University of Minnesota
School of Physics & Astronomy

Fine Theoretical Physics Institute Seminar

Friday, October 2nd 2009
Speaker: Fabio Franchini, ICTP Trieste
Subject: Horizon in Random Matrix Theory, Hawking Radiation and Flow of Cold Atoms

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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