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Chin. Phys. B, 2013, Vol. 22(9): 090302    DOI: 10.1088/1674-1056/22/9/090302
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Thermal vacuum state for the two-coupled-oscillator model at finite temperature:Derivation and application

Xu Xue-Xianga b, Hu Li-Yuna b, Guo Qina b, Fan Hong-Yic
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
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.
Keywords:  partial trace method      thermo field dynamics      integration within an ordered product of operators      generalized Hellmann-Feynman theorem  
Received:  25 February 2013      Revised:  22 March 2013      Published:  26 July 2013
PACS:  03.65.-w (Quantum mechanics)  
  03.65.Yz (Decoherence; open systems; quantum statistical methods)  
  05.30.-d (Quantum statistical mechanics)  
  42.50  
  -p  
Fund: 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).
Corresponding Authors:  Xu Xue-Xiang     E-mail:  xxxjxnu@gmail.com

Cite this article: 

Xu Xue-Xiang, Hu Li-Yun, Guo Qin, Fan Hong-Yi Thermal vacuum state for the two-coupled-oscillator model at finite temperature:Derivation and application 2013 Chin. Phys. B 22 090302

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