2011/12/31 by T. Hartmann, Timo Hartmann, Josef Michl +6 · 1 citation
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Matter wave #Mechanical and Optical Resonators #Nonlinear system #Physics #Quantum #Quantum Information and Cryptography #Quantum electrodynamics #Quantum mechanics #Statistical physics #cond-mat.quant-gas #nlin.CD
paper · pdf · doi:10.1016/j.aop.2012.04.002
published as Annals of Physics 327 (2012) 1998-2049 · 67 pages, 19 figures
openalex publication_date 2012/04/13 · arxiv created 2012/08/31 · arxiv updated 2015/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.