Hawking radiation in sonic black holes

Details Hawking radiation in sonic black holes Hawking radiation in sonic black holes

2004-11-08

arxiv.org/abs/physics/0411064v1

Phys.Rev.Lett. 94 (2005) 061302

Physics

Atomic Physics

4 pages, 2 figures. Submitted to PRL

Scientific paper

10.1103/PhysRevLett.94.061302

I present a microscopic description of Hawking radiation in sonic black holes. A one-dimensional Fermi-degenerate liquid squeezed by a smooth barrier forms a transonic flow, a sonic analogue of a black hole. The quantum treatment of the non-interacting case establishes a close relationship between the Hawking radiation and quantum tunnelling through the barrier. Quasi-particle excitations appear at the barrier and are then radiated with a thermal distribution in exact agreement with Hawking's formula. The signature of the radiation can be found in the dynamic structure factor, which can be measured in a scattering experiment. The possibility for experimental verification of this new transport phenomenon for ultra-cold atoms is discussed.

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