Operator and entanglement growth in non-thermalizing systems: many-body localization and the random singlet phase

22 Jan 2020  ·  Ian MacCormack, Mao Tian Tan, Jonah Kudler-Flam, Shinsei Ryu ·

We characterize the growth and spreading of operators and entanglement in two paradigmatic non-thermalizing phases - the many-body localized phase and the random singlet phase - using out-of-time-ordered correlators, the entanglement contour, and operator entanglement. We contrast these phases with strongly thermalizing holographic conformal field theories and fully localized Anderson insulators... We obtain a phenomenological description of the operator and state dynamics of these phases and demonstrate the utility of the entanglement contour and operator entanglement measures as useful probes of slowly scrambling and non-thermalizing dynamics. read more

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Strongly Correlated Electrons Disordered Systems and Neural Networks Statistical Mechanics High Energy Physics - Theory