Numerical simulation of nonequilibrium states in a trapped Bose-Einstein condensate

Abstract

In this work we present numerical study of a trapped Bose-Einstein condensate perturbed by an alternating potential. The relevant physical situation has been recently realized in experiment, where the trapped condensate of ${}^{87}$Rb, being strongly perturbed, exhibits the set of spatial structures. Firstly, regular vortices are detected. Further, increasing either the excitation amplitude or modulation time results in the transition to quantum vortex turbulence, followed by a granular state. Numerical simulation of the nonequilibrium Bose-condensed system is based on the solution of the time-dependent 3D nonlinear Schrödinger equation within the static and dynamical algorithms. The damped gradient step and time split-step Fourier transform methods are employed. We demonstrate that computer simulations qualitatively reproduce the experimental picture, and describe well the main experimental observables.

Latex file, 7 pages, 1 figure

References in corpus (3)

• Route to turbulence in a trapped Bose-Einstein condensate
• Transition to quantum turbulence in a finite size superfluid
• Formation of granular structures in trapped Bose-Einstein condensates under oscillatory excitations

Cited by in corpus (1)

• Characteristic quantities for nonequilibrium Bose systems