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arxiv: physics/0411064 · v1 · submitted 2004-11-08 · ⚛️ physics.atom-ph · cond-mat.other· physics.flu-dyn

Hawking radiation in sonic black holes

classification ⚛️ physics.atom-ph cond-mat.otherphysics.flu-dyn
keywords hawkingradiationbarrierblacksonicholesquantumagreement
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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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