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 Schlagheck4 — 1University 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)