Abstract
Discrete light propagation in lattices of evanescently coupled waveguides represents a very elegant and noise-insensitive realisation of continuous-time single-particle quantum random walks [1,2]. On the other hand, two or more indistinguishable walkers exhibit nonclassical correlations, and therefore increase the graph size substantially. Such walks have been proposed and realised for product states of two photons, where each photon is sent into one waveguide in a one-dimensional (1D) lattice [3,4]. Clearly, in a 1D lattice the quantum walker is restricted to only two transverse directions of motion, whereas light propagation in two-dimensional (2D) lattices can lead to a greater number of separate output locations, and thereby extend the graph even further [5]. Moreover, if also path-entangled biphoton input states are considered, a rich variety of photon correlations can be expected, showing bosonic as well as fermionic behaviour [3,6]. Therefore, it is of great interest to investigate the evolution of biphoton states in general 2D lattices.
© 2011 IEEE
PDF ArticleMore Like This
Y. Bromberg, Y. Lahini, R. Morandotti, and Y. Silberberg
FMA4 Frontiers in Optics (FiO) 2008
Robert Keil, Felix Dreisow, Matthias Heinrich, Andreas Tünnermann, Stefan Nolte, and Alexander Szameit
FTuT4 Frontiers in Optics (FiO) 2010
D. N. Biggerstaff, J. O. Owens, M. A. Broome, A. Fedrizzi, M. E. Goggin, T. Linjordet, M. Ams, G. D. Marshall, J. Twalmley, M. J. Withford, and A. G. White
I928 International Quantum Electronics Conference (IQEC) 2011