A new finite-dimensional thermal coherent state and its Wigner distribution function

doi:10.1088/1674-1056/20/1/014204

中国物理B ›› 2011, Vol. 20 ›› Issue (1): 14204-014204.doi: 10.1088/1674-1056/20/1/014204

A new finite-dimensional thermal coherent state and its Wigner distribution function

孟祥国¹, 梁宝龙¹, 王继锁²

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

收稿日期:2010-04-27 修回日期:2010-06-02 出版日期:2011-01-15 发布日期:2011-01-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10574060), the Natural Science Foundation of Shandong Province, China (Grant No. Y2008A23 and ZR2010AQ027) and the Shandong Province Higher Educational Science and Technology Program, China (Grant Nos. J09LA07 and J10LA15).

A new finite-dimensional thermal coherent state and its Wigner distribution function

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

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

Received:2010-04-27 Revised:2010-06-02 Online:2011-01-15 Published:2011-01-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10574060), the Natural Science Foundation of Shandong Province, China (Grant No. Y2008A23 and ZR2010AQ027) and the Shandong Province Higher Educational Science and Technology Program, China (Grant Nos. J09LA07 and J10LA15).

摘要/Abstract

摘要： This paper constructs a new type of finite-dimensional thermal coherent states (FDTCS), which differs from the proceeding thermal coherent state in construction, as realisations of SU(2) Lie algebra. Using the technique of integration within an ordered product of operator, it investigates the orthonormality and completeness relation of the FDTCS. Based on the thermal Wigner operator in the thermal entangled state representation, the Wigner function of the FDTCS is obtained. The nonclassical properties of the FDTCS are discussed in terms of the negativity of its Wigner function.

关键词: new finite-dimensional thermal coherent state, thermal entangled state representation, Wigner distribution function

Abstract: This paper constructs a new type of finite-dimensional thermal coherent states (FDTCS), which differs from the proceeding thermal coherent state in construction, as realisations of SU(2) Lie algebra. Using the technique of integration within an ordered product of operator, it investigates the orthonormality and completeness relation of the FDTCS. Based on the thermal Wigner operator in the thermal entangled state representation, the Wigner function of the FDTCS is obtained. The nonclassical properties of the FDTCS are discussed in terms of the negativity of its Wigner function.

Key words: new finite-dimensional thermal coherent state, thermal entangled state representation, Wigner distribution function

中图分类号: (Quantum optics)

42.50.-p

03.65.-w (Quantum mechanics)

孟祥国, 王继锁, 梁宝龙. A new finite-dimensional thermal coherent state and its Wigner distribution function[J]. 中国物理B, 2011, 20(1): 14204-014204.

Meng Xiang-Guo(孟祥国), Wang Ji-Suo(王继锁), and Liang Bao-Long(梁宝龙) . A new finite-dimensional thermal coherent state and its Wigner distribution function[J]. Chin. Phys. B, 2011, 20(1): 14204-014204.

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A new finite-dimensional thermal coherent state and its Wigner distribution function

A new finite-dimensional thermal coherent state and its Wigner distribution function

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