English

Hawking radiation in sonic black holes

Atomic Physics 2009-11-10 v1 Other Condensed Matter Fluid Dynamics

Abstract

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.

Keywords

Cite

@article{arxiv.physics/0411064,
  title  = {Hawking radiation in sonic black holes},
  author = {S. Giovanazzi},
  journal= {arXiv preprint arXiv:physics/0411064},
  year   = {2009}
}

Comments

4 pages, 2 figures. Submitted to PRL

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