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Properties of the spatial Wigner function of entangled photon pairs

Source: Phys. Rev. A 80, 043804 (2009); doi:10.1103/PhysRevA.80.043804

Published 5 October 2009

KEYWORDS and PACS
Keywords
PACS
  • 42.50.Dv
    Quantum state engineering and measurements (quantum optics)
  • YEAR: 2009
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Noelia Gonzalez,1 Gabriel Molina-Terriza,1,2 and Juan P. Torres1,3
1ICFO-Institut de Ciencies Fotoniques, Mediterranean Technology Park, Castelldefels, 08860 Barcelona, Spain
2ICREA-Institució Catalana de Recerca i Estudis Avançats, 08010 Barcelona, Spain
3Departament of Signal Theory and Communications, Universitat Politecnica de Catalunya, 08034 Barcelona, Spain
In this paper we analyze some important characteristics of the spatial Wigner function of entangled photon pairs. We show that the Wigner description of quantum states that live in the infinite-dimensional space-momentum degree of freedom proves to be particularly useful. We propose an experimental configuration that can be used to retrieve the Wigner function of paired photons entangled in the spatial degree of freedom. In particular, it allows the full characterization of the paired photons emitted from a spontaneous parametric down-conversion source. ©2009 The American Physical Society
History: Received 18 May 2009; published 5 October 2009
Permalink: http://link.aps.org/abstract/PRA/v80/e043804

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