Dynamical density fluctuations of superfluids near the critical velocity
We propose a stability criterion of superfluids in condensed Bose-Einstein systems, which incorporates the spectral function or the autocorrelation function of the local density. Within the Gross-Pitaevskii-Bogoliubov theory, we demonstrate the validity of our criterion for the soliton-emission inst...
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| Published in | Physical review letters Vol. 105; no. 3; p. 035302 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
United States
16.07.2010
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| Online Access | Get more information |
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| Summary: | We propose a stability criterion of superfluids in condensed Bose-Einstein systems, which incorporates the spectral function or the autocorrelation function of the local density. Within the Gross-Pitaevskii-Bogoliubov theory, we demonstrate the validity of our criterion for the soliton-emission instability, with use of explicit forms of zero modes of the Bogoliubov equation and a dynamical scaling near the saddle-node bifurcation. We also show that the criterion is applicable to the Landau phonon instability and the Landau roton instability within the single-mode approximation. |
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| ISSN: | 1079-7114 |
| DOI: | 10.1103/physrevlett.105.035302 |