Quasinormal mode analysis in BEC acoustic black holes
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2007
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Amer Physical Soc
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Abstract
We perform a quasinormal mode analysis of black-hole configurations in Bose-Einstein condensates (BECs). In this analysis we use the full Bogoliubov dispersion relation, not just the hydrodynamic or geometric approximation. We restrict our attention to one-dimensional flows in BECs with steplike discontinuities. For this case we show that in the hydrodynamic approximation quasinormal modes do not exist. The full dispersion relation, however, allows the existence of quasinormal modes. Remarkably, the spectrum of these modes is not discrete but continuous.
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© 2007 The American Physical Society.
C. B. has been funded by the Spanish MEC under Project No. FIS2005-05736-C03-01 with a partial FEDER contribution. G. J. was supported by CSIC Grant No. I3P-BPD2005 of the I3P programme, cofinanced by the European Social Fund, and by he Spanish MEC under Project No. FIS2005-05736-C03-01. L. G. was supported by the Spanish MEC under Project No. FIS2005-05736-C03-02. The authors also acknowledge support from the Spanish MEC Project No. FIS2006-26387-E.