Step-like discontinuities in Bose-Einstein condensates and Hawking radiation: the hydrodynamic limit

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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19 pages, 7 figures. Final version, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.83.124016

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.

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