  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.

High Energy Physics - Theory;Quantum Gases;General Relativity and Quantum Cosmology;Quantum Physics