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26 April 2024
 
  » arxiv » 1112.5603

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Weak localization with nonlinear bosonic matter waves
Timo Hartmann ; Josef Michl ; Cyril Petitjean ; Thomas Wellens ; Juan-Diego Urbina ; Klaus Richter ; Peter Schlagheck ;
Date 23 Dec 2011
AbstractWe investigate the coherent propagation of dilute atomic Bose-Einstein condensates through irregularly shaped billiard geometries that are attached to uniform incoming and outgoing waveguides. Using the mean-field description based on the nonlinear Gross-Pita-evskii equation, we develop a diagrammatic theory for the self-consistent stationary scattering state of the interacting condensate, which is combined with the semiclassical representation of the single-particle Green function in terms of chaotic classical trajectories within the billiard. This analytical approach predicts a universal dephasing of weak localization in the presence of a small interaction strength between the atoms, which is found to be in good agreement with the numerically computed reflection and transmission probabilities of the propagating condensate. The numerical simulation of this quasi-stationary scattering process indicates that this interaction-induced dephasing mechanism may give rise to a signature of weak antilocalization, which we attribute to the influence of non-universal short-path contributions.
Source arXiv, 1112.5603
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