On the stability of standing matter waves in a trap

Details On the stability of standing matter waves in a trap On the stability of standing matter waves in a trap

1998-11-29

arxiv.org/abs/cond-mat/9811408v3

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 3 figures

Scientific paper

10.1103/PhysRevA.60.R2665

We discuss excited Bose-condensed states and find the criterion of dynamical stability of a kink-wise state, i.e., a standing matter wave with one nodal plane perpendicular to the axis of a cylindrical trap. The dynamical stability requires a strong radial confinement corresponding to the radial frequency larger than the mean-field interparticle interaction. We address the question of thermodynamic instability related to the presence of excitations with negative energy.

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