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

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

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 …