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The sonic analogue of black hole radiation

S Giovanazzi

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A microscopic description of Hawking radiation in sonic black holes has been recently presented (Giovanazzi S 2005 Phys. Rev. Lett.94 061302). This exactly solvable model is formulated in terms of one-dimensional scattering of a Fermi gas. In this paper, the model is extended to account possible finite size effects of a realistic geometry. The flow of particles is maintained by a piston (i.e. an impenetrable barrier) moving slowly towards the sonic horizon. Using existing technologies the Hawking temperature can be of the order of a few microkelvin in a realistic experiment.


PACS

04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics

03.75.Lm Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices and topological excitations

03.75.Ss Degenerate Fermi gases

02.60.Jh Numerical differentiation and integration

Subjects

Quantum gases, liquids and solids

Computational physics

Gravitation and cosmology

Dates

Issue 10 (28 May 2006)

Received 1 December 2005, in final form 2 December 2005

Published 2 May 2006



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