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.

中文翻译：

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准周期 Floquet-Thouless 能量泵

我们研究了一个无序的一维费米子系统，该系统受到两种频率不公的模式的准周期驱动。我们表明该系统支持拓扑阶段，其中能量以量化速率在两种驱动模式之间转移。该相位受到无序引起的空间定位和频率定位的组合保护，这是准周期驱动系统独有的机制。我们证明了在由两种不公度模式驱动的腔量子位系统中可以实现相位的模拟。