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Photon-Number Distribution and Wigner Function of Generalized Squeezed Thermal State
Authors:Jun Zhou  Jun Song  Hao Yuan  Bo Zhang  Chuan-Mei Xie  Hong-Yi Fan
Institution:1.Department of Material and Chemical Engineering,West Anhui University,Lu’an,China;2.Department of Material Science and Engineering,University of Science and Technology of China,Hefei,China;3.College of Physics & Materials Science,Anhui University,Hefei,China
Abstract:In this paper, we present the density operator of the generalized squeezed thermal state (GSTS) and obtain its normal ordering form by virtue of the technique of integration within an ordered product of operators and the Weyl ordering invariance under similarity transformations. Some significant quantum statistical properties of the GSTS are investigated, such as the photon-number distribution (PND) and the Wigner function (WF). It is found that the PND of the GSTS is a Legendre polynomial, and its squeezed vacuum oscillations imply the nonclassicality, as well as the GSTS whose WF has no negative region is indeed a special type of nonclassical state.
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