APS » PROLA » Phys. Rev. A » Volume 60 » Issue 4

Phys. Rev. A 60, R2665 - R2668 (1999)

Stability of standing matter waves in a trap

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A. E. Muryshev1, H. B. van Linden van den Heuvell2, and G. V. Shlyapnikov1,3,4 *
1Russian Research Center, Kurchatov Institute, Kurchatov Square, 123182 Moscow, Russia
2Van der Waals-Zeemann Institute, University of Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands
3FOM Institute for Atomic and Molecular Physics, Kruislaan 407, 1098 SJ Amsterdam, The Netherlands
4Laboratoire Kastler Brossel, 24 Rue Lhomond, F-75231 Paris Cedex 05, France

Rapid Communication Received 17 May 1999

We discuss excited Bose-condensed states and find the criterion of dynamical stability of a kinkwise 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.


©1999 The American Physical Society

URL: http://link.aps.org/abstract/PRA/v60/pR2665
DOI: 10.1103/PhysRevA.60.R2665
PACS: 03.75.Fi, 05.30.Jp

* LKB is a unité de recherche de l’Ecole Normale Supérieure et de l’Université Pierre et Marie Curie, associée au CNRS.

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