Theory of elementary excitations in unstable Bose-Einstein condensates

Details Theory of elementary excitations in unstable Bose-Einstein condensates Theory of elementary excitations in unstable Bose-Einstein condensates

2002-11-21

arxiv.org/abs/cond-mat/0211462v1

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

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 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.

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