Generalized two-mode thermal vacuum state for the Hamiltonian of a parametric amplifier derived by the IWOP method

Xue-xiang Xu, Hong-yi Fan, Li-yun Hu and Hong-chun Yuan

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 1, 18-23

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.

Keywords: Generalized two-mode thermal vacuum state; Thermo field dynamics; The IWOP technique (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:1:p:18-23

DOI: 10.1016/j.physa.2010.07.007

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