Classical Analogue of Displaced Fock States and Quantum Correlations in Glauber-Fock Photonic Lattices

    Authors

    R. Keil; A. Perez-Leija; F. Dreisow; M. Heinrich; H. Moya-Cessa; S. Nolte; D. N. Christodoulides;A. Szameit

    Comments

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    Abbreviated Journal Title

    Phys. Rev. Lett.

    Keywords

    WIGNER FUNCTION; Physics, Multidisciplinary

    Abstract

    Coherent states and their generalizations, displaced Fock states, are of fundamental importance to quantum optics. Here we present a direct observation of a classical analogue for the emergence of these states from the eigenstates of the harmonic oscillator. To this end, the light propagation in a Glauber-Fock waveguide lattice serves as equivalent for the displacement of Fock states in phase space. Theoretical calculations and analogue classical experiments show that the square-root distribution of the coupling parameter in such lattices supports a new family of intriguing quantum correlations not encountered in uniform arrays. Because of the broken shift invariance of the lattice, these correlations strongly depend on the transverse position. Consequently, quantum random walks with this extra degree of freedom may be realized in Glauber-Fock lattices.

    Journal Title

    Physical Review Letters

    Volume

    107

    Issue/Number

    10

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    5

    WOS Identifier

    WOS:000301051200005

    ISSN

    0031-9007

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