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Thermal vacuum state for the two-coupled-oscillator model at finite temperature： Derivation and application |
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| Authors: | Xu Xue-Xiang Hu Li-Yun Guo Qin and Fan Hong-Yi |
| Institution: | [1]College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China [2]Key Laboratory of Optoelectronic and Telecommunication of Jiangxi, Nanchang 330022, China [3]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 |
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