Wave function for the squeezed atomic coherent state in entangledstate representation and some of its applications

doi:10.1088/1674-1056/19/1/014207

中国物理B ›› 2010, Vol. 19 ›› Issue (1): 14207-014207.doi: 10.1088/1674-1056/19/1/014207

Wave function for the squeezed atomic coherent state in entangledstate representation and some of its applications

王继锁¹, 孟祥国², 梁宝龙²

(1)College of Physics and Engineering, Qufu Normal University, Qufu 273165, China;Department of Physics, Liaocheng University, Liaocheng 252059, China; (2)Department of Physics, Liaocheng University, Liaocheng 252059, China

收稿日期:2009-04-06 修回日期:2009-05-08 出版日期:2010-01-15 发布日期:2010-01-15
基金资助:
Project supported by the Natural Science Foundation of Shandong Province, China (Grant No. Y2008A23).

Wave function for the squeezed atomic coherent state in entangled state representation and some of its applications

Wang Ji-Suo(王继锁)^a)b)†, Meng Xiang-Guo(孟祥国)^b), and Liang Bao-Long(梁宝龙)^b)

^a College of Physics and Engineering, Qufu Normal University, Qufu 273165, China; ^b Department of Physics, Liaocheng University, Liaocheng 252059, China

Received:2009-04-06 Revised:2009-05-08 Online:2010-01-15 Published:2010-01-15
Supported by:
Project supported by the Natural Science Foundation of Shandong Province, China (Grant No. Y2008A23).

摘要/Abstract

摘要： Based on the Einstein, Podolsky, and Rosen (EPR) entangled state representation, this paper introduces the wave function for the squeezed atomic coherent state (SACS), which turns out to be just proportional to a single-variable ordinary Hermite polynomial of order 2j. As important applications of the wave function, the Wigner function of the SACS and its marginal distribution are obtained and the eigenproblems of some Hamiltonians for the generalized angular momentum system are solved.

Abstract: Based on the Einstein, Podolsky, and Rosen (EPR) entangled state representation, this paper introduces the wave function for the squeezed atomic coherent state (SACS), which turns out to be just proportional to a single-variable ordinary Hermite polynomial of order 2j. As important applications of the wave function, the Wigner function of the SACS and its marginal distribution are obtained and the eigenproblems of some Hamiltonians for the generalized angular momentum system are solved.

Key words: squeezed atomic coherent state, entangled state representation, Wigner function, eigenvalue and eigenstate

中图分类号: (Quantum state engineering and measurements)

42.50.Dv

02.10.Ud (Linear algebra) 03.65.Fd (Algebraic methods) 03.65.Ud (Entanglement and quantum nonlocality)

王继锁, 孟祥国, 梁宝龙. Wave function for the squeezed atomic coherent state in entangledstate representation and some of its applications[J]. 中国物理B, 2010, 19(1): 14207-014207.

Wang Ji-Suo(王继锁), Meng Xiang-Guo(孟祥国), and Liang Bao-Long(梁宝龙). Wave function for the squeezed atomic coherent state in entangled state representation and some of its applications[J]. Chin. Phys. B, 2010, 19(1): 14207-014207.

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Wave function for the squeezed atomic coherent state in entangledstate representation and some of its applications

Wave function for the squeezed atomic coherent state in entangled state representation and some of its applications

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