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Q: Fachverband Quantenoptik und Photonik
Q 40: Transport and Localization of interacting Bosons 1
Q 40.4: Talk
Wednesday, March 16, 2011, 17:15–17:30, HSZ 02
Coherent transport of a BEC in the presence of disorder and nonlinearity — •Tobias Geiger, Thomas Wellens, and Andreas Buchleitner — Physikalisches Institut der Universitaet Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg
For a dilute cloud of weakly interacting ultracold bosons subject to a random disorder potential, the Gross-Pitaevskii equation, in its limits, produces reliable results. However, for increasing amounts of disorder and interaction, the stationary solution of the mean field description [1] – and eventually also the mean field description itself – breaks down.
In our approach, we treat the full bosonic N-body problem microscopically in a nonlinear scattering setup. By employing a diagrammatic technique relying on the assumption of a weakly scattering disorder potential [2], one is in principle able to sum up all different orders of the nonlinear scattering series.
Here, we present first preliminary results of different scattering orders and compare them to findings predicted by the Gross-Pitaevskii equation.
[1] T. Paul, M. Albert, P. Schlagheck, P. Leboeuf, and N. Pavloff, Phys. Rev. A 80, 033615 (2009)
[2] T. Wellens and B. Grémaud, Phys. Rev. A 80, 063827 (2009)