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DY: Fachverband Dynamik und Statistische Physik

DY 24: Poster I

DY 24.1: Poster

Wednesday, March 28, 2007, 16:00–18:00, Poster D

Transition from ballistic to diffusive transport in finite quantum systems — •Jochen Gemmer¹, Robin Steinigeweg¹, and Heinz-Peter Breuer² — ¹Universität Osnabrück, Fachbereich Physik, Barbarastr. 7 49069 Osnabrück — ²Albert-Ludwigs-Universität Freiburg, Physikalisches Institut, Hermann-Herder Str. 3, 79104 Freiburg

Standard tools in transport theory like the Kubo formula or quantum Boltzmann equations face, apart from some conceptual difficulties, the problem of being inapplicable to finite quantum systems. Thus we investigate the dynamics of spatial densities of e.g. energy or particles directly by projection operator techniques similar to those known from the field of open quantum systems. We find that periodic quantum systems may exhibit diffusive transport at intermediate sizes. However, in the limit of small and remarkably also in the limit of large systems, transport tends to be ballistic.