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

Robert Keil, Armando Perez-Leija, Felix Dreisow, Matthias Heinrich, Hector Moya-Cessa, Stefan Nolte, Demetrios N. Christodoulides, and Alexander Szameit
Phys. Rev. Lett. 107, 103601 – Published 31 August 2011

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.

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  • Received 9 March 2011

DOI:https://doi.org/10.1103/PhysRevLett.107.103601

© 2011 American Physical Society

Authors & Affiliations

Robert Keil1,*, Armando Perez-Leija2,3, Felix Dreisow1, Matthias Heinrich1, Hector Moya-Cessa3, Stefan Nolte1, Demetrios N. Christodoulides2, and Alexander Szameit1

  • 1Institute of Applied Physics, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany
  • 2CREOL/College of Optics, University of Central Florida, Orlando, Florida, USA
  • 3INAOE, Coordinacion de Optica, A.P. 51 y 216, 72000 Puebla, Mexico

  • *robert.keil@uni-jena.de

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Vol. 107, Iss. 10 — 2 September 2011

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