Quasiperiodic Floquet-Thouless Energy Pump

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.

Automated summary

The study investigates a disordered one-dimensional fermionic system driven by two incommensurate frequencies, showing the support of a topological phase where energy transfers between the two driving modes at a quantized rate. The phase is protected by a combination of disorder-induced spatial and frequency localizations unique to quasiperiodically driven systems. It is demonstrated that a similar phase can be realized in a cavity-qubit system driven by two incommensurate modes.