Simulating Quantum Dissipation in Many-Body Systems

Details Simulating Quantum Dissipation in Many-Body Systems Simulating Quantum Dissipation in Many-Body Systems

2001-10-29

arxiv.org/abs/cond-mat/0110588v1

Europh. Lett. 58, 155 (2002)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 4 figures

Scientific paper

10.1209/epl/i2002-00618-2

An efficient Path Integral Monte Carlo procedure is proposed to simulate the behavior of quantum many-body dissipative systems described within the framework of the influence functional. Thermodynamic observables are obtained by Monte Carlo sampling of the partition function after discretization and Fourier transformation in imaginary time of the dynamical variables. The method is tested extensively for model systems, using realistic dissipative kernels. Results are also compared with the predictions of a recently proposed semiclassical approximation, thus testing the reliability of the latter approach for weak quantum coupling. Our numerical method opens the possibility to quantitatively describe real quantum dissipative systems as, e.g., Josephson junction arrays.

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