  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.
