On the Schrödinger-Langevin picture and the master equation
The temperature-dependent quantum master equation is derived by generalizing van Kampen's method. Starting with a stochastic Schrödinger equation and taking into account the finite quantum correlation-time of the thermal bath, we have found a fluctuation-dissipation-like relation. The normalization and the Hermitian property of the reduced density matrix are guaranteed. To the lowest order of the Kubo number, a temperature-dependent Kossakowski-Lindblad map is found. A particular system is solved: the harmonic oscillator in interaction with a thermal bath of oscillators. The classical limit is also discussed. We have stressed the usefulness of this Schrödinger-Langevin picture to study nonequilibrium many-body quantum statistical mechanic systems. The possibility to go beyond the Markovian map is stressed.
Year of publication: |
1996
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Authors: | Cáceres, Manuel O. ; Chattah, Ana K. |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 234.1996, 1, p. 322-340
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Publisher: |
Elsevier |
Saved in:
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