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arXiv · 1307.3458

Scrambling in the Black Hole Portrait

Gia Dvali·Daniel Flassig·Cesar Gomez·Alexander Pritzel·Nico Wintergerst
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Abstract

Recently a quantum portrait of black holes was suggested according to which a macroscopic black hole is a Bose-Einstein condensate of soft gravitons stuck at the critical point of a quantum phase transition. We explain why quantum criticality and instability are the key for efficient generation of entanglement and consequently of the scrambling of information. By studying a simple Bose-Einstein prototype, we show that the scrambling time, which is set by the quantum break time of the system, goes as $\log N \,$ for $N$ the number of quantum constituents or equivalently the black hole entropy.

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Gia Dvali, Daniel Flassig, Cesar Gomez, Alexander Pritzel, Nico Wintergerst. 2013-07-12. Scrambling in the Black Hole Portrait. https://doi.org/10.1103/physrevd.88.124041

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