Theory of elementary excitations in unstable Bose-Einstein condensates

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dc.creatorLeonhardt, U.
dc.creatorKiss, T.
dc.creatorOhberg, P.
dc.date2002-11-21
dc.date.accessioned2026-07-25T22:25:40Z
dc.descriptionLike classical fluids, quantum gases may suffer from hydrodynamic instabilities. Our paper develops a quantum version of the classical stability analysis in fluids, the Bogoliubov theory of elementary excitations in unstable Bose-Einstein condensates. In unstable condensates the excitation modes have complex frequencies. We derive the normalization conditions for unstable modes such that they can serve in a mode decomposition of the non-condensed component. Furthermore, we develop approximative techniques to determine the spectrum and the mode functions. Finally, we apply our theory to a sonic white hole and find that the spectrum of unstable modes is intrinsically discrete.
dc.identifierhttps://arxiv.org/abs/cond-mat/0211462
dc.identifierhttp://arxiv.org/abs/cond-mat/0211462
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/88945
dc.subjectSoft Condensed Matter
dc.titleTheory of elementary excitations in unstable Bose-Einstein condensates
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