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Slow scrambling and hidden integrability in a random rotor model

Slow scrambling and hidden integrability in a random rotor model

We analyze the out-of-time-order correlation functions of a solvable model of a large number $N$ of $M$-component quantum rotors coupled by Gaussian-distributed random, infinite-range exchange interactions. We focus on the growth of commutators of operators at a temperature $T$ above the zero temperature quantum critical point separating the spin-glass and …