Quasi-one-dimensional character of sound propagation in elongated Bose-Einstein condensed clouds

Abstract

We consider propagation of sound pulses along the long axis of a Bose-Einstein condensed cloud in a very anisotropic trap. In the linear regime, we demonstrate that the square of the velocity of propagation is given by the square of the local sound velocity, $c^2=nU_0/m$, averaged over the cross section of the cloud. We also carry out calculations in the nonlinear regime, and determine how the speed of the pulse depends on its amplitude.

Locations

• Physical Review A - View
• arXiv (Cornell University) - View - PDF
• DataCite API - View