Many-Body Localization with Quasiperiodic Driving

David M. Long; Philip J. D. Crowley; Anushya Chandran

doi:10.1103/physrevb.105.144204

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arXiv · 2108.04834

Many-Body Localization with Quasiperiodic Driving

David M. Long·Philip J. D. Crowley·Anushya Chandran

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Abstract

Sufficient disorder is believed to localize static and periodically-driven interacting chains. With quasiperiodic driving by $D$ incommensurate tones, the fate of this many-body localization (MBL) is unknown. We argue that randomly disordered MBL exists for $D=2$, but not for $D\geq 3$. 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 $D\geq 3$, 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.

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David M. Long, Philip J. D. Crowley, Anushya Chandran. 2021-08-10. Many-Body Localization with Quasiperiodic Driving. https://doi.org/10.1103/physrevb.105.144204

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