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

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...

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Bibliographic Details
Published in:Chinese physics B 2013-09, Vol.22 (9), p.217-221
Main Author: 徐学翔 胡利云 郭琴 范洪义
Format: Article
Language:English
Subjects:
Derivation
Dynamical systems
Dynamics
Entropy
Hellmann-Feynman theorem
Mathematical analysis
Operators
TVS
哈密顿量
应用
振子模型
有限温度
热场动力学
真空状态
耦合
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Summary: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.
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/22/9/090302