Topological Floquet-Thouless energy pump

Abstract

We explore adiabatic pumping in the presence of periodic drive, finding a new phase in which the topologically quantized pumped quantity is energy rather than charge. The topological invariant is given by the winding number of the micromotion with respect to time within each cycle, momentum, and adiabatic tuning parameter. We show numerically that this pump is highly robust against both disorder and interactions, breaking down at large values of either in a manner identical to the Thouless charge pump. Finally, we suggest experimental protocols for measuring this phenomenon.

4 pages, 4 figures. Minor replacements and references added

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Cited by in corpus (56)

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• Floquet-Engineered Topological Flat Bands in Irradiated Twisted Bilayer Graphene
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• Quasiperiodic Floquet-Thouless energy pump
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• Quantized Floquet topology with temporal noise
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• Dynamical chaotic phases and constrained quantum dynamics
• Extrinsic topology of Floquet anomalous boundary states in quantum walks
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• Geometric pumping and dephasing at topological phase transition
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• Topological dynamics of adiabatic cat states