Statistical signatures of multimode single-photon-added and -subtracted states of light

Mattia Walschaers, Claude Fabre, Valentina Parigi, and Nicolas Treps
Phys. Rev. A 96, 053835 – Published 14 November 2017

Abstract

The addition or subtraction of a photon from a Gaussian state of light is a versatile and experimentally feasible procedure to create non-Gaussian states. In multimode setups, these states manifest a wide range of phenomena when the photon is added or subtracted in a mode-tunable way. In this paper we derive the truncated correlations, which are multimode generalizations of cumulants, between quadratures in different modes as statistical signatures of these states. These correlations are then used to obtain the full multimode Wigner function, the properties of which are subsequently studied. In particular we investigate the effect of impurity in the subtraction or addition process and evaluate its impact on the negativity of the Wigner function. Finally, we elaborate on the generation of inherent entanglement through subtraction or addition of a photon from a pure squeezed vacuum.

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  • Received 29 August 2017

DOI:https://doi.org/10.1103/PhysRevA.96.053835

©2017 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyAtomic, Molecular & OpticalStatistical Physics & Thermodynamics

Authors & Affiliations

Mattia Walschaers*, Claude Fabre, Valentina Parigi, and Nicolas Treps

  • Laboratoire Kastler Brossel, UPMC, Sorbonne Universités, CNRS, ENS PSL Research University, Collège de France, CNRS, 4 Place Jussieu, 75252 Paris, France

  • *mattia.walschaers@lkb.upmc.fr

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Issue

Vol. 96, Iss. 5 — November 2017

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