2016/05/31 by Leonardo Ermann, Eduardo Vergini, E. Vergini +1 · 1 citation
Physics and Astronomy · #Bose–Einstein condensate #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Integrable system #Mathematical physics #Physics #Quantum #Quantum chaos and dynamical systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Thermalisation #Time evolution #cond-mat.quant-gas #nlin.CD
paper · pdf · doi:10.1103/physreva.94.013618
published as Phys. Rev. A 94, 013618 (2016) · 11 pages, 14 figures. Final version. Accepted forpublication at Phys. Rev. A. Additional information available at http://www.quantware.ups-tlse.fr/QWLIB/sinaioscillator/
arxiv created 2016/07/13 · openalex publication_date 2016/07/25 · arxiv updated 2016/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study numerically the evolution of Bose-Einstein condensate in the Sinai-oscillator trap described by the Gross-Pitaevskii equation in two dimensions. In the absence of interactions, this trap mimics the properties of Sinai billiards where the classical dynamics is chaotic and the quantum evolution is described by generic properties of quantum chaos and random matrix theory. We show that, above a certain border, the nonlinear interactions between atoms lead to the emergence of dynamical thermalization which generates the statistical Bose-Einstein distribution over eigenmodes of the system without interactions. Below the thermalization border, the evolution remains quasi-integrable. Such a Sinai-oscillator trap, formed by the oscillator potential and a repulsive disk located in the vicinity of the center, had been already realized in first experiments with the Bose-Einstein condensate formation by Ketterle group in 1995 and we argue that it can form a convenient test bed for experimental investigations of dynamical of thermalization. Possible links and implications for Kolmogorov turbulence in absence of noise are also discussed.