Scrambling in the black hole portrait

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 an 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.