Dynamical Density Fluctuation of Superfluids near Critical Velocities

Details Dynamical Density Fluctuation of Superfluids near Critical Velocities Dynamical Density Fluctuation of Superfluids near Critical Velocities

2010-06-15

arxiv.org/abs/1006.2999v1

Physics

Condensed Matter

Quantum Gases

4 pages, 1figure

Scientific paper

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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