Perturbative Analysis of Nonequilibrium Steady States in Quantum Systems

Physics – Condensed Matter – Statistical Mechanics

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12 pages, 1 figure, for the proceedings of "Recent Advances in the Physics of Low-Dimensional Nanoscale Systems" (Tashkent, No

Scientific paper

We study the nonequilibrium steady state (NESS) in a quantum system in contact with two heat baths at different temperatures. We use a time-independent perturbative expansion with respect to the coupling with the two heat baths to obtain the density matrix for the NESS. In particular, we show an explicit representation of the density matrix for the reflection symmetric and weakly nonequilibrium case. We also calculate the expectation value of the energy current and show that the Kubo formula holds in this case.

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