Generalized two-mode thermal vacuum state for the Hamiltonian of a parametric amplifier derived by the IWOP method |
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Authors: | Xue-xiang Xu Hong-yi FanLi-yun Hu Hong-chun Yuan |
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Institution: | a Department of Physics, Shanghai Jiao Tong University, Shanghai, 200030, Chinab College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China |
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Abstract: | In this paper, we employ the technique of integration within an ordered product of operators (IWOP) to derive a generalized two-mode thermal vacuum state (GTTVS) for the Hamiltonian of a parametric amplifier. Application of GTTVS in calculating the ensemble average is discussed. The result is in agreement with that obtained by using the generalized Hellmann-Feynmann theorem. |
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Keywords: | Generalized two-mode thermal vacuum state Thermo field dynamics The IWOP technique |
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