Many-Body Localization with Quasiperiodic Driving
arXiv:2108.04834 · doi:10.1103/PhysRevB.105.144204
Abstract
Sufficient disorder is believed to localize static and periodically-driven interacting chains. With quasiperiodic driving by incommensurate tones, the fate of this many-body localization (MBL) is unknown. We argue that randomly disordered MBL exists for , but not for . Specifically, a putative two-tone driven MBL chain is neither destabilized by thermal avalanches seeded by rare thermal regions, nor by the proliferation of long-range many-body resonances. For , however, sufficiently large thermal regions have continuous local spectra and slowly thermalize the entire chain. En route, we generalize the eigenstate thermalization hypothesis to the quasiperiodically-driven setting, and verify its predictions numerically. Two-tone driving enables new topological orders with edge signatures; our results suggest that localization protects these orders indefinitely.
arXiv comment15 pages, 4 figures + 6 pages, 4 figures; (v2) Clarifications on synthetic localization
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