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Theory of elementary excitations in unstable Bose-Einstein condensates | | U. Leonhardt
; T. Kiss
; P. Ohberg
; | | Date: |
21 Nov 2002 | | Subject: | Soft Condensed Matter | cond-mat.soft | | 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 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. | | Source: | arXiv, cond-mat/0211462 | | Services: | Forum | Review | PDF | Favorites | |
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