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Phys Rev Lett. 2009 Oct 16;103(16):166401. Epub 2009 Oct 12.

Horizon in random matrix theory, the Hawking radiation, and flow of cold atoms.

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  • 1The Abdus Salam ICTP, Strada Costiera 11, Trieste, Italy.


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 nontrivial 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 threefold connection between a moving BEC system, black-hole physics and unconventional RMEs with possible experimental applications.

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