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

doi:10.1088/1674-1056/22/9/090302

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
Accepted manuscript online:

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

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Xu Xue-Xiang (徐学翔), Hu Li-Yun (胡利云), Guo Qin (郭琴), Fan Hong-Yi (范洪义) 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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Thermal vacuum state for the two-coupled-oscillator model at finite temperature：Derivation and application

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