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Schwinger Bose实现下自旋相干态Wigner函数的特性分析
引用本文:宋军,范洪义. Schwinger Bose实现下自旋相干态Wigner函数的特性分析[J]. 海洋学报, 2010, 32(10): 6806-6813
作者姓名:宋军  范洪义
作者单位:中国科学技术大学材料科学与工程系,合肥 230026;中国科学技术大学材料科学与工程系,合肥 230026; 皖西学院数理系,六安 237012
基金项目:国家自然科学基金(批准号:10874174)资助的课题.
摘    要:在Schwinger Bose实现下,引入纠缠态表象及Wigner算符在该表象下的表示,得到自旋相干态的Wigner函数,数值计算画出相空间中Wigner函数的分布图,并加以分析,发现在Schwinger Bose实现下自旋相干态确实体现出纠缠特性.

关 键 词:自旋相干态  Schwinger Bose实现  Wigner函数  纠缠态表象

Properties of Wigner function of spin coherent states based on Schwinger Bose operator realization
Song Jun and Fan Hong-Yi. Properties of Wigner function of spin coherent states based on Schwinger Bose operator realization[J]. Acta Oceanologica Sinica (in Chinese), 2010, 32(10): 6806-6813
Authors:Song Jun and Fan Hong-Yi
Affiliation:Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China;Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China; Department of Mathematics and Physics, West Anhui University, Liuan 237012, China
Abstract:Based on the Schwinger Bose operator realization of angular momentum, we introduce the entangled state representation as well as the Wigner operator in such representation and then derive the Wigner quasiprobability function of spin coherent states. The properties of corresponding Wigner function in the phase space are discussed by numerical calculation. The results indicate that the spin coherent states based on Schwinger Bose operator realization actually show entanglement properties.
Keywords:spin coherent state  Schwinger Bose operation realization  Wigner function  entangled state representation
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