Black Holes as Critical Point of Quantum Phase Transition

Abstract

We reformulate the quantum black hole portrait in the language of modern condensed matter physics. We show that black holes can be understood as a graviton Bose-Einstein condensate at the critical point of a quantum phase transition, identical to what has been observed in systems of cold atoms. The Bogoliubov modes that become degenerate and nearly gapless at this point are the holographic quantum degrees of freedom responsible for the black hole entropy and the information storage. They have no (semi)classical counterparts and become inaccessible in this limit. These findings indicate a deep connection between the seemingly remote systems and suggest a new quantum foundation of holography. They also open an intriguing possibility of simulating black hole information processing in table-top labs.

27 pages, Latex

References in corpus (3)

• Black holes as mirrors: quantum information in random subsystems
• Bose-Einstein condensation of photons in an optical microcavity
• Self-Completeness of Einstein Gravity

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• Compact sources and cosmological horizons in lower dimensional bootstrapped Newtonian gravity
• Constraints on the quantum state of pairs produced by semiclassical black holes
• Quantum Exclusion of Positive Cosmological Constant?