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Evidence for Unbounded Growth of the Number Entropy in Many-Body Localized Phases

Evidence for Unbounded Growth of the Number Entropy in Many-Body Localized Phases

We investigate the number entropy S_{N}-which characterizes particle-number fluctuations between subsystems-following a quench in one-dimensional interacting many-body systems with potential disorder. We find evidence that in the regime which is expected to show many-body localization and where the entanglement entropy grows as Sāˆ¼lnt as function of time t, the number ā€¦