Scrambling in the Black Hole Portrait
arXiv:1307.3458 · doi:10.1103/PhysRevD.88.124041
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 for the number of quantum constituents or equivalently the black hole entropy.
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