Thermodynamics of quantum dissipative many-body systems

Details Thermodynamics of quantum dissipative many-body systems Thermodynamics of quantum dissipative many-body systems

1999-01-25

arxiv.org/abs/cond-mat/9901265v2

Phys. Rev. E 60, 231 (1999)

Physics

Condensed Matter

Statistical Mechanics

ReVTeX, 12 pages, 9 embedded figures (vers.2: typo mistake fixed)

Scientific paper

10.1103/PhysRevE.60.231

We consider quantum nonlinear many-body systems with dissipation described within the Caldeira-Leggett model, i.e., by a nonlocal action in the path integral for the density matrix. Approximate classical-like formulas for thermodynamic quantities are derived for the case of many degrees of freedom, with general kinetic and dissipative quadratic forms. The underlying scheme is the pure-quantum self-consistent harmonic approximation (PQSCHA), equivalent to the variational approach by the Feynman-Jensen inequality with a suitable quadratic nonlocal trial action. A low-coupling approximation permits to get manageable PQSCHA expressions for quantum thermal averages with a classical Boltzmann factor involving an effective potential and an inner Gaussian average that describes the fluctuations originating from the interplay of quanticity and dissipation. The application of the PQSCHA to a quantum phi4-chain with Drude-like dissipation shows nontrivial effects of dissipation, depending upon its strength and bandwidth.

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