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NONCLASSICALITY AND DECOHERENCE OF PHOTON-ADDED THERMAL STATE

SHU-JING WANG

College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China

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XUE-XIANG XU

College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China

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, and

SHAN-JUN MA

College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China

Corresponding author.

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https://doi.org/10.1142/S0219749910006162Cited by:1 (Source: Crossref)

Abstract

Using the normally ordered form of thermal state characteristic of average photon number n_c, we introduce the photon-added thermal state (PATS) and investigate its statistical properties, such as Mandel's Q-parameter, photon number distribution (PND), and Wigner function (WF). We then study its decoherence in a thermal environment with average thermal photon number and dissipative coefficient κ by deriving analytical expressions of the WF. The nonclassicality is discussed in terms of the negativity of the WF. It is found that the WF is always positive when for any number PATS. The expression for time evolution of the PND and the tomogram of PATS are also derived analytically, which are related to hypergeometric function and single variable Hermite polynomials.

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