Abstract

Vector beams with spatially variant polarization have attracted much attention in recent years, with potential applications in both classical optics and quantum optics. In this work, we study a polarization selection of spatial intensity distribution by utilizing a hybridly polarized beam as a coupling beam and a circularly polarized beam as a probe beam in Rb87 atom vapor. We experimentally observe that the spatial intensity distribution of the probe beam after passing through atoms can be modulated by the hybridly polarized beam due to the optical pumping effect. Then, the information loaded in the probe beam can be designedly filtrated by an atomic system with a high extinction ratio. A detailed process of the optical pumping effect in our configurations and the corresponding absorption spectra are presented to interpret our experimental results, which can be used for the spatial optical information locally extracted based on an atomic system, which has potential applications in quantum communication and computation.

© 2018 Chinese Laser Press

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References

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2017 (3)

2016 (5)

S. M. Li, Z. C. Ren, L. J. Kong, S. X. Qian, C. H. Tu, Y. N. Li, and H. T. Wang, “Unveiling stability of multiple filamentation caused by axial symmetry breaking of polarization,” Photon. Res. 4, B29–B34 (2016).
[Crossref]

D. Naidoo, F. S. Roux, A. Dudley, I. Litvin, B. Piccirillo, L. Marrucci, and A. Forbes, “Controlled generation of higher-order Poincaré sphere beams from a laser,” Nat. Photonics 10, 327–332 (2016).
[Crossref]

P. Li, Y. Zhang, S. Liu, C. Ma, L. Han, H. Cheng, and J. Zhao, “Generation of perfect vectorial vortex beams,” Opt. Lett. 41, 2205–2208 (2016).
[Crossref]

F. Bouchard, H. Larocque, A. M. Yao, C. Travis, I. De Leon, A. Rubano, E. Karimi, G.-L. Oppo, and R. W. Boyd, “Polarization shaping for control of nonlinear propagation,” Phys. Rev. Lett. 117, 233903 (2016).
[Crossref]

L. Stern, A. Szapiro, E. Talker, and U. Levy, “Controlling the interactions of space-variant polarization beams with rubidium vapor using external magnetic fields,” Opt. Express 24, 4834–4841 (2016).
[Crossref]

2015 (6)

V. Parigi, V. D’Ambrosio, C. Arnold, L. Marrucci, F. Sciarrino, and J. Laurat, “Storage and retrieval of vector beams of light in a multiple-degree-of-freedom quantum memory,” Nat. Commun. 6, 7706 (2015).
[Crossref]

N. Radwell, T. W. Clark, B. Piccirillo, S. M. Barnett, and S. Franke-Arnold, “Spatially dependent electromagnetically induced transparency,” Phys. Rev. Lett. 114, 123603 (2015).
[Crossref]

Z. Chen, T. Zeng, B. Qian, and J. Ding, “Complete shaping of optical vector beams,” Opt. Express 23, 17701–17710 (2015).
[Crossref]

G. Milione, A. Dudley, T. A. Nguyen, K. Chakraborty, E. Karimi, A. Forbes, and R. R. Alfano, “Measuring the self-healing of the spatially inhomogeneous states of polarization of vector Bessel beams,” J. Opt. 17, 035617 (2015).
[Crossref]

J. A. Davis, N. Hashimoto, M. Kurihara, E. Hurtado, M. Pierce, M. M. Sánchez-López, K. Badham, and I. Moreno, “Analysis of a segmented q-plate tunable retarder for the generation of first-order vector beams,” Appl. Opt. 54, 9583–9590 (2015).
[Crossref]

G. Milione, T. A. Nguyen, J. Leach, D. A. Nolan, and R. R. Alfano, “Using the nonseparability of vector beams to encode information for optical communication,” Opt. Lett. 40, 4887–4890 (2015).
[Crossref]

2014 (4)

G. Vallone, V. D’Ambrosio, A. Sponselli, S. Slussarenko, L. Marrucci, F. Sciarrino, and P. Villoresi, “Free-space quantum key distribution by rotation-invariant twisted photons,” Phys. Rev. Lett. 113, 060503 (2014).
[Crossref]

M. Neugebauer, T. Bauer, P. Banzer, and G. Leuchs, “Polarization tailored light driven directional optical nanobeacon,” Nano Lett. 14, 2546–2551 (2014).
[Crossref]

Y. Liu, X. Ling, X. Yi, X. Zhou, H. Luo, and S. Wen, “Realization of polarization evolution on higher-order Poincaré sphere with metasurface,” Appl. Phys. Lett. 104, 191110 (2014).
[Crossref]

S. Chen, X. Zhou, Y. Liu, X. Ling, H. Luo, and S. Wen, “Generation of arbitrary cylindrical vector beams on the higher order Poincaré sphere,” Opt. Lett. 39, 5274–5276 (2014).
[Crossref]

2013 (1)

Z. Wu, Y. Zhang, C. Yuan, F. Wen, H. Zheng, and Y. Zhang, “Cubic-quintic condensate solitons in four-wave mixing,” Phys. Rev. A 88, 063828 (2013).
[Crossref]

2012 (2)

V. D’Ambrosio, E. Nagali, S. P. Walborn, L. Aolita, S. Slussarenko, L. Marrucci, and F. Sciarrino, “Complete experimental toolbox for alignment-free quantum communication,” Nat. Commun. 3, 961 (2012).
[Crossref]

G. Milione, S. Evans, D. A. Nolan, and R. R. Alfano, “Higher order Pancharatnam-Berry phase and the angular momentum of light,” Phys. Rev. Lett. 108, 190401 (2012).
[Crossref]

2011 (3)

F. K. Fatemi, “Cylindrical vector beams for rapid polarization-dependent measurements in atomic systems,” Opt. Express 19, 25143–25150 (2011).
[Crossref]

Y. Zhang, Z. Wang, Z. Nie, C. Li, H. Chen, K. Lu, and M. Xiao, “Four-wave mixing dipole soliton in laser-induced atomic gratings,” Phys. Rev. Lett. 106, 093904 (2011).
[Crossref]

G. Milione, H. I. Sztul, D. A. Nolan, and R. R. Alfano, “Higher-order Poincaré sphere, Stokes parameters, and the angular momentum of light,” Phys. Rev. Lett. 107, 053601 (2011).
[Crossref]

2010 (5)

G. M. Lerman, L. Stern, and U. Levy, “Generation and tight focusing of hybridly polarized vector beams,” Opt. Express 18, 27650–27657 (2010).
[Crossref]

Y. Kozawa and S. Sato, “Optical trapping of micrometer-sized dielectric particles by cylindrical vector beams,” Opt. Express 18, 10828–10833 (2010).
[Crossref]

X. L. Wang, J. Chen, Y. Li, J. Ding, C. S. Guo, and H. T. Wang, “Optical orbital angular momentum from the curl of polarization,” Phys. Rev. Lett. 105, 253602 (2010).
[Crossref]

B. Roxworthy and K. Toussaint, “Optical trapping with π-phase cylindrical vector beams,” New J. Phys. 12, 073012 (2010).
[Crossref]

J. T. Barreiro, T. C. Wei, and P. G. Kwiat, “Remote preparation of single-photon “hybrid” entangled and vector-polarization states,” Phys. Rev. Lett. 105, 030407 (2010).
[Crossref]

2009 (4)

Q. Zhan, “Cylindrical vector beams: from mathematical concepts to applications,” Adv. Opt. Photon. 1, 1–57 (2009).
[Crossref]

S. Ramachandran, P. Kristensen, and M. F. Yan, “Generation and propagation of radially polarized beams in optical fibers,” Opt. Lett. 34, 2525–2527 (2009).
[Crossref]

D. C. Heinecke, A. Bartels, T. M. Fortier, D. A. Braje, L. Hollberg, and S. A. Diddams, “Optical frequency stabilization of a 10  GHz Ti:sapphire frequency comb by saturated absorption spectroscopy in 87rubidium,” Phys. Rev. A 80, 053806 (2009).
[Crossref]

Y. Du, Y. Zhang, C. Zuo, C. Li, Z. Nie, H. Zheng, M. Shi, R. Wang, J. Song, K. Lu, and M. Xiao, “Controlling four-wave mixing and six-wave mixing in a multi-Zeeman-sublevel atomic system with electromagnetically induced transparency,” Phys. Rev. A 79, 063839 (2009).
[Crossref]

2008 (3)

G. Moon and H. R. Noh, “Analytic calculation of linear susceptibility in velocity-dependent pump-probe spectroscopy,” Phys. Rev. A 78, 032506 (2008).
[Crossref]

G. Moon, H.-S. Noh, and H.-R. Noh, “Effect of laser beam diameter variation in saturated absorption spectra,” J. Phys. Soc. Jpn. 77, 074301 (2008).
[Crossref]

G. Moon and H. R. Noh, “Analytic solutions for the saturated absorption spectra,” J. Opt. Soc. Am. B 25, 701–711 (2008).
[Crossref]

2007 (3)

B. Schaefer, E. Collett, R. Smyth, D. Barrett, and B. Fraher, “Measuring the stokes polarization parameters,” Am. J. Phys. 75, 163–168 (2007).
[Crossref]

G. Machavariani, Y. Lumer, I. Moshe, A. Meir, and S. Jacket, “Efficient extracavity generation of radially and azimuthally polarized beams,” Opt. Lett. 32, 1468–1470 (2007).
[Crossref]

C. Maurer, A. Jesacher, S. Fürhapter, S. Bernet, and M. Ritsch-Marte, “Tailoring of arbitrary optical vector beams,” New J. Phys. 9, 78 (2007).
[Crossref]

2006 (2)

D. P. Biss, K. S. Youngworth, and T. G. Brown, “Dark-field imaging with cylindrical-vector beams,” Appl. Opt. 45, 470–479 (2006).
[Crossref]

L. Marrucci, C. Manzo, and D. Paparo, “Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media,” Phys. Rev. Lett. 96, 163905 (2006).
[Crossref]

2005 (1)

2003 (2)

R. Dorn, S. Quabis, and G. Leuchs, “Sharper focus for a radially polarized light beam,” Phys. Rev. Lett. 91, 233901 (2003).
[Crossref]

A. Banerjee and V. Natarajan, “Saturated-absorption spectroscopy: eliminating crossover resonances by use of copropagating beams,” Opt. Lett. 28, 1912–1914 (2003).
[Crossref]

2002 (1)

T. Grosjean, D. Courjon, and M. Spajer, “An all-fiber device for generating radially and other polarized light beams,” Opt. Commun. 203, 1–5 (2002).
[Crossref]

2000 (1)

R. Oron, S. Blit, N. Davidson, A. A. Friesem, Z. Bomzon, and E. Hasman, “The formation of laser beams with pure azimuthal and radial polarization,” Appl. Phys. Lett. 77, 3322–3324 (2000).
[Crossref]

1997 (1)

S. Nakayama, “Optical pumping effects in high resolution laser spectroscopy,” Phys. Scripta T70, 64–74 (1997).
[Crossref]

1994 (1)

1980 (1)

P. G. Pappas, M. M. Burns, D. D. Hinshelood, and M. S. Feld, “Saturation spectroscopy with laser optical pumping in atomic barium,” Phys. Rev. A 21, 1955–1968 (1980).
[Crossref]

Alfano, R. R.

G. Milione, T. A. Nguyen, J. Leach, D. A. Nolan, and R. R. Alfano, “Using the nonseparability of vector beams to encode information for optical communication,” Opt. Lett. 40, 4887–4890 (2015).
[Crossref]

G. Milione, A. Dudley, T. A. Nguyen, K. Chakraborty, E. Karimi, A. Forbes, and R. R. Alfano, “Measuring the self-healing of the spatially inhomogeneous states of polarization of vector Bessel beams,” J. Opt. 17, 035617 (2015).
[Crossref]

G. Milione, S. Evans, D. A. Nolan, and R. R. Alfano, “Higher order Pancharatnam-Berry phase and the angular momentum of light,” Phys. Rev. Lett. 108, 190401 (2012).
[Crossref]

G. Milione, H. I. Sztul, D. A. Nolan, and R. R. Alfano, “Higher-order Poincaré sphere, Stokes parameters, and the angular momentum of light,” Phys. Rev. Lett. 107, 053601 (2011).
[Crossref]

Aolita, L.

V. D’Ambrosio, E. Nagali, S. P. Walborn, L. Aolita, S. Slussarenko, L. Marrucci, and F. Sciarrino, “Complete experimental toolbox for alignment-free quantum communication,” Nat. Commun. 3, 961 (2012).
[Crossref]

Arnold, C.

V. Parigi, V. D’Ambrosio, C. Arnold, L. Marrucci, F. Sciarrino, and J. Laurat, “Storage and retrieval of vector beams of light in a multiple-degree-of-freedom quantum memory,” Nat. Commun. 6, 7706 (2015).
[Crossref]

Badham, K.

Banerjee, A.

Banzer, P.

M. Neugebauer, T. Bauer, P. Banzer, and G. Leuchs, “Polarization tailored light driven directional optical nanobeacon,” Nano Lett. 14, 2546–2551 (2014).
[Crossref]

Barnett, S. M.

N. Radwell, T. W. Clark, B. Piccirillo, S. M. Barnett, and S. Franke-Arnold, “Spatially dependent electromagnetically induced transparency,” Phys. Rev. Lett. 114, 123603 (2015).
[Crossref]

Barreiro, J. T.

J. T. Barreiro, T. C. Wei, and P. G. Kwiat, “Remote preparation of single-photon “hybrid” entangled and vector-polarization states,” Phys. Rev. Lett. 105, 030407 (2010).
[Crossref]

Barrett, D.

B. Schaefer, E. Collett, R. Smyth, D. Barrett, and B. Fraher, “Measuring the stokes polarization parameters,” Am. J. Phys. 75, 163–168 (2007).
[Crossref]

Bartels, A.

D. C. Heinecke, A. Bartels, T. M. Fortier, D. A. Braje, L. Hollberg, and S. A. Diddams, “Optical frequency stabilization of a 10  GHz Ti:sapphire frequency comb by saturated absorption spectroscopy in 87rubidium,” Phys. Rev. A 80, 053806 (2009).
[Crossref]

Bauer, T.

M. Neugebauer, T. Bauer, P. Banzer, and G. Leuchs, “Polarization tailored light driven directional optical nanobeacon,” Nano Lett. 14, 2546–2551 (2014).
[Crossref]

Bernet, S.

C. Maurer, A. Jesacher, S. Fürhapter, S. Bernet, and M. Ritsch-Marte, “Tailoring of arbitrary optical vector beams,” New J. Phys. 9, 78 (2007).
[Crossref]

Biss, D. P.

Blit, S.

R. Oron, S. Blit, N. Davidson, A. A. Friesem, Z. Bomzon, and E. Hasman, “The formation of laser beams with pure azimuthal and radial polarization,” Appl. Phys. Lett. 77, 3322–3324 (2000).
[Crossref]

Bomzon, Z.

R. Oron, S. Blit, N. Davidson, A. A. Friesem, Z. Bomzon, and E. Hasman, “The formation of laser beams with pure azimuthal and radial polarization,” Appl. Phys. Lett. 77, 3322–3324 (2000).
[Crossref]

Bouchard, F.

F. Bouchard, H. Larocque, A. M. Yao, C. Travis, I. De Leon, A. Rubano, E. Karimi, G.-L. Oppo, and R. W. Boyd, “Polarization shaping for control of nonlinear propagation,” Phys. Rev. Lett. 117, 233903 (2016).
[Crossref]

Boyd, R. W.

F. Bouchard, H. Larocque, A. M. Yao, C. Travis, I. De Leon, A. Rubano, E. Karimi, G.-L. Oppo, and R. W. Boyd, “Polarization shaping for control of nonlinear propagation,” Phys. Rev. Lett. 117, 233903 (2016).
[Crossref]

Braje, D. A.

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Y. Zhang, Z. Wang, Z. Nie, C. Li, H. Chen, K. Lu, and M. Xiao, “Four-wave mixing dipole soliton in laser-induced atomic gratings,” Phys. Rev. Lett. 106, 093904 (2011).
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G. Milione, T. A. Nguyen, J. Leach, D. A. Nolan, and R. R. Alfano, “Using the nonseparability of vector beams to encode information for optical communication,” Opt. Lett. 40, 4887–4890 (2015).
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V. Parigi, V. D’Ambrosio, C. Arnold, L. Marrucci, F. Sciarrino, and J. Laurat, “Storage and retrieval of vector beams of light in a multiple-degree-of-freedom quantum memory,” Nat. Commun. 6, 7706 (2015).
[Crossref]

G. Vallone, V. D’Ambrosio, A. Sponselli, S. Slussarenko, L. Marrucci, F. Sciarrino, and P. Villoresi, “Free-space quantum key distribution by rotation-invariant twisted photons,” Phys. Rev. Lett. 113, 060503 (2014).
[Crossref]

V. D’Ambrosio, E. Nagali, S. P. Walborn, L. Aolita, S. Slussarenko, L. Marrucci, and F. Sciarrino, “Complete experimental toolbox for alignment-free quantum communication,” Nat. Commun. 3, 961 (2012).
[Crossref]

Shi, M.

Y. Du, Y. Zhang, C. Zuo, C. Li, Z. Nie, H. Zheng, M. Shi, R. Wang, J. Song, K. Lu, and M. Xiao, “Controlling four-wave mixing and six-wave mixing in a multi-Zeeman-sublevel atomic system with electromagnetically induced transparency,” Phys. Rev. A 79, 063839 (2009).
[Crossref]

Slussarenko, S.

G. Vallone, V. D’Ambrosio, A. Sponselli, S. Slussarenko, L. Marrucci, F. Sciarrino, and P. Villoresi, “Free-space quantum key distribution by rotation-invariant twisted photons,” Phys. Rev. Lett. 113, 060503 (2014).
[Crossref]

V. D’Ambrosio, E. Nagali, S. P. Walborn, L. Aolita, S. Slussarenko, L. Marrucci, and F. Sciarrino, “Complete experimental toolbox for alignment-free quantum communication,” Nat. Commun. 3, 961 (2012).
[Crossref]

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[Crossref]

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Y. Du, Y. Zhang, C. Zuo, C. Li, Z. Nie, H. Zheng, M. Shi, R. Wang, J. Song, K. Lu, and M. Xiao, “Controlling four-wave mixing and six-wave mixing in a multi-Zeeman-sublevel atomic system with electromagnetically induced transparency,” Phys. Rev. A 79, 063839 (2009).
[Crossref]

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T. Grosjean, D. Courjon, and M. Spajer, “An all-fiber device for generating radially and other polarized light beams,” Opt. Commun. 203, 1–5 (2002).
[Crossref]

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G. Vallone, V. D’Ambrosio, A. Sponselli, S. Slussarenko, L. Marrucci, F. Sciarrino, and P. Villoresi, “Free-space quantum key distribution by rotation-invariant twisted photons,” Phys. Rev. Lett. 113, 060503 (2014).
[Crossref]

Stern, L.

Szapiro, A.

Sztul, H. I.

G. Milione, H. I. Sztul, D. A. Nolan, and R. R. Alfano, “Higher-order Poincaré sphere, Stokes parameters, and the angular momentum of light,” Phys. Rev. Lett. 107, 053601 (2011).
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B. Roxworthy and K. Toussaint, “Optical trapping with π-phase cylindrical vector beams,” New J. Phys. 12, 073012 (2010).
[Crossref]

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F. Bouchard, H. Larocque, A. M. Yao, C. Travis, I. De Leon, A. Rubano, E. Karimi, G.-L. Oppo, and R. W. Boyd, “Polarization shaping for control of nonlinear propagation,” Phys. Rev. Lett. 117, 233903 (2016).
[Crossref]

Tsvetkov, S.

Tu, C. G.

Tu, C. H.

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G. Vallone, V. D’Ambrosio, A. Sponselli, S. Slussarenko, L. Marrucci, F. Sciarrino, and P. Villoresi, “Free-space quantum key distribution by rotation-invariant twisted photons,” Phys. Rev. Lett. 113, 060503 (2014).
[Crossref]

Villoresi, P.

G. Vallone, V. D’Ambrosio, A. Sponselli, S. Slussarenko, L. Marrucci, F. Sciarrino, and P. Villoresi, “Free-space quantum key distribution by rotation-invariant twisted photons,” Phys. Rev. Lett. 113, 060503 (2014).
[Crossref]

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V. D’Ambrosio, E. Nagali, S. P. Walborn, L. Aolita, S. Slussarenko, L. Marrucci, and F. Sciarrino, “Complete experimental toolbox for alignment-free quantum communication,” Nat. Commun. 3, 961 (2012).
[Crossref]

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Wang, R.

Y. Du, Y. Zhang, C. Zuo, C. Li, Z. Nie, H. Zheng, M. Shi, R. Wang, J. Song, K. Lu, and M. Xiao, “Controlling four-wave mixing and six-wave mixing in a multi-Zeeman-sublevel atomic system with electromagnetically induced transparency,” Phys. Rev. A 79, 063839 (2009).
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Y. Liu, X. Ling, X. Yi, X. Zhou, H. Luo, and S. Wen, “Realization of polarization evolution on higher-order Poincaré sphere with metasurface,” Appl. Phys. Lett. 104, 191110 (2014).
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S. Chen, X. Zhou, Y. Liu, X. Ling, H. Luo, and S. Wen, “Generation of arbitrary cylindrical vector beams on the higher order Poincaré sphere,” Opt. Lett. 39, 5274–5276 (2014).
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Z. Wu, Y. Zhang, C. Yuan, F. Wen, H. Zheng, and Y. Zhang, “Cubic-quintic condensate solitons in four-wave mixing,” Phys. Rev. A 88, 063828 (2013).
[Crossref]

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C. Li, Z. Jiang, Y. Zhang, Z. Zhang, F. Wen, H. Chen, Y. Zhang, and M. Xiao, “Controlled correlation and squeezing in Pr3+Y2SiO5 to yield correlated light beams,” Phys. Rev. Appl. 7, 014023 (2017).
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[Crossref]

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[Crossref]

Yan, M. F.

Yao, A. M.

F. Bouchard, H. Larocque, A. M. Yao, C. Travis, I. De Leon, A. Rubano, E. Karimi, G.-L. Oppo, and R. W. Boyd, “Polarization shaping for control of nonlinear propagation,” Phys. Rev. Lett. 117, 233903 (2016).
[Crossref]

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Z. Wu, Y. Zhang, C. Yuan, F. Wen, H. Zheng, and Y. Zhang, “Cubic-quintic condensate solitons in four-wave mixing,” Phys. Rev. A 88, 063828 (2013).
[Crossref]

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Zhan, Q.

Zhang, G. L.

Zhang, Y.

C. Li, Z. Jiang, Y. Zhang, Z. Zhang, F. Wen, H. Chen, Y. Zhang, and M. Xiao, “Controlled correlation and squeezing in Pr3+Y2SiO5 to yield correlated light beams,” Phys. Rev. Appl. 7, 014023 (2017).
[Crossref]

C. Li, Z. Jiang, Y. Zhang, Z. Zhang, F. Wen, H. Chen, Y. Zhang, and M. Xiao, “Controlled correlation and squeezing in Pr3+Y2SiO5 to yield correlated light beams,” Phys. Rev. Appl. 7, 014023 (2017).
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Z. Wu, Y. Zhang, C. Yuan, F. Wen, H. Zheng, and Y. Zhang, “Cubic-quintic condensate solitons in four-wave mixing,” Phys. Rev. A 88, 063828 (2013).
[Crossref]

Z. Wu, Y. Zhang, C. Yuan, F. Wen, H. Zheng, and Y. Zhang, “Cubic-quintic condensate solitons in four-wave mixing,” Phys. Rev. A 88, 063828 (2013).
[Crossref]

Y. Zhang, Z. Wang, Z. Nie, C. Li, H. Chen, K. Lu, and M. Xiao, “Four-wave mixing dipole soliton in laser-induced atomic gratings,” Phys. Rev. Lett. 106, 093904 (2011).
[Crossref]

Y. Du, Y. Zhang, C. Zuo, C. Li, Z. Nie, H. Zheng, M. Shi, R. Wang, J. Song, K. Lu, and M. Xiao, “Controlling four-wave mixing and six-wave mixing in a multi-Zeeman-sublevel atomic system with electromagnetically induced transparency,” Phys. Rev. A 79, 063839 (2009).
[Crossref]

Zhang, Z.

C. Li, Z. Jiang, Y. Zhang, Z. Zhang, F. Wen, H. Chen, Y. Zhang, and M. Xiao, “Controlled correlation and squeezing in Pr3+Y2SiO5 to yield correlated light beams,” Phys. Rev. Appl. 7, 014023 (2017).
[Crossref]

Zhao, J.

Zhao, M. D.

Zheng, H.

Z. Wu, Y. Zhang, C. Yuan, F. Wen, H. Zheng, and Y. Zhang, “Cubic-quintic condensate solitons in four-wave mixing,” Phys. Rev. A 88, 063828 (2013).
[Crossref]

Y. Du, Y. Zhang, C. Zuo, C. Li, Z. Nie, H. Zheng, M. Shi, R. Wang, J. Song, K. Lu, and M. Xiao, “Controlling four-wave mixing and six-wave mixing in a multi-Zeeman-sublevel atomic system with electromagnetically induced transparency,” Phys. Rev. A 79, 063839 (2009).
[Crossref]

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S. Chen, X. Zhou, Y. Liu, X. Ling, H. Luo, and S. Wen, “Generation of arbitrary cylindrical vector beams on the higher order Poincaré sphere,” Opt. Lett. 39, 5274–5276 (2014).
[Crossref]

Y. Liu, X. Ling, X. Yi, X. Zhou, H. Luo, and S. Wen, “Realization of polarization evolution on higher-order Poincaré sphere with metasurface,” Appl. Phys. Lett. 104, 191110 (2014).
[Crossref]

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Y. Du, Y. Zhang, C. Zuo, C. Li, Z. Nie, H. Zheng, M. Shi, R. Wang, J. Song, K. Lu, and M. Xiao, “Controlling four-wave mixing and six-wave mixing in a multi-Zeeman-sublevel atomic system with electromagnetically induced transparency,” Phys. Rev. A 79, 063839 (2009).
[Crossref]

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V. Parigi, V. D’Ambrosio, C. Arnold, L. Marrucci, F. Sciarrino, and J. Laurat, “Storage and retrieval of vector beams of light in a multiple-degree-of-freedom quantum memory,” Nat. Commun. 6, 7706 (2015).
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Figures (5)

Fig. 1.
Fig. 1. Experimental setup. QWP, quarter-wave plate; HWP, half-wave plate; M, mirror; PBS, polarization beam splitter; BS, beam splitter; SMF, single mode fiber; PD, photodetector; SLM, spatial light modulator; CCD, charge-coupled device camera. (a) Diagram of polarization selection experiment. (b) Diagram of Stokes parameters measurement.
Fig. 2.
Fig. 2. Experimental results of Stokes parameters measurement. Top to bottom row: circularly polarized beam, radially polarized beam, and hybridly polarized beam, respectively. Arrowed lines inside the first column figures indicate the polarization states.
Fig. 3.
Fig. 3. Experimental results of polarization selection transparency. (a)–(d) Two-lobe pattern exits at the position where the polarization of the coupling beam is orthogonal to the probe beam. (e)–(h) Spatial information after filtrating. The fast axis rotation angles of QWP1 are 0°, 45°, 90°, and 135°, with respect to the horizontal direction. Yellow dashed line in figure corresponds with the fast axis direction of QWP1. (i) Diagram for selecting azimuthal angle. (j) Normalized intensity of azimuthal distribution.
Fig. 4.
Fig. 4. (a) Hyperfine-energy level diagram of the D2 line of Rb87 atoms. Degenerate energy level diagram for Fg=1 to Fe=0 and Fe=1 in D2 line of Rb87 atoms on the right side. Red: coupling beam; green: probe beam. (b) σ for probe and σ for coupling. (c) σ for probe and σ+ for coupling. (d) σ+ for probe and σ for coupling. (e) σ+ for probe and σ+ for coupling.
Fig. 5.
Fig. 5. Experimental setup and results of spectrum measurement. (a) Diagram of experiment. (b) Polarization state of probe beam is σ. (c) Polarization state of probe beam is σ+. Different color curves represent the different coupling beam polarization states. Red (curve): 45° (the fast axis rotation angle of QWP1 corresponding to the horizontal direction); orange: 30°; green: 15°; light cyan: 0°; violet: +15°; blue: +30°; dark yellow: +45°. (d), (e) Intensity variations corresponding to the laser locked in the X01 against rotation angle in (b) and (c), respectively.

Equations (4)

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

S0=I(0°,0°)+I(90°,45°),
S1=I(0°,0°)I(90°,45°),
S2=I(45°,22.5°)I(135°,67.5°),
S3=I(45°,0°)I(45°,0°),

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