Heat conductivity in small quantum systems: Kubo formula in Liouville space

Details Heat conductivity in small quantum systems: Kubo formula in Liouville space Heat conductivity in small quantum systems: Kubo formula in Liouville space

2005-03-22

arxiv.org/abs/cond-mat/0503549v1

Eur. Phys. J. B 42, 555-559 (2004)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 1 figure

Scientific paper

10.1140/epjb/e2005-00014-x

We consider chains consisting of several identical subsystems weakly coupled by various types of next neighbor interactions. At both ends the chain is coupled to a respective heat bath with different temperature modeled by a Lindblad formalism. The temperature gradient introduced by this environment is then treated as an external perturbation. We propose a method to evaluate the heat current and the local temperature profile of the resulting stationary state as well as the heat conductivity in such systems. This method is similar to Kubo techniques used e.g. for electrical transport but extended here to the Liouville space.

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