-frequency information in ultrafast optical processes,” J. Chem. Phys. 139, 224103 (2013).
[Crossref] [PubMed]

Ashraf, K.

B. S. Rolczynski, H. Zheng, V. P. Singh, P. Navotnaya, R. Alan, J. R. Caram, K. Ashraf, A. T. Gardiner, S.-h. Yeh, R. J. Cogdell, and G. S. Engel, “Correlated protein environments drive quantum coherence lifetimes in photosynthetic pigment-protein complexes,” Chem 4, 138–149 (2018).
[Crossref]

Atlas, L. E.

Y. Zhao, L. E. Atlas, and R. J. Marks, “The use of cone shaped kernels for generalized time-frequency representation of nonstationary signals,” IEEE Transactions on Acoust. Speech, Signal Process. 38, 1084–1091 (1990).
[Crossref]

Axt, V. M.

V. M. Axt and T. Kuhn, “Femtosecond spectroscopy in semiconductors: A key to coherences, correlations and quantum kinetics,” Reports on Prog. Phys. 67, 433–512 (2004).
[Crossref]

Bardeen, C. J.

J. J. Burdett and C. J. Bardeen, “The dynamics of singlet fission in crystalline tetracene and covalent analogs,” Accounts Chem. Res. 46, 1312–1320 (2013).
[Crossref]

Beaulieu, S.

S. Beaulieu, A. Comby, A. Clergerie, J. Caillat, D. Descamps, N. Dudovich, B. Fabre, R. Géneaux, F. Légaré, S. Petit, B. Pons, G. Porat, T. Ruchon, R. Taïeb, V. Blanchet, and Y. Mairesse, “Attosecond-resolved photoionization of chiral molecules,” Science 358, 1288–1294 (2017).
[Crossref] [PubMed]

Bitto, H.

H. Bitto and J. Robert Huber, “Molecular quantum beats. High-resolution spectroscopy in the time domain,” Accounts Chem. Res. 25, 65–71 (1992).
[Crossref]

Blanchet, V.

S. Beaulieu, A. Comby, A. Clergerie, J. Caillat, D. Descamps, N. Dudovich, B. Fabre, R. Géneaux, F. Légaré, S. Petit, B. Pons, G. Porat, T. Ruchon, R. Taïeb, V. Blanchet, and Y. Mairesse, “Attosecond-resolved photoionization of chiral molecules,” Science 358, 1288–1294 (2017).
[Crossref] [PubMed]

Bolzonello, L.

E. Meneghin, A. Volpato, L. Cupellini, L. Bolzonello, S. Jurinovich, V. Mascoli, D. Carbonera, B. Mennucci, and E. Collini, “Coherence in carotenoid-to-chlorophyll energy transfer,” Nat. Commun. 9, 3160 (2018).
[Crossref] [PubMed]

L. Bolzonello, A. Polo, A. Volpato, E. Meneghin, M. Cordaro, M. Trapani, M. Fortino, A. Pedone, M. Castriciano, and E. Collini, “Two-dimensional electronic spectroscopy reveals dynamics and mechanisms of dolvent-driven inertial relaxation in polar BODIPY dyes,” J. Phys. Chem. Lett. 9, 1079–1085 (2018).
[Crossref] [PubMed]

E. Meneghin, C. Leonardo, A. Volpato, L. Bolzonello, and E. Collini, “Mechanistic insight into internal conversion process within Q-bands of chlorophyll a,” Sci. Reports 7, 11389 (2017).
[Crossref]

A. Volpato, L. Bolzonello, E. Meneghin, and E. Collini, “Global analysis of coherence and population dynamics in 2D electronic spectroscopy,” Opt. Express 24, 24773–24785 (2016).
[Crossref] [PubMed]

Brixner, T.

S. Schott, L. Ress, J. Hrušák, P. Nuernberger, and T. Brixner, “Identification of photofragmentation patterns in trihalide anions by global analysis of vibrational wavepacket dynamics in broadband transient absorption data,” Phys. Chem. Chem. Phys. 18, 33287–33302 (2016).
[Crossref] [PubMed]

Burdett, J. J.

J. J. Burdett and C. J. Bardeen, “The dynamics of singlet fission in crystalline tetracene and covalent analogs,” Accounts Chem. Res. 46, 1312–1320 (2013).
[Crossref]

Caillat, J.

S. Beaulieu, A. Comby, A. Clergerie, J. Caillat, D. Descamps, N. Dudovich, B. Fabre, R. Géneaux, F. Légaré, S. Petit, B. Pons, G. Porat, T. Ruchon, R. Taïeb, V. Blanchet, and Y. Mairesse, “Attosecond-resolved photoionization of chiral molecules,” Science 358, 1288–1294 (2017).
[Crossref] [PubMed]

Calegari, F.

M. Nisoli, P. Decleva, F. Calegari, A. Palacios, and F. Martín, “Attosecond electron dynamics in molecules,” Chem. Rev. 117, 10760–10825 (2017).
[Crossref] [PubMed]

M. Reduzzi, W. C. Chu, C. Feng, A. Dubrouil, J. Hummert, F. Calegari, F. Frassetto, L. Poletto, O. Kornilov, M. Nisoli, C. D. Lin, and G. Sansone, “Observation of autoionization dynamics and sub-cycle quantum beating in electronic molecular wave packets,” J. Phys. B: At. Mol. Opt. Phys. 49, 065102 (2016).
[Crossref]

Caram, J. R.

B. S. Rolczynski, H. Zheng, V. P. Singh, P. Navotnaya, R. Alan, J. R. Caram, K. Ashraf, A. T. Gardiner, S.-h. Yeh, R. J. Cogdell, and G. S. Engel, “Correlated protein environments drive quantum coherence lifetimes in photosynthetic pigment-protein complexes,” Chem 4, 138–149 (2018).
[Crossref]

Carbonera, D.

E. Meneghin, A. Volpato, L. Cupellini, L. Bolzonello, S. Jurinovich, V. Mascoli, D. Carbonera, B. Mennucci, and E. Collini, “Coherence in carotenoid-to-chlorophyll energy transfer,” Nat. Commun. 9, 3160 (2018).
[Crossref] [PubMed]

Carpeggiani, P. A.

R. Pazourek, M. Reduzzi, P. A. Carpeggiani, G. Sansone, M. Gaarde, and K. Schafer, “Ionization delays in few-cycle-pulse multiphoton quantum-beat spectroscopy in helium,” Phys. Rev. A 93, 023420 (2016).
[Crossref]

Castriciano, M.

L. Bolzonello, A. Polo, A. Volpato, E. Meneghin, M. Cordaro, M. Trapani, M. Fortino, A. Pedone, M. Castriciano, and E. Collini, “Two-dimensional electronic spectroscopy reveals dynamics and mechanisms of dolvent-driven inertial relaxation in polar BODIPY dyes,” J. Phys. Chem. Lett. 9, 1079–1085 (2018).
[Crossref] [PubMed]

Castro, E.

J. Prior, E. Castro, A. W. Chin, J. Almeida, S. F. Huelga, and M. B. Plenio, “Wavelet analysis of molecular dynamics: Efficient extraction of time-frequency information in ultrafast optical processes,” J. Chem. Phys. 139, 224103 (2013).
[Crossref] [PubMed]

Cecconello, A.

M. Cipolloni, B. Fresch, I. Occhiuto, P. Rukin, K. G. Komarova, A. Cecconello, I. Willner, R. D. Levine, F. Remacle, and E. Collini, “Coherent electronic and nuclear dynamics in a rhodamine heterodimer-DNA supramolecular complex,” Phys. Chem. Chem. Phys. 19, 23043–23051 (2017).
[Crossref] [PubMed]

Chen, D.

S. Qian and D. Chen, “Joint time-frequency analysis,” IEEE Signal Process. Mag. 16, 52–67 (1999).
[Crossref]

Chin, A. W.

E. Romero, J. Prior, A. W. Chin, S. E. Morgan, V. I. Novoderezhkin, M. B. Plenio, and R. van Grondelle, “Quantum-coherent dynamics in photosynthetic charge separation revealed by wavelet analysis,” Sci. Reports 7, 2890 (2017).
[Crossref]

J. Prior, E. Castro, A. W. Chin, J. Almeida, S. F. Huelga, and M. B. Plenio, “Wavelet analysis of molecular dynamics: Efficient extraction of time-frequency information in ultrafast optical processes,” J. Chem. Phys. 139, 224103 (2013).
[Crossref] [PubMed]

Choi, H.-I.

H.-I. Choi and W. J. Williams, “Improved time-frequency representation of multicomponent signals using exponential kernels,” IEEE Transactions on Acoust. Speech, Signal Process. 37, 862–871 (1989).
[Crossref]

Chu, W. C.

M. Reduzzi, W. C. Chu, C. Feng, A. Dubrouil, J. Hummert, F. Calegari, F. Frassetto, L. Poletto, O. Kornilov, M. Nisoli, C. D. Lin, and G. Sansone, “Observation of autoionization dynamics and sub-cycle quantum beating in electronic molecular wave packets,” J. Phys. B: At. Mol. Opt. Phys. 49, 065102 (2016).
[Crossref]

Cipolloni, M.

M. Cipolloni, B. Fresch, I. Occhiuto, P. Rukin, K. G. Komarova, A. Cecconello, I. Willner, R. D. Levine, F. Remacle, and E. Collini, “Coherent electronic and nuclear dynamics in a rhodamine heterodimer-DNA supramolecular complex,” Phys. Chem. Chem. Phys. 19, 23043–23051 (2017).
[Crossref] [PubMed]

Clergerie, A.

S. Beaulieu, A. Comby, A. Clergerie, J. Caillat, D. Descamps, N. Dudovich, B. Fabre, R. Géneaux, F. Légaré, S. Petit, B. Pons, G. Porat, T. Ruchon, R. Taïeb, V. Blanchet, and Y. Mairesse, “Attosecond-resolved photoionization of chiral molecules,” Science 358, 1288–1294 (2017).
[Crossref] [PubMed]

Cogdell, R. J.

B. S. Rolczynski, H. Zheng, V. P. Singh, P. Navotnaya, R. Alan, J. R. Caram, K. Ashraf, A. T. Gardiner, S.-h. Yeh, R. J. Cogdell, and G. S. Engel, “Correlated protein environments drive quantum coherence lifetimes in photosynthetic pigment-protein complexes,” Chem 4, 138–149 (2018).
[Crossref]

Cohen, A.

A. Cohen and J. Kovacevic, “Wavelets: the mathematical background,” Proc. IEEE 84, 514–522 (1996).
[Crossref]

Cohen, L.

L. Cohen, “Generalized phase-space distribution functions,” J. Math. Phys. 7, 781–786 (1966).
[Crossref]

L. Cohen, Time-Frequency Analysis (Prentice-Hall, 1995).

Collini, E.

E. Meneghin, D. Pedron, and E. Collini, “Characterization of the coherent dynamics of bacteriochlorophyll a in solution,” Chem. Phys. 519, 85–91 (2019).

L. Bolzonello, A. Polo, A. Volpato, E. Meneghin, M. Cordaro, M. Trapani, M. Fortino, A. Pedone, M. Castriciano, and E. Collini, “Two-dimensional electronic spectroscopy reveals dynamics and mechanisms of dolvent-driven inertial relaxation in polar BODIPY dyes,” J. Phys. Chem. Lett. 9, 1079–1085 (2018).
[Crossref] [PubMed]

E. Meneghin, A. Volpato, L. Cupellini, L. Bolzonello, S. Jurinovich, V. Mascoli, D. Carbonera, B. Mennucci, and E. Collini, “Coherence in carotenoid-to-chlorophyll energy transfer,” Nat. Commun. 9, 3160 (2018).
[Crossref] [PubMed]

E. Meneghin, C. Leonardo, A. Volpato, L. Bolzonello, and E. Collini, “Mechanistic insight into internal conversion process within Q-bands of chlorophyll a,” Sci. Reports 7, 11389 (2017).
[Crossref]

M. Cipolloni, B. Fresch, I. Occhiuto, P. Rukin, K. G. Komarova, A. Cecconello, I. Willner, R. D. Levine, F. Remacle, and E. Collini, “Coherent electronic and nuclear dynamics in a rhodamine heterodimer-DNA supramolecular complex,” Phys. Chem. Chem. Phys. 19, 23043–23051 (2017).
[Crossref] [PubMed]

A. Volpato, L. Bolzonello, E. Meneghin, and E. Collini, “Global analysis of coherence and population dynamics in 2D electronic spectroscopy,” Opt. Express 24, 24773–24785 (2016).
[Crossref] [PubMed]

A. Volpato and E. Collini, “Time-frequency methods for coherent spectroscopy,” Opt. Express 23, 20040–20050 (2015).
[Crossref] [PubMed]

E. Collini, “Spectroscopic signatures of quantum-coherent energy transfer,” Chem. Soc. Rev. 42, 4932–4947 (2013).
[Crossref] [PubMed]

Comby, A.

S. Beaulieu, A. Comby, A. Clergerie, J. Caillat, D. Descamps, N. Dudovich, B. Fabre, R. Géneaux, F. Légaré, S. Petit, B. Pons, G. Porat, T. Ruchon, R. Taïeb, V. Blanchet, and Y. Mairesse, “Attosecond-resolved photoionization of chiral molecules,” Science 358, 1288–1294 (2017).
[Crossref] [PubMed]

Cordaro, M.

L. Bolzonello, A. Polo, A. Volpato, E. Meneghin, M. Cordaro, M. Trapani, M. Fortino, A. Pedone, M. Castriciano, and E. Collini, “Two-dimensional electronic spectroscopy reveals dynamics and mechanisms of dolvent-driven inertial relaxation in polar BODIPY dyes,” J. Phys. Chem. Lett. 9, 1079–1085 (2018).
[Crossref] [PubMed]

Cupellini, L.

E. Meneghin, A. Volpato, L. Cupellini, L. Bolzonello, S. Jurinovich, V. Mascoli, D. Carbonera, B. Mennucci, and E. Collini, “Coherence in carotenoid-to-chlorophyll energy transfer,” Nat. Commun. 9, 3160 (2018).
[Crossref] [PubMed]

Daubechies, I.

I. Daubechies, J. Lu, and H. T. Wu, “Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool,” Appl. Comput. Harmon. Analysis 30, 243–261 (2011).
[Crossref]

Decleva, P.

M. Nisoli, P. Decleva, F. Calegari, A. Palacios, and F. Martín, “Attosecond electron dynamics in molecules,” Chem. Rev. 117, 10760–10825 (2017).
[Crossref] [PubMed]

Descamps, D.

S. Beaulieu, A. Comby, A. Clergerie, J. Caillat, D. Descamps, N. Dudovich, B. Fabre, R. Géneaux, F. Légaré, S. Petit, B. Pons, G. Porat, T. Ruchon, R. Taïeb, V. Blanchet, and Y. Mairesse, “Attosecond-resolved photoionization of chiral molecules,” Science 358, 1288–1294 (2017).
[Crossref] [PubMed]

Du, J.

D. Hasegawa, K. Nakata, E. Tokunaga, K. Okamura, J. Du, and T. Kobayashi, “Vibrational energy flow between modes by dynamic mode coupling in THIATS J-aggregates,” J. Phys. Chem. A 117, 11441–11448 (2013).
[Crossref] [PubMed]

Dubrouil, A.

M. Reduzzi, W. C. Chu, C. Feng, A. Dubrouil, J. Hummert, F. Calegari, F. Frassetto, L. Poletto, O. Kornilov, M. Nisoli, C. D. Lin, and G. Sansone, “Observation of autoionization dynamics and sub-cycle quantum beating in electronic molecular wave packets,” J. Phys. B: At. Mol. Opt. Phys. 49, 065102 (2016).
[Crossref]

Dudovich, N.

S. Beaulieu, A. Comby, A. Clergerie, J. Caillat, D. Descamps, N. Dudovich, B. Fabre, R. Géneaux, F. Légaré, S. Petit, B. Pons, G. Porat, T. Ruchon, R. Taïeb, V. Blanchet, and Y. Mairesse, “Attosecond-resolved photoionization of chiral molecules,” Science 358, 1288–1294 (2017).
[Crossref] [PubMed]

Engel, G. S.

B. S. Rolczynski, H. Zheng, V. P. Singh, P. Navotnaya, R. Alan, J. R. Caram, K. Ashraf, A. T. Gardiner, S.-h. Yeh, R. J. Cogdell, and G. S. Engel, “Correlated protein environments drive quantum coherence lifetimes in photosynthetic pigment-protein complexes,” Chem 4, 138–149 (2018).
[Crossref]

Fabre, B.

S. Beaulieu, A. Comby, A. Clergerie, J. Caillat, D. Descamps, N. Dudovich, B. Fabre, R. Géneaux, F. Légaré, S. Petit, B. Pons, G. Porat, T. Ruchon, R. Taïeb, V. Blanchet, and Y. Mairesse, “Attosecond-resolved photoionization of chiral molecules,” Science 358, 1288–1294 (2017).
[Crossref] [PubMed]

Feng, C.

M. Reduzzi, W. C. Chu, C. Feng, A. Dubrouil, J. Hummert, F. Calegari, F. Frassetto, L. Poletto, O. Kornilov, M. Nisoli, C. D. Lin, and G. Sansone, “Observation of autoionization dynamics and sub-cycle quantum beating in electronic molecular wave packets,” J. Phys. B: At. Mol. Opt. Phys. 49, 065102 (2016).
[Crossref]

Fortino, M.

L. Bolzonello, A. Polo, A. Volpato, E. Meneghin, M. Cordaro, M. Trapani, M. Fortino, A. Pedone, M. Castriciano, and E. Collini, “Two-dimensional electronic spectroscopy reveals dynamics and mechanisms of dolvent-driven inertial relaxation in polar BODIPY dyes,” J. Phys. Chem. Lett. 9, 1079–1085 (2018).
[Crossref] [PubMed]

Frassetto, F.

M. Reduzzi, W. C. Chu, C. Feng, A. Dubrouil, J. Hummert, F. Calegari, F. Frassetto, L. Poletto, O. Kornilov, M. Nisoli, C. D. Lin, and G. Sansone, “Observation of autoionization dynamics and sub-cycle quantum beating in electronic molecular wave packets,” J. Phys. B: At. Mol. Opt. Phys. 49, 065102 (2016).
[Crossref]

Fresch, B.

M. Cipolloni, B. Fresch, I. Occhiuto, P. Rukin, K. G. Komarova, A. Cecconello, I. Willner, R. D. Levine, F. Remacle, and E. Collini, “Coherent electronic and nuclear dynamics in a rhodamine heterodimer-DNA supramolecular complex,” Phys. Chem. Chem. Phys. 19, 23043–23051 (2017).
[Crossref] [PubMed]

Fuji, T.

T. Fuji, T. Saito, and T. Kobayashi, “Dynamical observation of Duschinsky rotation by sub-5-fs real-time spectroscopy,” Chem. Phys. Lett. 332, 324–330 (2000).
[Crossref]

Gaarde, M.

R. Pazourek, M. Reduzzi, P. A. Carpeggiani, G. Sansone, M. Gaarde, and K. Schafer, “Ionization delays in few-cycle-pulse multiphoton quantum-beat spectroscopy in helium,” Phys. Rev. A 93, 023420 (2016).
[Crossref]

Gabor, D.

D. Gabor, “Theory of Communication,” J. IEEE 93, 429–457 (1943).

Gardiner, A. T.

B. S. Rolczynski, H. Zheng, V. P. Singh, P. Navotnaya, R. Alan, J. R. Caram, K. Ashraf, A. T. Gardiner, S.-h. Yeh, R. J. Cogdell, and G. S. Engel, “Correlated protein environments drive quantum coherence lifetimes in photosynthetic pigment-protein complexes,” Chem 4, 138–149 (2018).
[Crossref]

Géneaux, R.

S. Beaulieu, A. Comby, A. Clergerie, J. Caillat, D. Descamps, N. Dudovich, B. Fabre, R. Géneaux, F. Légaré, S. Petit, B. Pons, G. Porat, T. Ruchon, R. Taïeb, V. Blanchet, and Y. Mairesse, “Attosecond-resolved photoionization of chiral molecules,” Science 358, 1288–1294 (2017).
[Crossref] [PubMed]

Hack, E.

E. Hack and J. R. Huber, “Quantum beat spectroscopy of molecules,” Int. Rev. Phys. Chem. 10, 287–317 (1991).
[Crossref]

Hasegawa, D.

D. Hasegawa, K. Nakata, E. Tokunaga, K. Okamura, J. Du, and T. Kobayashi, “Vibrational energy flow between modes by dynamic mode coupling in THIATS J-aggregates,” J. Phys. Chem. A 117, 11441–11448 (2013).
[Crossref] [PubMed]

Hrušák, J.

S. Schott, L. Ress, J. Hrušák, P. Nuernberger, and T. Brixner, “Identification of photofragmentation patterns in trihalide anions by global analysis of vibrational wavepacket dynamics in broadband transient absorption data,” Phys. Chem. Chem. Phys. 18, 33287–33302 (2016).
[Crossref] [PubMed]

Huber, J. R.

E. Hack and J. R. Huber, “Quantum beat spectroscopy of molecules,” Int. Rev. Phys. Chem. 10, 287–317 (1991).
[Crossref]

Huelga, S. F.

J. Prior, E. Castro, A. W. Chin, J. Almeida, S. F. Huelga, and M. B. Plenio, “Wavelet analysis of molecular dynamics: Efficient extraction of time-frequency information in ultrafast optical processes,” J. Chem. Phys. 139, 224103 (2013).
[Crossref] [PubMed]

Hummert, J.

M. Reduzzi, W. C. Chu, C. Feng, A. Dubrouil, J. Hummert, F. Calegari, F. Frassetto, L. Poletto, O. Kornilov, M. Nisoli, C. D. Lin, and G. Sansone, “Observation of autoionization dynamics and sub-cycle quantum beating in electronic molecular wave packets,” J. Phys. B: At. Mol. Opt. Phys. 49, 065102 (2016).
[Crossref]

Jonas, D. M.

D. M. Jonas, “Vibrational and nonadiabatic coherence in 2D electronic spectroscopy, the Jahn-Teller effect, and energy transfer,” Annu. Rev. Phys. Chem. 69, 327–352 (2018).
[Crossref] [PubMed]

Jumper, C. C.

I. H. M. van Stokkum, C. C. Jumper, J. J. Snellenburg, G. D. Scholes, R. van Grondelle, and P. Malý, “Estimation of damped oscillation associated spectra from ultrafast transient absorption spectra,” The J. Chem. Phys. 145, 174201 (2016).
[Crossref] [PubMed]

Jurinovich, S.

E. Meneghin, A. Volpato, L. Cupellini, L. Bolzonello, S. Jurinovich, V. Mascoli, D. Carbonera, B. Mennucci, and E. Collini, “Coherence in carotenoid-to-chlorophyll energy transfer,” Nat. Commun. 9, 3160 (2018).
[Crossref] [PubMed]

Kobayashi, T.

D. Hasegawa, K. Nakata, E. Tokunaga, K. Okamura, J. Du, and T. Kobayashi, “Vibrational energy flow between modes by dynamic mode coupling in THIATS J-aggregates,” J. Phys. Chem. A 117, 11441–11448 (2013).
[Crossref] [PubMed]

T. Kobayashi and A. Yabushita, “Transition-state spectroscopy using ultrashort laser pulses,” Chem. Rec. 11, 99–116 (2011).
[Crossref] [PubMed]

A. Yabushita and T. Kobayashi, “Primary conformation change in bacteriorhodopsin on photoexcitation,” Biophys. J. 96, 1447–1461 (2009).
[Crossref] [PubMed]

T. Fuji, T. Saito, and T. Kobayashi, “Dynamical observation of Duschinsky rotation by sub-5-fs real-time spectroscopy,” Chem. Phys. Lett. 332, 324–330 (2000).
[Crossref]

Komarova, K. G.

M. Cipolloni, B. Fresch, I. Occhiuto, P. Rukin, K. G. Komarova, A. Cecconello, I. Willner, R. D. Levine, F. Remacle, and E. Collini, “Coherent electronic and nuclear dynamics in a rhodamine heterodimer-DNA supramolecular complex,” Phys. Chem. Chem. Phys. 19, 23043–23051 (2017).
[Crossref] [PubMed]

Kornilov, O.

M. Reduzzi, W. C. Chu, C. Feng, A. Dubrouil, J. Hummert, F. Calegari, F. Frassetto, L. Poletto, O. Kornilov, M. Nisoli, C. D. Lin, and G. Sansone, “Observation of autoionization dynamics and sub-cycle quantum beating in electronic molecular wave packets,” J. Phys. B: At. Mol. Opt. Phys. 49, 065102 (2016).
[Crossref]

Kovacevic, J.

A. Cohen and J. Kovacevic, “Wavelets: the mathematical background,” Proc. IEEE 84, 514–522 (1996).
[Crossref]

Kuhn, T.

V. M. Axt and T. Kuhn, “Femtosecond spectroscopy in semiconductors: A key to coherences, correlations and quantum kinetics,” Reports on Prog. Phys. 67, 433–512 (2004).
[Crossref]

Légaré, F.

S. Beaulieu, A. Comby, A. Clergerie, J. Caillat, D. Descamps, N. Dudovich, B. Fabre, R. Géneaux, F. Légaré, S. Petit, B. Pons, G. Porat, T. Ruchon, R. Taïeb, V. Blanchet, and Y. Mairesse, “Attosecond-resolved photoionization of chiral molecules,” Science 358, 1288–1294 (2017).
[Crossref] [PubMed]

Leonardo, C.

E. Meneghin, C. Leonardo, A. Volpato, L. Bolzonello, and E. Collini, “Mechanistic insight into internal conversion process within Q-bands of chlorophyll a,” Sci. Reports 7, 11389 (2017).
[Crossref]

Levine, R. D.

M. Cipolloni, B. Fresch, I. Occhiuto, P. Rukin, K. G. Komarova, A. Cecconello, I. Willner, R. D. Levine, F. Remacle, and E. Collini, “Coherent electronic and nuclear dynamics in a rhodamine heterodimer-DNA supramolecular complex,” Phys. Chem. Chem. Phys. 19, 23043–23051 (2017).
[Crossref] [PubMed]

Lin, C. D.

M. Reduzzi, W. C. Chu, C. Feng, A. Dubrouil, J. Hummert, F. Calegari, F. Frassetto, L. Poletto, O. Kornilov, M. Nisoli, C. D. Lin, and G. Sansone, “Observation of autoionization dynamics and sub-cycle quantum beating in electronic molecular wave packets,” J. Phys. B: At. Mol. Opt. Phys. 49, 065102 (2016).
[Crossref]

Lu, J.

I. Daubechies, J. Lu, and H. T. Wu, “Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool,” Appl. Comput. Harmon. Analysis 30, 243–261 (2011).
[Crossref]

Mairesse, Y.

S. Beaulieu, A. Comby, A. Clergerie, J. Caillat, D. Descamps, N. Dudovich, B. Fabre, R. Géneaux, F. Légaré, S. Petit, B. Pons, G. Porat, T. Ruchon, R. Taïeb, V. Blanchet, and Y. Mairesse, “Attosecond-resolved photoionization of chiral molecules,” Science 358, 1288–1294 (2017).
[Crossref] [PubMed]

Malý, P.

I. H. M. van Stokkum, C. C. Jumper, J. J. Snellenburg, G. D. Scholes, R. van Grondelle, and P. Malý, “Estimation of damped oscillation associated spectra from ultrafast transient absorption spectra,” The J. Chem. Phys. 145, 174201 (2016).
[Crossref] [PubMed]

Marks, R. J.

Y. Zhao, L. E. Atlas, and R. J. Marks, “The use of cone shaped kernels for generalized time-frequency representation of nonstationary signals,” IEEE Transactions on Acoust. Speech, Signal Process. 38, 1084–1091 (1990).
[Crossref]

Martín, F.

M. Nisoli, P. Decleva, F. Calegari, A. Palacios, and F. Martín, “Attosecond electron dynamics in molecules,” Chem. Rev. 117, 10760–10825 (2017).
[Crossref] [PubMed]

Mascoli, V.

E. Meneghin, A. Volpato, L. Cupellini, L. Bolzonello, S. Jurinovich, V. Mascoli, D. Carbonera, B. Mennucci, and E. Collini, “Coherence in carotenoid-to-chlorophyll energy transfer,” Nat. Commun. 9, 3160 (2018).
[Crossref] [PubMed]

Meneghin, E.

E. Meneghin, D. Pedron, and E. Collini, “Characterization of the coherent dynamics of bacteriochlorophyll a in solution,” Chem. Phys. 519, 85–91 (2019).

L. Bolzonello, A. Polo, A. Volpato, E. Meneghin, M. Cordaro, M. Trapani, M. Fortino, A. Pedone, M. Castriciano, and E. Collini, “Two-dimensional electronic spectroscopy reveals dynamics and mechanisms of dolvent-driven inertial relaxation in polar BODIPY dyes,” J. Phys. Chem. Lett. 9, 1079–1085 (2018).
[Crossref] [PubMed]

E. Meneghin, A. Volpato, L. Cupellini, L. Bolzonello, S. Jurinovich, V. Mascoli, D. Carbonera, B. Mennucci, and E. Collini, “Coherence in carotenoid-to-chlorophyll energy transfer,” Nat. Commun. 9, 3160 (2018).
[Crossref] [PubMed]

E. Meneghin, C. Leonardo, A. Volpato, L. Bolzonello, and E. Collini, “Mechanistic insight into internal conversion process within Q-bands of chlorophyll a,” Sci. Reports 7, 11389 (2017).
[Crossref]

A. Volpato, L. Bolzonello, E. Meneghin, and E. Collini, “Global analysis of coherence and population dynamics in 2D electronic spectroscopy,” Opt. Express 24, 24773–24785 (2016).
[Crossref] [PubMed]

Mennucci, B.

E. Meneghin, A. Volpato, L. Cupellini, L. Bolzonello, S. Jurinovich, V. Mascoli, D. Carbonera, B. Mennucci, and E. Collini, “Coherence in carotenoid-to-chlorophyll energy transfer,” Nat. Commun. 9, 3160 (2018).
[Crossref] [PubMed]

Morgan, S. E.

E. Romero, J. Prior, A. W. Chin, S. E. Morgan, V. I. Novoderezhkin, M. B. Plenio, and R. van Grondelle, “Quantum-coherent dynamics in photosynthetic charge separation revealed by wavelet analysis,” Sci. Reports 7, 2890 (2017).
[Crossref]

Morris, J. M.

D. Wu and J. M. Morris, “Time-frequency representations using a radial Butterworth kernel,” Int. Symp. on Time-Frequency Time-Scale Analysis pp. 60–63 (1994).

Mukamel, S.

S. Mukamel, Principles of Nonlinear Optical Spectroscopy (Oxford University, 1995).

Nakata, K.

D. Hasegawa, K. Nakata, E. Tokunaga, K. Okamura, J. Du, and T. Kobayashi, “Vibrational energy flow between modes by dynamic mode coupling in THIATS J-aggregates,” J. Phys. Chem. A 117, 11441–11448 (2013).
[Crossref] [PubMed]

Navotnaya, P.

B. S. Rolczynski, H. Zheng, V. P. Singh, P. Navotnaya, R. Alan, J. R. Caram, K. Ashraf, A. T. Gardiner, S.-h. Yeh, R. J. Cogdell, and G. S. Engel, “Correlated protein environments drive quantum coherence lifetimes in photosynthetic pigment-protein complexes,” Chem 4, 138–149 (2018).
[Crossref]

Nisoli, M.

M. Nisoli, P. Decleva, F. Calegari, A. Palacios, and F. Martín, “Attosecond electron dynamics in molecules,” Chem. Rev. 117, 10760–10825 (2017).
[Crossref] [PubMed]

M. Reduzzi, W. C. Chu, C. Feng, A. Dubrouil, J. Hummert, F. Calegari, F. Frassetto, L. Poletto, O. Kornilov, M. Nisoli, C. D. Lin, and G. Sansone, “Observation of autoionization dynamics and sub-cycle quantum beating in electronic molecular wave packets,” J. Phys. B: At. Mol. Opt. Phys. 49, 065102 (2016).
[Crossref]

Novoderezhkin, V. I.

E. Romero, J. Prior, A. W. Chin, S. E. Morgan, V. I. Novoderezhkin, M. B. Plenio, and R. van Grondelle, “Quantum-coherent dynamics in photosynthetic charge separation revealed by wavelet analysis,” Sci. Reports 7, 2890 (2017).
[Crossref]

V. I. Novoderezhkin, E. Romero, J. Prior, and R. Van Grondelle, “Exciton-vibrational resonance and dynamics of charge separation in the photosystem II reaction center,” Phys. Chem. Chem. Phys. 19, 5195–5208 (2017).
[Crossref] [PubMed]

Nuernberger, P.

S. Schott, L. Ress, J. Hrušák, P. Nuernberger, and T. Brixner, “Identification of photofragmentation patterns in trihalide anions by global analysis of vibrational wavepacket dynamics in broadband transient absorption data,” Phys. Chem. Chem. Phys. 18, 33287–33302 (2016).
[Crossref] [PubMed]

Occhiuto, I.

M. Cipolloni, B. Fresch, I. Occhiuto, P. Rukin, K. G. Komarova, A. Cecconello, I. Willner, R. D. Levine, F. Remacle, and E. Collini, “Coherent electronic and nuclear dynamics in a rhodamine heterodimer-DNA supramolecular complex,” Phys. Chem. Chem. Phys. 19, 23043–23051 (2017).
[Crossref] [PubMed]

Okamura, K.

D. Hasegawa, K. Nakata, E. Tokunaga, K. Okamura, J. Du, and T. Kobayashi, “Vibrational energy flow between modes by dynamic mode coupling in THIATS J-aggregates,” J. Phys. Chem. A 117, 11441–11448 (2013).
[Crossref] [PubMed]

Palacios, A.

M. Nisoli, P. Decleva, F. Calegari, A. Palacios, and F. Martín, “Attosecond electron dynamics in molecules,” Chem. Rev. 117, 10760–10825 (2017).
[Crossref] [PubMed]

Pazourek, R.

R. Pazourek, M. Reduzzi, P. A. Carpeggiani, G. Sansone, M. Gaarde, and K. Schafer, “Ionization delays in few-cycle-pulse multiphoton quantum-beat spectroscopy in helium,” Phys. Rev. A 93, 023420 (2016).
[Crossref]

Pedone, A.

L. Bolzonello, A. Polo, A. Volpato, E. Meneghin, M. Cordaro, M. Trapani, M. Fortino, A. Pedone, M. Castriciano, and E. Collini, “Two-dimensional electronic spectroscopy reveals dynamics and mechanisms of dolvent-driven inertial relaxation in polar BODIPY dyes,” J. Phys. Chem. Lett. 9, 1079–1085 (2018).
[Crossref] [PubMed]

Pedron, D.

E. Meneghin, D. Pedron, and E. Collini, “Characterization of the coherent dynamics of bacteriochlorophyll a in solution,” Chem. Phys. 519, 85–91 (2019).

Petit, S.

S. Beaulieu, A. Comby, A. Clergerie, J. Caillat, D. Descamps, N. Dudovich, B. Fabre, R. Géneaux, F. Légaré, S. Petit, B. Pons, G. Porat, T. Ruchon, R. Taïeb, V. Blanchet, and Y. Mairesse, “Attosecond-resolved photoionization of chiral molecules,” Science 358, 1288–1294 (2017).
[Crossref] [PubMed]

Plenio, M. B.

E. Romero, J. Prior, A. W. Chin, S. E. Morgan, V. I. Novoderezhkin, M. B. Plenio, and R. van Grondelle, “Quantum-coherent dynamics in photosynthetic charge separation revealed by wavelet analysis,” Sci. Reports 7, 2890 (2017).
[Crossref]

J. Prior, E. Castro, A. W. Chin, J. Almeida, S. F. Huelga, and M. B. Plenio, “Wavelet analysis of molecular dynamics: Efficient extraction of time-frequency information in ultrafast optical processes,” J. Chem. Phys. 139, 224103 (2013).
[Crossref] [PubMed]

Polanyi, J. C.

J. C. Polanyi and A. H. Zewail, “Direct observation of the transition state,” Accounts Chem. Res. 28, 119–132 (1995).
[Crossref]

Poletto, L.

M. Reduzzi, W. C. Chu, C. Feng, A. Dubrouil, J. Hummert, F. Calegari, F. Frassetto, L. Poletto, O. Kornilov, M. Nisoli, C. D. Lin, and G. Sansone, “Observation of autoionization dynamics and sub-cycle quantum beating in electronic molecular wave packets,” J. Phys. B: At. Mol. Opt. Phys. 49, 065102 (2016).
[Crossref]

Polo, A.

L. Bolzonello, A. Polo, A. Volpato, E. Meneghin, M. Cordaro, M. Trapani, M. Fortino, A. Pedone, M. Castriciano, and E. Collini, “Two-dimensional electronic spectroscopy reveals dynamics and mechanisms of dolvent-driven inertial relaxation in polar BODIPY dyes,” J. Phys. Chem. Lett. 9, 1079–1085 (2018).
[Crossref] [PubMed]

Pons, B.

S. Beaulieu, A. Comby, A. Clergerie, J. Caillat, D. Descamps, N. Dudovich, B. Fabre, R. Géneaux, F. Légaré, S. Petit, B. Pons, G. Porat, T. Ruchon, R. Taïeb, V. Blanchet, and Y. Mairesse, “Attosecond-resolved photoionization of chiral molecules,” Science 358, 1288–1294 (2017).
[Crossref] [PubMed]

Porat, G.

S. Beaulieu, A. Comby, A. Clergerie, J. Caillat, D. Descamps, N. Dudovich, B. Fabre, R. Géneaux, F. Légaré, S. Petit, B. Pons, G. Porat, T. Ruchon, R. Taïeb, V. Blanchet, and Y. Mairesse, “Attosecond-resolved photoionization of chiral molecules,” Science 358, 1288–1294 (2017).
[Crossref] [PubMed]

Prior, J.

V. I. Novoderezhkin, E. Romero, J. Prior, and R. Van Grondelle, “Exciton-vibrational resonance and dynamics of charge separation in the photosystem II reaction center,” Phys. Chem. Chem. Phys. 19, 5195–5208 (2017).
[Crossref] [PubMed]

E. Romero, J. Prior, A. W. Chin, S. E. Morgan, V. I. Novoderezhkin, M. B. Plenio, and R. van Grondelle, “Quantum-coherent dynamics in photosynthetic charge separation revealed by wavelet analysis,” Sci. Reports 7, 2890 (2017).
[Crossref]

J. Prior, E. Castro, A. W. Chin, J. Almeida, S. F. Huelga, and M. B. Plenio, “Wavelet analysis of molecular dynamics: Efficient extraction of time-frequency information in ultrafast optical processes,” J. Chem. Phys. 139, 224103 (2013).
[Crossref] [PubMed]

Qian, S.

S. Qian and D. Chen, “Joint time-frequency analysis,” IEEE Signal Process. Mag. 16, 52–67 (1999).
[Crossref]

Reduzzi, M.

R. Pazourek, M. Reduzzi, P. A. Carpeggiani, G. Sansone, M. Gaarde, and K. Schafer, “Ionization delays in few-cycle-pulse multiphoton quantum-beat spectroscopy in helium,” Phys. Rev. A 93, 023420 (2016).
[Crossref]

M. Reduzzi, W. C. Chu, C. Feng, A. Dubrouil, J. Hummert, F. Calegari, F. Frassetto, L. Poletto, O. Kornilov, M. Nisoli, C. D. Lin, and G. Sansone, “Observation of autoionization dynamics and sub-cycle quantum beating in electronic molecular wave packets,” J. Phys. B: At. Mol. Opt. Phys. 49, 065102 (2016).
[Crossref]

Remacle, F.

M. Cipolloni, B. Fresch, I. Occhiuto, P. Rukin, K. G. Komarova, A. Cecconello, I. Willner, R. D. Levine, F. Remacle, and E. Collini, “Coherent electronic and nuclear dynamics in a rhodamine heterodimer-DNA supramolecular complex,” Phys. Chem. Chem. Phys. 19, 23043–23051 (2017).
[Crossref] [PubMed]

Ress, L.

S. Schott, L. Ress, J. Hrušák, P. Nuernberger, and T. Brixner, “Identification of photofragmentation patterns in trihalide anions by global analysis of vibrational wavepacket dynamics in broadband transient absorption data,” Phys. Chem. Chem. Phys. 18, 33287–33302 (2016).
[Crossref] [PubMed]

Robert Huber, J.

H. Bitto and J. Robert Huber, “Molecular quantum beats. High-resolution spectroscopy in the time domain,” Accounts Chem. Res. 25, 65–71 (1992).
[Crossref]

Rolczynski, B. S.

B. S. Rolczynski, H. Zheng, V. P. Singh, P. Navotnaya, R. Alan, J. R. Caram, K. Ashraf, A. T. Gardiner, S.-h. Yeh, R. J. Cogdell, and G. S. Engel, “Correlated protein environments drive quantum coherence lifetimes in photosynthetic pigment-protein complexes,” Chem 4, 138–149 (2018).
[Crossref]

Romero, E.

E. Romero, J. Prior, A. W. Chin, S. E. Morgan, V. I. Novoderezhkin, M. B. Plenio, and R. van Grondelle, “Quantum-coherent dynamics in photosynthetic charge separation revealed by wavelet analysis,” Sci. Reports 7, 2890 (2017).
[Crossref]

V. I. Novoderezhkin, E. Romero, J. Prior, and R. Van Grondelle, “Exciton-vibrational resonance and dynamics of charge separation in the photosystem II reaction center,” Phys. Chem. Chem. Phys. 19, 5195–5208 (2017).
[Crossref] [PubMed]

Ruchon, T.

S. Beaulieu, A. Comby, A. Clergerie, J. Caillat, D. Descamps, N. Dudovich, B. Fabre, R. Géneaux, F. Légaré, S. Petit, B. Pons, G. Porat, T. Ruchon, R. Taïeb, V. Blanchet, and Y. Mairesse, “Attosecond-resolved photoionization of chiral molecules,” Science 358, 1288–1294 (2017).
[Crossref] [PubMed]

Rukin, P.

M. Cipolloni, B. Fresch, I. Occhiuto, P. Rukin, K. G. Komarova, A. Cecconello, I. Willner, R. D. Levine, F. Remacle, and E. Collini, “Coherent electronic and nuclear dynamics in a rhodamine heterodimer-DNA supramolecular complex,” Phys. Chem. Chem. Phys. 19, 23043–23051 (2017).
[Crossref] [PubMed]

Saito, T.

T. Fuji, T. Saito, and T. Kobayashi, “Dynamical observation of Duschinsky rotation by sub-5-fs real-time spectroscopy,” Chem. Phys. Lett. 332, 324–330 (2000).
[Crossref]

Sansone, G.

R. Pazourek, M. Reduzzi, P. A. Carpeggiani, G. Sansone, M. Gaarde, and K. Schafer, “Ionization delays in few-cycle-pulse multiphoton quantum-beat spectroscopy in helium,” Phys. Rev. A 93, 023420 (2016).
[Crossref]

M. Reduzzi, W. C. Chu, C. Feng, A. Dubrouil, J. Hummert, F. Calegari, F. Frassetto, L. Poletto, O. Kornilov, M. Nisoli, C. D. Lin, and G. Sansone, “Observation of autoionization dynamics and sub-cycle quantum beating in electronic molecular wave packets,” J. Phys. B: At. Mol. Opt. Phys. 49, 065102 (2016).
[Crossref]

Schafer, K.

R. Pazourek, M. Reduzzi, P. A. Carpeggiani, G. Sansone, M. Gaarde, and K. Schafer, “Ionization delays in few-cycle-pulse multiphoton quantum-beat spectroscopy in helium,” Phys. Rev. A 93, 023420 (2016).
[Crossref]

Scholes, G. D.

I. H. M. van Stokkum, C. C. Jumper, J. J. Snellenburg, G. D. Scholes, R. van Grondelle, and P. Malý, “Estimation of damped oscillation associated spectra from ultrafast transient absorption spectra,” The J. Chem. Phys. 145, 174201 (2016).
[Crossref] [PubMed]

Schott, S.

S. Schott, L. Ress, J. Hrušák, P. Nuernberger, and T. Brixner, “Identification of photofragmentation patterns in trihalide anions by global analysis of vibrational wavepacket dynamics in broadband transient absorption data,” Phys. Chem. Chem. Phys. 18, 33287–33302 (2016).
[Crossref] [PubMed]

Singh, V. P.

B. S. Rolczynski, H. Zheng, V. P. Singh, P. Navotnaya, R. Alan, J. R. Caram, K. Ashraf, A. T. Gardiner, S.-h. Yeh, R. J. Cogdell, and G. S. Engel, “Correlated protein environments drive quantum coherence lifetimes in photosynthetic pigment-protein complexes,” Chem 4, 138–149 (2018).
[Crossref]

Snellenburg, J. J.

I. H. M. van Stokkum, C. C. Jumper, J. J. Snellenburg, G. D. Scholes, R. van Grondelle, and P. Malý, “Estimation of damped oscillation associated spectra from ultrafast transient absorption spectra,” The J. Chem. Phys. 145, 174201 (2016).
[Crossref] [PubMed]

Stolow, A.

M. J. J. Vrakking, D. M. Villeneuve, and A. Stolow, “Observation of fractional revivals of a molecular wave packet,” Phys. Rev. A 54, R37–R40 (1996).
[Crossref] [PubMed]

Taïeb, R.

S. Beaulieu, A. Comby, A. Clergerie, J. Caillat, D. Descamps, N. Dudovich, B. Fabre, R. Géneaux, F. Légaré, S. Petit, B. Pons, G. Porat, T. Ruchon, R. Taïeb, V. Blanchet, and Y. Mairesse, “Attosecond-resolved photoionization of chiral molecules,” Science 358, 1288–1294 (2017).
[Crossref] [PubMed]

Tokunaga, E.

D. Hasegawa, K. Nakata, E. Tokunaga, K. Okamura, J. Du, and T. Kobayashi, “Vibrational energy flow between modes by dynamic mode coupling in THIATS J-aggregates,” J. Phys. Chem. A 117, 11441–11448 (2013).
[Crossref] [PubMed]

Trapani, M.

L. Bolzonello, A. Polo, A. Volpato, E. Meneghin, M. Cordaro, M. Trapani, M. Fortino, A. Pedone, M. Castriciano, and E. Collini, “Two-dimensional electronic spectroscopy reveals dynamics and mechanisms of dolvent-driven inertial relaxation in polar BODIPY dyes,” J. Phys. Chem. Lett. 9, 1079–1085 (2018).
[Crossref] [PubMed]

Van Grondelle, R.

V. I. Novoderezhkin, E. Romero, J. Prior, and R. Van Grondelle, “Exciton-vibrational resonance and dynamics of charge separation in the photosystem II reaction center,” Phys. Chem. Chem. Phys. 19, 5195–5208 (2017).
[Crossref] [PubMed]

E. Romero, J. Prior, A. W. Chin, S. E. Morgan, V. I. Novoderezhkin, M. B. Plenio, and R. van Grondelle, “Quantum-coherent dynamics in photosynthetic charge separation revealed by wavelet analysis,” Sci. Reports 7, 2890 (2017).
[Crossref]

I. H. M. van Stokkum, C. C. Jumper, J. J. Snellenburg, G. D. Scholes, R. van Grondelle, and P. Malý, “Estimation of damped oscillation associated spectra from ultrafast transient absorption spectra,” The J. Chem. Phys. 145, 174201 (2016).
[Crossref] [PubMed]

van Stokkum, I. H. M.

I. H. M. van Stokkum, C. C. Jumper, J. J. Snellenburg, G. D. Scholes, R. van Grondelle, and P. Malý, “Estimation of damped oscillation associated spectra from ultrafast transient absorption spectra,” The J. Chem. Phys. 145, 174201 (2016).
[Crossref] [PubMed]

Villeneuve, D. M.

M. J. J. Vrakking, D. M. Villeneuve, and A. Stolow, “Observation of fractional revivals of a molecular wave packet,” Phys. Rev. A 54, R37–R40 (1996).
[Crossref] [PubMed]

Volpato, A.

E. Meneghin, A. Volpato, L. Cupellini, L. Bolzonello, S. Jurinovich, V. Mascoli, D. Carbonera, B. Mennucci, and E. Collini, “Coherence in carotenoid-to-chlorophyll energy transfer,” Nat. Commun. 9, 3160 (2018).
[Crossref] [PubMed]

L. Bolzonello, A. Polo, A. Volpato, E. Meneghin, M. Cordaro, M. Trapani, M. Fortino, A. Pedone, M. Castriciano, and E. Collini, “Two-dimensional electronic spectroscopy reveals dynamics and mechanisms of dolvent-driven inertial relaxation in polar BODIPY dyes,” J. Phys. Chem. Lett. 9, 1079–1085 (2018).
[Crossref] [PubMed]

E. Meneghin, C. Leonardo, A. Volpato, L. Bolzonello, and E. Collini, “Mechanistic insight into internal conversion process within Q-bands of chlorophyll a,” Sci. Reports 7, 11389 (2017).
[Crossref]

A. Volpato, L. Bolzonello, E. Meneghin, and E. Collini, “Global analysis of coherence and population dynamics in 2D electronic spectroscopy,” Opt. Express 24, 24773–24785 (2016).
[Crossref] [PubMed]

A. Volpato and E. Collini, “Time-frequency methods for coherent spectroscopy,” Opt. Express 23, 20040–20050 (2015).
[Crossref] [PubMed]

Vrakking, M. J. J.

M. J. J. Vrakking, D. M. Villeneuve, and A. Stolow, “Observation of fractional revivals of a molecular wave packet,” Phys. Rev. A 54, R37–R40 (1996).
[Crossref] [PubMed]

Williams, W. J.

H.-I. Choi and W. J. Williams, “Improved time-frequency representation of multicomponent signals using exponential kernels,” IEEE Transactions on Acoust. Speech, Signal Process. 37, 862–871 (1989).
[Crossref]

Willner, I.

M. Cipolloni, B. Fresch, I. Occhiuto, P. Rukin, K. G. Komarova, A. Cecconello, I. Willner, R. D. Levine, F. Remacle, and E. Collini, “Coherent electronic and nuclear dynamics in a rhodamine heterodimer-DNA supramolecular complex,” Phys. Chem. Chem. Phys. 19, 23043–23051 (2017).
[Crossref] [PubMed]

Wu, D.

D. Wu and J. M. Morris, “Time-frequency representations using a radial Butterworth kernel,” Int. Symp. on Time-Frequency Time-Scale Analysis pp. 60–63 (1994).

Wu, H. T.

I. Daubechies, J. Lu, and H. T. Wu, “Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool,” Appl. Comput. Harmon. Analysis 30, 243–261 (2011).
[Crossref]

Yabushita, A.

T. Kobayashi and A. Yabushita, “Transition-state spectroscopy using ultrashort laser pulses,” Chem. Rec. 11, 99–116 (2011).
[Crossref] [PubMed]

A. Yabushita and T. Kobayashi, “Primary conformation change in bacteriorhodopsin on photoexcitation,” Biophys. J. 96, 1447–1461 (2009).
[Crossref] [PubMed]

Yeh, S.-h.

B. S. Rolczynski, H. Zheng, V. P. Singh, P. Navotnaya, R. Alan, J. R. Caram, K. Ashraf, A. T. Gardiner, S.-h. Yeh, R. J. Cogdell, and G. S. Engel, “Correlated protein environments drive quantum coherence lifetimes in photosynthetic pigment-protein complexes,” Chem 4, 138–149 (2018).
[Crossref]

Zewail, A. H.

J. C. Polanyi and A. H. Zewail, “Direct observation of the transition state,” Accounts Chem. Res. 28, 119–132 (1995).
[Crossref]

Zhao, Y.

Y. Zhao, L. E. Atlas, and R. J. Marks, “The use of cone shaped kernels for generalized time-frequency representation of nonstationary signals,” IEEE Transactions on Acoust. Speech, Signal Process. 38, 1084–1091 (1990).
[Crossref]

Zheng, H.

B. S. Rolczynski, H. Zheng, V. P. Singh, P. Navotnaya, R. Alan, J. R. Caram, K. Ashraf, A. T. Gardiner, S.-h. Yeh, R. J. Cogdell, and G. S. Engel, “Correlated protein environments drive quantum coherence lifetimes in photosynthetic pigment-protein complexes,” Chem 4, 138–149 (2018).
[Crossref]

Accounts Chem. Res. (3)

J. C. Polanyi and A. H. Zewail, “Direct observation of the transition state,” Accounts Chem. Res. 28, 119–132 (1995).
[Crossref]

H. Bitto and J. Robert Huber, “Molecular quantum beats. High-resolution spectroscopy in the time domain,” Accounts Chem. Res. 25, 65–71 (1992).
[Crossref]

J. J. Burdett and C. J. Bardeen, “The dynamics of singlet fission in crystalline tetracene and covalent analogs,” Accounts Chem. Res. 46, 1312–1320 (2013).
[Crossref]

Annu. Rev. Phys. Chem. (1)

D. M. Jonas, “Vibrational and nonadiabatic coherence in 2D electronic spectroscopy, the Jahn-Teller effect, and energy transfer,” Annu. Rev. Phys. Chem. 69, 327–352 (2018).
[Crossref] [PubMed]

Appl. Comput. Harmon. Analysis (1)

I. Daubechies, J. Lu, and H. T. Wu, “Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool,” Appl. Comput. Harmon. Analysis 30, 243–261 (2011).
[Crossref]

Biophys. J. (1)

A. Yabushita and T. Kobayashi, “Primary conformation change in bacteriorhodopsin on photoexcitation,” Biophys. J. 96, 1447–1461 (2009).
[Crossref] [PubMed]

Chem (1)

B. S. Rolczynski, H. Zheng, V. P. Singh, P. Navotnaya, R. Alan, J. R. Caram, K. Ashraf, A. T. Gardiner, S.-h. Yeh, R. J. Cogdell, and G. S. Engel, “Correlated protein environments drive quantum coherence lifetimes in photosynthetic pigment-protein complexes,” Chem 4, 138–149 (2018).
[Crossref]

Chem. Phys. (1)

E. Meneghin, D. Pedron, and E. Collini, “Characterization of the coherent dynamics of bacteriochlorophyll a in solution,” Chem. Phys. 519, 85–91 (2019).

Chem. Phys. Lett. (1)

T. Fuji, T. Saito, and T. Kobayashi, “Dynamical observation of Duschinsky rotation by sub-5-fs real-time spectroscopy,” Chem. Phys. Lett. 332, 324–330 (2000).
[Crossref]

Chem. Rec. (1)

T. Kobayashi and A. Yabushita, “Transition-state spectroscopy using ultrashort laser pulses,” Chem. Rec. 11, 99–116 (2011).
[Crossref] [PubMed]

Chem. Rev. (1)

M. Nisoli, P. Decleva, F. Calegari, A. Palacios, and F. Martín, “Attosecond electron dynamics in molecules,” Chem. Rev. 117, 10760–10825 (2017).
[Crossref] [PubMed]

Chem. Soc. Rev. (1)

E. Collini, “Spectroscopic signatures of quantum-coherent energy transfer,” Chem. Soc. Rev. 42, 4932–4947 (2013).
[Crossref] [PubMed]

IEEE Signal Process. Mag. (1)

S. Qian and D. Chen, “Joint time-frequency analysis,” IEEE Signal Process. Mag. 16, 52–67 (1999).
[Crossref]

IEEE Transactions on Acoust. Speech, Signal Process. (2)

H.-I. Choi and W. J. Williams, “Improved time-frequency representation of multicomponent signals using exponential kernels,” IEEE Transactions on Acoust. Speech, Signal Process. 37, 862–871 (1989).
[Crossref]

Y. Zhao, L. E. Atlas, and R. J. Marks, “The use of cone shaped kernels for generalized time-frequency representation of nonstationary signals,” IEEE Transactions on Acoust. Speech, Signal Process. 38, 1084–1091 (1990).
[Crossref]

Int. Rev. Phys. Chem. (1)

E. Hack and J. R. Huber, “Quantum beat spectroscopy of molecules,” Int. Rev. Phys. Chem. 10, 287–317 (1991).
[Crossref]

J. Chem. Phys. (1)

J. Prior, E. Castro, A. W. Chin, J. Almeida, S. F. Huelga, and M. B. Plenio, “Wavelet analysis of molecular dynamics: Efficient extraction of time-frequency information in ultrafast optical processes,” J. Chem. Phys. 139, 224103 (2013).
[Crossref] [PubMed]

J. IEEE (1)

D. Gabor, “Theory of Communication,” J. IEEE 93, 429–457 (1943).

J. Math. Phys. (1)

L. Cohen, “Generalized phase-space distribution functions,” J. Math. Phys. 7, 781–786 (1966).
[Crossref]

J. Phys. B: At. Mol. Opt. Phys. (1)

M. Reduzzi, W. C. Chu, C. Feng, A. Dubrouil, J. Hummert, F. Calegari, F. Frassetto, L. Poletto, O. Kornilov, M. Nisoli, C. D. Lin, and G. Sansone, “Observation of autoionization dynamics and sub-cycle quantum beating in electronic molecular wave packets,” J. Phys. B: At. Mol. Opt. Phys. 49, 065102 (2016).
[Crossref]

J. Phys. Chem. A (1)

D. Hasegawa, K. Nakata, E. Tokunaga, K. Okamura, J. Du, and T. Kobayashi, “Vibrational energy flow between modes by dynamic mode coupling in THIATS J-aggregates,” J. Phys. Chem. A 117, 11441–11448 (2013).
[Crossref] [PubMed]

J. Phys. Chem. Lett. (1)

L. Bolzonello, A. Polo, A. Volpato, E. Meneghin, M. Cordaro, M. Trapani, M. Fortino, A. Pedone, M. Castriciano, and E. Collini, “Two-dimensional electronic spectroscopy reveals dynamics and mechanisms of dolvent-driven inertial relaxation in polar BODIPY dyes,” J. Phys. Chem. Lett. 9, 1079–1085 (2018).
[Crossref] [PubMed]

Nat. Commun. (1)

E. Meneghin, A. Volpato, L. Cupellini, L. Bolzonello, S. Jurinovich, V. Mascoli, D. Carbonera, B. Mennucci, and E. Collini, “Coherence in carotenoid-to-chlorophyll energy transfer,” Nat. Commun. 9, 3160 (2018).
[Crossref] [PubMed]

Opt. Express (2)

Phys. Chem. Chem. Phys. (3)

M. Cipolloni, B. Fresch, I. Occhiuto, P. Rukin, K. G. Komarova, A. Cecconello, I. Willner, R. D. Levine, F. Remacle, and E. Collini, “Coherent electronic and nuclear dynamics in a rhodamine heterodimer-DNA supramolecular complex,” Phys. Chem. Chem. Phys. 19, 23043–23051 (2017).
[Crossref] [PubMed]

V. I. Novoderezhkin, E. Romero, J. Prior, and R. Van Grondelle, “Exciton-vibrational resonance and dynamics of charge separation in the photosystem II reaction center,” Phys. Chem. Chem. Phys. 19, 5195–5208 (2017).
[Crossref] [PubMed]

S. Schott, L. Ress, J. Hrušák, P. Nuernberger, and T. Brixner, “Identification of photofragmentation patterns in trihalide anions by global analysis of vibrational wavepacket dynamics in broadband transient absorption data,” Phys. Chem. Chem. Phys. 18, 33287–33302 (2016).
[Crossref] [PubMed]

Phys. Rev. A (2)

M. J. J. Vrakking, D. M. Villeneuve, and A. Stolow, “Observation of fractional revivals of a molecular wave packet,” Phys. Rev. A 54, R37–R40 (1996).
[Crossref] [PubMed]

R. Pazourek, M. Reduzzi, P. A. Carpeggiani, G. Sansone, M. Gaarde, and K. Schafer, “Ionization delays in few-cycle-pulse multiphoton quantum-beat spectroscopy in helium,” Phys. Rev. A 93, 023420 (2016).
[Crossref]

Proc. IEEE (1)

A. Cohen and J. Kovacevic, “Wavelets: the mathematical background,” Proc. IEEE 84, 514–522 (1996).
[Crossref]

Reports on Prog. Phys. (1)

V. M. Axt and T. Kuhn, “Femtosecond spectroscopy in semiconductors: A key to coherences, correlations and quantum kinetics,” Reports on Prog. Phys. 67, 433–512 (2004).
[Crossref]

Sci. Reports (2)

E. Romero, J. Prior, A. W. Chin, S. E. Morgan, V. I. Novoderezhkin, M. B. Plenio, and R. van Grondelle, “Quantum-coherent dynamics in photosynthetic charge separation revealed by wavelet analysis,” Sci. Reports 7, 2890 (2017).
[Crossref]

E. Meneghin, C. Leonardo, A. Volpato, L. Bolzonello, and E. Collini, “Mechanistic insight into internal conversion process within Q-bands of chlorophyll a,” Sci. Reports 7, 11389 (2017).
[Crossref]

Science (1)

S. Beaulieu, A. Comby, A. Clergerie, J. Caillat, D. Descamps, N. Dudovich, B. Fabre, R. Géneaux, F. Légaré, S. Petit, B. Pons, G. Porat, T. Ruchon, R. Taïeb, V. Blanchet, and Y. Mairesse, “Attosecond-resolved photoionization of chiral molecules,” Science 358, 1288–1294 (2017).
[Crossref] [PubMed]

The J. Chem. Phys. (1)

I. H. M. van Stokkum, C. C. Jumper, J. J. Snellenburg, G. D. Scholes, R. van Grondelle, and P. Malý, “Estimation of damped oscillation associated spectra from ultrafast transient absorption spectra,” The J. Chem. Phys. 145, 174201 (2016).
[Crossref] [PubMed]

Other (5)

L. Cohen, Time-Frequency Analysis (Prentice-Hall, 1995).

S. Mukamel, Principles of Nonlinear Optical Spectroscopy (Oxford University, 1995).

H. Abramczyk, Introduction to Laser Spectroscopy (Elsevier Science, 2005).

F. Auger, P. Flandrin, P. Gonçalvès, and O. Lemoine, Time-Frequency Toolbox (available at http://tftb.nongnu.org , 2008).

D. Wu and J. M. Morris, “Time-frequency representations using a radial Butterworth kernel,” Int. Symp. on Time-Frequency Time-Scale Analysis pp. 60–63 (1994).

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1 (a) Real part of the signal defined by Eq. (4) and parameters in Table 2. (b) Power spectrum of the signal as defined in Eq. (2). Wiggles next to peaks are a consequence of the non-complete decay of coherent beatings in the considered time window, a feature typically encountered in experimental signals.
Fig. 2
Fig. 2 (a) Histogram of the norm of the residuals for all the TFTs, after the optimization step. (b) Results of the optimized TFTs considered in the comparison. The color-scale is tuned to highlight attenuated features close to zero to ease the recognition of residual interference artifacts.
Fig. 3
Fig. 3 (ab) Normalized WV and THEO distributions for a two components test signal. (cd) Normalized absolute narrow-band ambiguity function for the distributions reported in panels a and b. (e) Examples of optimized kernel functions superimposed to the ambiguity function of panel c. Dashed and solid lines represent respectively the 10 and 50 % contours of the kernel function.

Tables (3)

Tables Icon

Table 1 Linear and bilinear transforms considered in this work.

Tables Icon

Table 2 Parameters used in the definition of the synthetic signal considered in this work.

Tables Icon

Table 3 Optimized parameters obtained from the solution of the minimization problem in Eq. (10) applied to the specific signal defined in Eq. (4) and Table 2.

Equations (12)

Equations on this page are rendered with MathJax. Learn more.

S ( ν ) = FT [ s ( t ) ] = + d t s ( t ) e i 2 π ν t s ( t ) = IFT [ S ( ν ) ] = + d ν S ( ν ) e i 2 π ν t .
| S ( ν ) | 2 = + d t R ( t ) e i 2 π ν t R ( t ) = + d τ s ( t ) s * ( t τ ) = + d τ s ( t + τ 2 ) s * ( t τ 2 )
TFT ( t , ν ; F ) = + d τ + d t F ( t , τ ) s ( t + t τ 2 ) s * ( t + t τ 2 ) e i 2 π ν τ .
y ( t ) = n = 1 N y n ( t ) = n = 1 N A n e t τ n e i 2 π ν n t ,
+ d ν | Y n ( ν ) | 2 = + d t | y n ( t ) | 2 = A n 2 τ n 2 ,
| Y n ( ν ) | 2 = A n 2 1 4 π 2 ( ν ν n ) 2 + τ n 2 | y n ( t ) | 2 = A n 2 e 2 t τ n .
| s ( t ) | 2 = + d ν THEO ( t , ν ) | S ( ν ) | 2 = + d t THEO ( t , ν ) .
THEO ( t , ν ) = n = 1 N | Y n ( ν ) | 2 | y n ( t ) | 2 A n 2 τ n 2 = n = 1 N A n 2 2 τ n 1 4 π 2 ( ν ν n ) 2 + τ n 2 e 2 t τ n ,
+ d t THEO ( t , ν ) = | Y n ( ν ) | 2 + d ν THEO ( t , ν ) = | y n ( t ) | 2 + d t + d ν THEO ( t , ν ) = A n 2 τ n 2 ,
min p M THEO ( t , ν ) TFT ( t , ν ; p ) 2 ,
TFT ( t , ν ; p ) = p 1 SPWV ( t , ν ; p 2 , p 3 ) ,
AM ( η , τ ) = + d t s ( t + τ 2 ) s * ( t τ 2 ) e i 2 π η t = + d t + d τ WV ( t , ν ) e i 2 π ( ν τ η t )

Metrics