[en] We theoretically study the propagation of an interacting Bose-Einstein condensate in a two-dimensional disorder potential, following the principle of an atom laser. The constructive interference between time-reversed scattering paths gives rise to coherent backscattering, which may be observed under the form of a sharp cone in the disorder-averaged angular backscattered current. As is found by the numerical integration of the Gross-Pitaevskii equation, this coherent backscattering cone is inversed when a non-vanishing interaction strength is present, indicating a crossover from constructive to destructive interferences. Numerical simulations based on the Truncated Wigner method allow one to go beyond the mean-field approach and show that dephasing renders this signature of antilocalisation hidden behind a structureless and dominant incoherent contribution as the interaction strength is increased and the injected density decreased, in a regime of parameters far away from the mean-field limit. However, despite a partial dephasing, we observe that this weak antilocalisation scenario prevails for finite interaction strengths, opening the way for an experimental observation with 87Rb atoms.
Disciplines :
Physics
Author, co-author :
Chrétien, Renaud ; Université de Liège - ULiège > Département de physique > Physique quantique statistique
Schlagheck, Peter ; Université de Liège - ULiège > Département de physique > Physique quantique statistique
Language :
English
Title :
Inversion of coherent backscattering with interacting Bose-Einstein condensates in two-dimensional disorder: A truncated Wigner approach
Publication date :
22 March 2021
Journal title :
Physical Review. A, Atomic, molecular, and optical physics
ISSN :
1050-2947
eISSN :
1094-1622
Publisher :
American Physical Society, United States - Maryland
Volume :
103
Pages :
033319
Peer reviewed :
Peer Reviewed verified by ORBi
Tags :
CÉCI : Consortium des Équipements de Calcul Intensif
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This implies in practice that one would consider a large population of reservoir atoms (say, (Equation presented)) and a small outcoupling amplitude (say, (Equation presented) in the natural units that we consider here) in such a way that the two compensate each other, giving rise to a finite product (Equation presented).
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Strictly speaking, this property is not satisfied in the numerical simulations, the results of which are presented in this article, where for the sake of numerical efficiency we chose (Equation presented), which would correspond to (Equation presented). Numerical convergence checks were performed through comparisons with some test calculations that were carried out for (slightly) lower values of (Equation presented).
