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DY: Dynamik und Statistische Physik

DY 22: Quantum Dynamics II

DY 22.2: Vortrag

Dienstag, 28. März 2006, 11:15–11:30, H\"UL 186

The limited validity of the Kubo formula for thermal conduction. — •Jochen Gemmer¹, Robin Steinigeweg¹, and Mathias Michel² — ¹Physics Department, University of Osnabrück, Barbarastr. 7, 49069 Osnabrück — ²Institute of Theoretical Physics I, University of Stuttgart, Pfaffenwaldring 57, 70550 Stuttgart

The Kubo formula describes a current as a response to an external field. In the case of heat conduction there is no such external field. We analyze why and to what extend it is nevertheless justified to describe heat conduction in modular quantum systems by the Kubo formula. “Modular” we call systems that may be described as consisting of weakly coupled identical subsystems. We explain in what sense this description applies to a large class of systems. Furthermore, we numerically evaluate the Kubo formula for some finite modular systems. We compare the results with data obtained from the direct numerical solution of the corresponding time-dependent Schroedinger equation.

[1] Michel et al. Phys. Rev. Lett., 95, 180602 (2005)