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Hartmann, Timo ; Michl, Josef ; Petitjean, Cyril ; Wellens, Thomas ; Urbina, Juan-Diego ; Richter, Klaus ; Schlagheck, Peter

Weak localization with nonlinear bosonic matter waves

Hartmann, Timo, Michl, Josef, Petitjean, Cyril , Wellens, Thomas, Urbina, Juan-Diego, Richter, Klaus and Schlagheck, Peter (2012) Weak localization with nonlinear bosonic matter waves. Annals of Physics 327 (8), pp. 1998-2049. (In Press)

Date of publication of this fulltext: 11 Jun 2012 05:46
Article
DOI to cite this document: 10.5283/epub.24744

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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 ...

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.



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Details

Item typeArticle
Journal or Publication TitleAnnals of Physics
Publisher:ACADEMIC PRESS INC ELSEVIER SCIENCE
Place of Publication:SAN DIEGO
Volume:327
Number of Issue or Book Chapter:8
Page Range:pp. 1998-2049
Date13 April 2012
InstitutionsPhysics > Institute of Theroretical Physics
Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter
Identification Number
ValueType
10.1016/j.aop.2012.04.002DOI
1112.5603arXiv ID
KeywordsSPECTRAL 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
Dewey Decimal Classification500 Science > 530 Physics
StatusIn Press
RefereedYes, this version has been refereed
Created at the University of RegensburgYes
URN of the UB Regensburgurn:nbn:de:bvb:355-epub-247445
Item ID24744

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