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Noncommutative photon-added squeezed vacuum states

Department of Theoretical Physics and Astrophysics, Faculty of Physics, University of Tabriz, P. O. Box 51666-16471, Tabriz, Iran

E-mail Address: hfakhri@tabrizu.ac.ir

Corresponding author.

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M. Sayyah-Fard

Department of Theoretical Physics and Astrophysics, Faculty of Physics, University of Tabriz, P. O. Box 51666-16471, Tabriz, Iran

E-mail Address: msayyahfard@tabrizu.ac.ir

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https://doi.org/10.1142/S0217732320501679Cited by:7 (Source: Crossref)

Abstract

Noncommutative optical squeezed vacuum states are constructed as eigenstates of an appropriate two-photon annihilation operator corresponding to the Biedenharn–Macfarlane $q$ -oscillator. We consider in details the role of noncommutativity parameter $q$ on the nonclassical behaviors including quadrature squeezing and sub-Poissonian statistics. Also, we construct the noncommutative photon-added squeezed vacuum states and consider their Hillery-type higher-order squeezing and single-mode noise band.

Keywords:

PACS: 42.65.-k, 42.50.Dv

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