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TT: Fachverband Tiefe Temperaturen

TT 41: Matter at Low Temperature: Quantum Liquids, Bose-Einstein-Condensates, Ultra-cold Atoms

TT 41.15: Talk

Thursday, March 26, 2009, 18:00–18:15, HSZ 105

Propagation of a wave packet in the presence of random scattering and nonlinearity — •Georg Schwiete^1,2 and Alexander Finkel’stein^1,2 — ¹Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot, 76100, Israel — ²Department of Physics, Texas A&M University, College Station, TX 77843-4242, US

We address the problem of propagation of an injected wave-packet in a random potential in the presence of nonlinear interactions in two spatial dimensions. This problem is relevant for studies of Anderson localization in photonic lattices or for the expansion of Bose-Einstein condensates in the presence of disorder. Our starting point is the Gross-Pitaevskii equation (nonlinear Schroedinger equation) with a disorder potential. We derive a system of coupled equations that describes the spreading of the average density.