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Theory of elementary excitations in unstable Bose-Einstein condensates

Leonhardt, U. and Kiss, T. and Ohberg, P. (2003) Theory of elementary excitations in unstable Bose-Einstein condensates. Physical Review A, 67 (3). ISSN 1050-2947

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    Abstract

    Like 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 noncondensed component. Furthermore, we develop approximative techniques to determine the spectrum and the mode functions. Finally, we apply our theory to sonic horizons - sonic black and white holes. For sonic white holes the spectrum of unstable modes turns out to be intrinsically discrete, whereas black holes may be stable.

    Item type: Article
    ID code: 4980
    Keywords: soft condensed matter, bose-einstein, fluids, physics, Physics, Atomic and Molecular Physics, and Optics
    Subjects: Science > Physics
    Department: Faculty of Science > Physics
    Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 12 Dec 2007
    Last modified: 05 Sep 2014 13:25
    URI: http://strathprints.strath.ac.uk/id/eprint/4980

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