Quasiperiodic Floquet-Thouless Energy Pump

Frederik Nathan, Rongchun Ge, Snir Gazit, Mark Rudner, Michael Kolodrubetz

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We study a disordered one-dimensional fermionic system subject to quasiperiodic driving by two modes with incommensurate frequencies. We show that the system supports a topological phase in which energy is transferred between the two driving modes at a quantized rate. The phase is protected by a combination of disorder-induced spatial localization and frequency localization, a mechanism unique to quasiperiodically driven systems. We demonstrate that an analogue of the phase can be realized in a cavity-qubit system driven by two incommensurate modes.

Original languageAmerican English
Article number166804
JournalPhysical Review Letters
Issue number16
StatePublished - 15 Oct 2021

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