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Regensburg 2010 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 19: Quantum Chaos

DY 19.15: Talk

Wednesday, March 24, 2010, 18:00–18:15, H38

Transport and weak localisation of Bose-Einstein condensates in two-dimensional billiards — •Timo Hartmann1, Juan Diego Urbina1, Cyril Petitjean1, Klaus Richter1, and Peter Schlagheck21Institute for Theoretical Physics, University of Regensburg, D-93040 Regensburg, Germany — 2Département de Physique, Université de Liège, 4000 Liège, Belgium

The possibility to induce artificial magnetic gauge potentials for matter waves [1] and to create almost arbitrarily shaped confinement potentials [2] makes it now interesting and feasible to study coherent transport of Bose-Einstein condensates through various mesoscopic structures. Previous theoretical studies have focused on the question how coherent backscattering in disordered potentials is modified by the presence of the atom-atom interaction [3]. We now study the analogous scenario of weak localisation in ballistic billiard geometries which exhibit chaotic classical dynamics. Therefore we numerically investigate the quasi-stationary propagation of a condensate through such structures within the mean-field approximation. The transmission is measured as a function of the magnetic field and of the non-linearity. A trend towards inversion of the signal of weak localisation is visible. We discuss the results from a semiclassical point of view.
Y.-J. Lin et al., Phys. Rev. Lett. 102 130401 (2009)
K. Henderson et al., New J. Phys. 11, 043030(2009)
M. Hartung et al., Phys. Rev. Lett. 101, 020603 (2008).

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