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International Journal of Theoretical Physics

Time Evolution of Husimi Function for Photon-Added Squeezed Vacuum State in Dissipative Channel

Xue-xiang Xu

Published Jun 22, 2010• 2 citations
Publisher
DOI
10.1007/s10773-010-0407-1

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This paper investigates the decoherence of photo-subtracted squeezed vacuum state (PSSVS) in dissipative channel by describing its statistical properties with time evolution such as Wigner function, Husimi function, and tomogram. It first calculates the normalization factor of PSSVS related to Legendre polynomial. After deriving the normally ordered density operator of PSSVS in dissipative channel, one obtains the explicit analytical expressions of time evolution of PSSVS's statistical distribution function. It finds that these statistical distributions loss their non-Gaussian nature and become Gaussian at last in the dissipative environment as expected.