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Photon-number distribution of two-mode squeezed thermal states by entangled state representation
Authors:Hu Li-Yun  Wang Shuai  Zhang Zhi-Ming
Institution:a. College of Physics & Communication Electronics, Jiangxi Normal University, Nanchang 330022, China;b. Laboratory of Nanophotonic Functional Materials and Devices, SIPSE & LQIT,South China Normal University, Guangzhou 510006, China;c. Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China
Abstract:Using the entangled state representation, we convert a two-mode squeezed number state to a Hermite polynomial excited squeezed vacuum state. We first analytically derive the photon number distribution of the two-mode squeezed thermal states. It is found that it is a Jacobi polynomial; a remarkable result. This result can be directly applied to obtaining the photon number distribution of non-Gaussian states generated by subtracting from (adding to) two-mode squeezed thermal states.
Keywords:entangled state representation  Hermite polynomial excited state  squeezed thermal states  photon-number distribution
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