Weak localization with nonlinear bosonic matter waves

Hartmann, Timo and Michl, Josef and Petitjean, Cyril and Wellens, Thomas and Urbina, Juan-Diego and Richter, Klaus and Schlagheck, Peter (2012) Weak localization with nonlinear bosonic matter waves. ANNALS OF PHYSICS, 327 (8). pp. 1998-2049. ISSN 0003-4916,

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Abstract

We 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-Pitaevskii 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. (c) 2012 Elsevier Inc. All rights reserved.

Item Type: Article
Uncontrolled Keywords: SPECTRAL FORM-FACTOR; OFF-DIAGONAL APPROXIMATION; BOSE-EINSTEIN CONDENSATE; ANDERSON LOCALIZATION; PERIODIC-ORBITS; CONDUCTION ELECTRONS; CHAOTIC SCATTERING; HYPERBOLIC SYSTEMS; QUANTUM TRANSPORT; DISORDERED MEDIA; Weak localization; Coherent backscattering; Bose-Einstein condensate; Semiclassical theory; Nonlinear wave propagation; Quantum transport
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter
Depositing User: Dr. Gernot Deinzer
Date Deposited: 08 May 2020 05:30
Last Modified: 08 May 2020 05:30
URI: https://pred.uni-regensburg.de/id/eprint/18350

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