Quasi-normal mode analysis in BEC acoustic black holes

Abstract

We perform a quasi-normal mode analysis of black hole configurations in Bose-Einstein condensates (BEC). 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 BEC with step-like discontinuities. For this case we show that in the hydrodynamic approximation quasi-normal modes do not exist. The full dispersion relation, however, allows the existence of quasi-normal modes. Remarkably, the spectrum of these modes is not discrete but continuous.

7 pages, 3 figures

References in corpus (2)

• Stability analysis of sonic horizons in Bose-Einstein condensates
• Influence of Lorentz violation on Dirac quasinormal modes in the Schwarzschild black hole spacetime

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• Emergent gravity: the BEC paradigm
• High Overtone Quasinormal Modes of Analog Black Holes and the Small Scale Structure of the Background Fluid
• Ergoregion instability in a fluid with vorticity