Horizon in Random Matrix Theory, Hawking Radiation and Flow of Cold Atoms

Details Horizon in Random Matrix Theory, Hawking Radiation and Flow of Cold Atoms Horizon in Random Matrix Theory, Hawking Radiation and Flow of Cold Atoms

2009-05-21

arxiv.org/abs/0905.3533v2

Phys. Rev. Lett. 103: 166401,2009

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, no figures. PRL accepted version

Scientific paper

10.1103/PhysRevLett.103.166401

We propose a Gaussian scalar field theory in a curved 2D metric with an event horizon as the low-energy effective theory for a weakly confined, invariant Random Matrix ensemble (RME). The presence of an event horizon naturally generates a bath of Hawking radiation, which introduces a finite temperature in the model in a non-trivial way. A similar mapping with a gravitational analogue model has been constructed for a Bose-Einstein condensate (BEC) pushed to flow at a velocity higher than its speed of sound, with Hawking radiation as sound waves propagating over the cold atoms. Our work suggests a three-fold connection between a moving BEC system, black-hole physics and unconventional RMEs with possible experimental applications.

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