Berlin 2005 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 13: Quantum Chaos
DY 13.14: Vortrag
Freitag, 4. März 2005, 17:30–17:45, TU H2032
Local Equilibrium Aspects of Small Quantum Systems: Kubo Formula in Liouville Space — •Mathias Michel1, Jochen Gemmer2, and Günter Mahler1 — 1Institute of Theoretical Physics I, University of Stuttgart — 2Department of Physics, University of Osnabrueck
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 [1]. 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 [2]. This method is similar to Kubo techniques used e.g. for electrical transport but extended here to the Liouville space.
[1] J. Gemmer, M. Michel and G. Mahler, Quantum Thermodynamics, Springer LNP657 (2005)
[2] M. Michel, J. Gemmer and G. Mahler, Eur. Phys. J. B, submitted (2004)