Physics – Condensed Matter – Quantum Gases
Scientific paper
Mar 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003phrva..67c3602l&link_type=abstract
Physical Review A, vol. 67, Issue 3, id. 033602
Physics
Condensed Matter
Quantum Gases
25
Dynamic Properties Of Condensates, Collective And Hydrodynamic Excitations, Superfluid Flow, Quantum Aspects Of Black Holes, Evaporation, Thermodynamics
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 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.
Kiss Takanobu
Leonhardt Ulf
Ohberg Patrik
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