Evidence for Unbounded Growth of the Number Entropy in Many-Body Localized Phases
Maximilian Kiefer-Emmanouilidis, R. G. Unanyan, Michael Fleischhauer, Jesko Sirker
Abstract
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 S∼lnt as function of time t, the number entropy grows as S_{N}∼lnlnt, indicating continuing subdiffusive particle transport at a very slow rate. We demonstrate that this growth is consistent with a relation between entanglement and number entropy recently established for noninteracting systems.
Topics & Concepts
Statistical physicsEntropy (arrow of time)PhysicsQuantum mechanicsQuantum many-body systemsAdvanced Thermodynamics and Statistical MechanicsQuantum and electron transport phenomena