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Entanglement Involved in Pair Coherent State Studied via Wigner Function Formalism
Authors:HU Li-Yun  FAN Hong-Yi
Institution:1.College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China ;2.Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China
Abstract:We calculate Wigner function, tomogram of the pair coherent state byusing its Schmidt decomposition in the coherent state representation. It turns out that the Wigner function can be seen as the quantum entanglement (QE) between two two-variable Hermite polynomials (TVHP) and the tomogram is further simplified as QE of two single-variable Hermite polynomials. The Husimi function of pair coherent state is also calculated.
Keywords:pair coherent state  Wigner function  Tomogram  Husimi function  
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