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

Abstract

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.

4 pages, no figures. PRL accepted version

References in corpus (3)

• Numerical observation of Hawking radiation from acoustic black holes in atomic Bose-Einstein condensates
• Non-local density correlations as signal of Hawking radiation in BEC acoustic black holes
• Hawking Radiation from Acoustic Black Holes, Short Distance and Back-Reaction Effects

Cited by in corpus (4)

• Quantum fluctuations around black hole horizons in Bose-Einstein condensates
• Random matrix theory and critical phenomena in quantum spin chains
• Universality of a family of Random Matrix Ensembles with logarithmic soft-confinement potentials
• Metal or Insulator? Dirac operator spectrum in holographic QCD