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

Fabio Franchini and Vladimir E. Kravtsov
Phys. Rev. Lett. 103, 166401 – Published 12 October 2009

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 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.

  • Received 21 May 2009

DOI:https://doi.org/10.1103/PhysRevLett.103.166401

©2009 American Physical Society

Authors & Affiliations

Fabio Franchini and Vladimir E. Kravtsov

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

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Issue

Vol. 103, Iss. 16 — 16 October 2009

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