中国物理B ›› 2013, Vol. 22 ›› Issue (9): 90302-090302.doi: 10.1088/1674-1056/22/9/090302

• GENERAL • 上一篇    下一篇

Thermal vacuum state for the two-coupled-oscillator model at finite temperature：Derivation and application

徐学翔a b, 胡利云a b, 郭琴a b, 范洪义c   

  1. a College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China;
    b Key Laboratory of Optoelectronic and Telecommunication of Jiangxi, Nanchang 330022, China;
    c Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China
  • 收稿日期:2013-02-25 修回日期:2013-03-22 出版日期:2013-07-26 发布日期:2013-07-26
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11175113 and 11264018), the Natural Science Foundation of Jiangxi Province, China (Grant Nos. 20132BAB212006, 20114BAB202004, and 2009GZW0006), the Research Foundation of the Education Department of Jiangxi Province, China (Grant No. GJJ12171), and the Open Foundation of the Key Laboratory of Optoelectronic and Telecommunication of Jiangxi Province, China (Grant No. 2013004).

Thermal vacuum state for the two-coupled-oscillator model at finite temperature：Derivation and application

Xu Xue-Xiang (徐学翔)a b, Hu Li-Yun (胡利云)a b, Guo Qin (郭琴)a b, Fan Hong-Yi (范洪义)c   

  1. a College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China;
    b Key Laboratory of Optoelectronic and Telecommunication of Jiangxi, Nanchang 330022, China;
    c Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China
  • Received:2013-02-25 Revised:2013-03-22 Online:2013-07-26 Published:2013-07-26
  • Contact: Xu Xue-Xiang E-mail:xxxjxnu@gmail.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11175113 and 11264018), the Natural Science Foundation of Jiangxi Province, China (Grant Nos. 20132BAB212006, 20114BAB202004, and 2009GZW0006), the Research Foundation of the Education Department of Jiangxi Province, China (Grant No. GJJ12171), and the Open Foundation of the Key Laboratory of Optoelectronic and Telecommunication of Jiangxi Province, China (Grant No. 2013004).

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摘要： Following the spirit of thermo field dynamics initiated by Takahashi and Umezawa, we employ the technique of integration within an ordered product of operators to derive the thermal vacuum state (TVS) for the Hamiltonian H of the two-coupled-oscillator model. The ensemble averages of the system are derived conveniently by using the TVS. In addition, the entropy for this system is discussed based on the relation between the generalized Hellmann-Feynman theorem and the entroy variation in the context of the TVS.

关键词: partial trace method, thermo field dynamics, integration within an ordered product of operators, generalized Hellmann-Feynman theorem

Abstract: Following the spirit of thermo field dynamics initiated by Takahashi and Umezawa, we employ the technique of integration within an ordered product of operators to derive the thermal vacuum state (TVS) for the Hamiltonian H of the two-coupled-oscillator model. The ensemble averages of the system are derived conveniently by using the TVS. In addition, the entropy for this system is discussed based on the relation between the generalized Hellmann-Feynman theorem and the entroy variation in the context of the TVS.

Key words: partial trace method, thermo field dynamics, integration within an ordered product of operators, generalized Hellmann-Feynman theorem

中图分类号:  (Quantum mechanics)

  • 03.65.-w
03.65.Yz (Decoherence; open systems; quantum statistical methods) 05.30.-d (Quantum statistical mechanics)