Topological Floquet-Thouless Energy Pump


We explore adiabatic pumping in the presence of a 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.



Quantum electronics, Optical lattices, Nonequilibrium statistical mechanics, Thermodynamics, Quantum theory

U.S. Department of Energy (DOE) under Contract No. DEAC02-05CH11231; National Science Foundation (NSF) under Grant Nos. DMR-1411343, PHY-1607611, PHY- 1125915.


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