Hydrodynamic flow of expanding Bose-Einstein condensates

Abstract

We study expansion of quasi-one-dimensional Bose-Einstein condensate (BEC) after switching off the confining harmonic potential. Exact solution of dynamical equations is obtained in framework of the hydrodynamic approximation and it is compared with the direct numerical simulation of the full problem showing excellent agreement at realistic values of physical parameters. We analyze the maximum of the current density and estimate the velocity of expansion. The results of the 1D analysis provides also qualitative understanding of some properties of BEC expansion observed in experiments.

5 pages, 3 figures, RevTeX4. To appear in Physical Review A

Cited by in corpus (14)

• Feshbach resonance induced shock waves in Bose-Einstein condensates
• Decay of a superfluid currents in a moving system of strongly interacting bosons
• Collective oscillations of one-dimensional Bose-Einstein gas in a time-varying trap potential and atomic scattering length
• The uncertainty product of an out-of-equilibrium many-particle system
• Chaotic shock waves of a Bose-Einstein condensate
• Motion of dark solitons in a non-uniform flow of Bose-Einstein condensate
• Expansion of Bose-Einstein condensates in lower dimensions
• Propagation of wave packets along large-scale background waves
• Collision of rarefaction waves in Bose-Einstein condensates
• Effective self-similar expansion for the Gross-Pitaevskii equation
• Effective self-similar expansion of a Bose-Einstein condensate: Free space vs confined geometries
• On the Geometry of Extended Self-Similar Solutions of the Airy Shallow Water Equations
• Collective oscillations of a quasi one dimensional Bose condensate under damping
• Schrödinger approach to Mean Field Games with negative coordination