4.8 Article

Quasiperiodic Floquet-Thouless Energy Pump

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Summary: We provide a topological classification of the steady states of d-dimensional lattice models driven by D incommensurate tones, revealing anomalous localized topological phases (ALTPs) in frequency space. The observable signatures of each ALTP depend on the spatial dimension, while the formal classification is determined by d + D. By identifying quantized circulating currents and topological edge states, we have designed concrete models of quasiperiodically driven qubits and wires that achieve ALTPs of several topological classes, offering a route to experimentally access higher dimensional ALTPs in low-dimensional systems.

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