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Universal Slow Growth of Entanglement in Interacting Strongly Disordered Systems

Universal Slow Growth of Entanglement in Interacting Strongly Disordered Systems

Recent numerical work by Bardarson, Pollmann, and Moore revealed a slow, logarithmic in time, growth of the entanglement entropy for initial product states in a putative many-body localized phase. We show that this surprising phenomenon results from the dephasing due to exponentially small interaction-induced corrections to the eigenenergies of different …