Non-equilibrium thermo-field dynamics for a non-bilinear Hamiltonian

Mizuhiko Saeki

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 18, 3720-3738

Abstract: The non-equilibrium thermo-field dynamics proposed by Arimitsu and Umezawa are generalized to the case of a non-bilinear unperturbed Hamiltonian which includes not only a bilinear part but also a non-bilinear part with momentum mixing. The forms of the quasi-particle operators for a semi-free boson field are derived. The form of the two-point Green’s function for the semi-free boson field is evaluated. A form of the admittance for a boson system interacting with its heat reservoir, which includes effects of the initial correlation and memory, is derived using the TCLE method formulated in terms of generalized non-equilibrium thermo-field dynamics. The expressions of the zeroth-order, first-order and second-order parts of the admittance in powers of the boson–boson interaction, are derived.

Keywords: Non-equilibrium thermo-field dynamics; Two-point Green’s function; Linear response; Admittance; TCLE method (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:18:p:3720-3738

DOI: 10.1016/j.physa.2010.04.035

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