Step-like discontinuities in Bose-Einstein condensates and Hawking radiation: the hydrodynamic limit
arXiv:1004.4876 · doi:10.1103/PhysRevD.83.124016
Abstract
We present a detailed analytical analysis of the propagation of Bogoliubov phonons on top of Bose-Einstein condensates with spatial and temporal step-like discontinuities in the hydrodynamic limit and focus on some features in the correlations patterns, in particular of density-density correlations. The application to the study of the Hawking signal in the formation of acoustic black hole-like configurations is also discussed.
19 pages, 7 figures. Final version, to appear in Phys. Rev. D
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- The entropy of an acoustic black hole in Bose-Einstein condensates: transverse modes as a cure for divergences
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- Analogue Hawking Effect: BEC and Surface Waves
- Acoustic analogue of Hawking radiation in quantized circular superflows of Bose-Einstein condensates
- Analytic solutions in the acoustic black hole analogue of the conical Kerr metric
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