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Berlin 2012 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 23: Quantum Chaos I

DY 23.3: Talk

Thursday, March 29, 2012, 10:00–10:15, MA 001

Weak (anti-)localization of Bose-Einstein condensates in two-dimensional chaotic cavities — •Timo Hartmann1, Josef Michl1, Juan Diego Urbina1, Cyril Petitjean2, Thomas Wellens3, Klaus Richter1, and Peter Schlagheck41University of Regensburg, Germany — 2SPSMS-INAC-CEA, Grenoble, France — 3University of Freiburg, Germany — 4Université de Liège, Belgium

The possibility to create arbitrarily shaped confinement potentials for cold atoms [1] makes it 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 [2]. We now study the analogous scenario of weak localization in ballistic billiard geometries which exhibit chaotic classical dynamics. To this end we investigate the quasi-stationary propagation of a condensate through such structures within the mean-field approximation. The transmission is studied as a function of an artifical magnetic gauge field [3] and of the nonlinearity within the Gross-Pitaevskii equation. Numerical simulations reveal a (partial) inversion of the weak-localization signature with increasing nonlinearity. This effect is analyzed using a diagrammatic perturbation theory based on semiclassical methods.
K. Henderson et al., New J. Phys. 11, 043030(2009)
M. Hartung et al., Phys. Rev. Lett. 101, 020603 (2008)
J. Dalibard et al., Rev. Mod. Phys. Colloquium, accepted (2011)

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