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Optical field-strength generalized polarization of multimode single photon states in integrated directional couplers
Authors:Jesús Liñares  David Barral  María C Nistal  Vicente Moreno
Affiliation:1. Optics Area, Department of Applied Physics, Faculty of Physics and EUOO (School of Optics and Optometry) , University of Santiago de Compostela , Campus Vida s/n (Campus Universitario Sur), E-15782 Santiago de Compostela, Galicia, Spain suso.linares.beiras@usc.es;3. Optics Area, Department of Applied Physics, Faculty of Physics and EUOO (School of Optics and Optometry) , University of Santiago de Compostela , Campus Vida s/n (Campus Universitario Sur), E-15782 Santiago de Compostela, Galicia, Spain
Abstract:A quantum analysis of the generalized polarization properties of multimode single photon states is presented. It is based on the optical field-strength probability distributions in such a way that generalized polarization is understood as a significant confinement of the probability distribution along certain regions of the multidimensional optical field-strength space. The analysis is addressed to multimode integrated waveguiding devices, such as N?×?N integrated directional couplers, whose modes fulfil a spatial modal orthogonality relationship. For that purpose a definition of the quantum generalized polarization degree in a N-dimensional space, based on the concept of distance to an unpolarized N-dimensional Gaussian distribution, is proposed. The generalized polarization degree of pure and mixture multimode single photon states and also of some multi-photon states such as coherent and chaotic ones, is evaluated and analyzed.
Keywords:integrated optics  quantum light  optical field states
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