Collision of rarefaction waves in Bose-Einstein condensates

Abstract

We consider the problem of expansion of Bose-Einstein condensate released form a box. On the contrary to the standard situation of release from a harmonic trap, in this case the dynamics is complicated by a process of collision of two rarefaction waves propagating to the center of the initially uniform distribution. Complete analytical solution of this problem is obtained by Riemann method in hydrodynamic dispersionless approximation and the results are compared with the exact numerical solution of the Gross-Pitaevskii equation.

5 pages, 4 figures

References in corpus (2)

• On Dispersive and Classical Shock Waves in Bose-Einstein Condensates and Gas Dynamics
• Dissipative shock waves generated by a quantum-mechanical piston

Cited by in corpus (6)

• Formation of dispersive shock waves in evolution of a two-temperature collisionless plasma
• Formation of dispersive shock waves in a saturable nonlinear medium
• Dispersionless evolution of inviscid nonlinear pulses
• Dynamics of Interaction of Two Soliton Clouds
• Rogue waves in extended Gross-Pitaevskii Models with a Lee-Huang-Yang correction
• Landau-Khalatnikov problem in relativistic hydrodynamics