Berlin 2008 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 22: Transport: Poster Session

TT 22.63: Poster

Wednesday, February 27, 2008, 14:00–18:00, Poster B

Transport in randomly coupled many-particle quantum systems — •Robin Steinigeweg and Jochen Gemmer — Physics Department, University of Osnabrück, Barbarastr. 7, D-49069 Osnabrück, Germany

Although models for non-interacting particles in ideally ordered structures are rather simple examples of quantum systems, the complete characterization of the available types of transport often remains an unsolved problem. However, such a characterization has recently been done for a certain class of randomly coupled but translational invariant single-particle models [1]. In particular, a transition from diffusive to ballistic transport has been found in the limit of both small and large length scales, e.g., the long-time dynamics always is ballistic for a sufficiently large system. We discuss whether or not these transitions also appear in similarly structured many-particle quantum systems which naturally are much more complex. To this end we correspondingly consider a randomly coupled, translational invariant model and compare the theoretical predictions with the numerical solution of the full time-dependent Schrödinger equation for a range of accessible model sizes.

• [1] R. Steinigeweg, H.-P. Breuer, and J. Gemmer, Phys. Rev. Lett. 99, 150601 (2007)