Non-adiabatic breaking of topological pumping

Abstract

We study Thouless pumping out of the adiabatic limit. Our findings show that despite its topological nature, this phenomenon is not {generically} robust to non-adiabatic effects. Indeed we find that the Floquet diagonal ensemble value of the pumped charge shows a deviation from the topologically quantized limit which is quadratic in the driving frequency {for a sudden switch-on of the driving}. This is reflected also in the charge pumped in a single period, which shows a non-analytic behaviour on top of an overall quadratic decrease. Exponentially small corrections are recovered only with a careful tailoring of the driving protocol. We also discuss thermal effects and the experimental feasibility of observing such a deviation.

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• An ideal rapid-cycle Thouless pump
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• Topological phase dynamics described by overtone-synthesized classical and quantum Adler equations
• Quantized Acoustoelectric Floquet Effect in Quantum Nanowires
• Topological dynamics of adiabatic cat states
• Topological anomalous Floquet photon pump