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Friday, October 2nd 2009

11:00 am:

Abstract:

We propose a Gaussian scalar field theory in a curved 2-D metric with an event horizon as the low-energy effective theory for a weakly confined, invariant Random Matrix ensemble. The presence of an event horizon naturally generates 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 pushed to flow at a velocity higher than its speed of sound, with Hawking radiation as sound waves propagating over the cold atoms. All these systems share the same non-trivial 2-point correlation function, which breaks translational invariance. Our work suggests a three-fold connection between a moving BEC system, black-hole physics and unconventional RMEs.

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