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Nonadiabatic Breaking of Topological Pumping
Lorenzo Privitera1, Angelo Russomanno2,3, Roberta Citro4
1SISSA, Via Bonomea 265, I-34136 Trieste, Italy.
Physical Review Letters
|March 24, 2018
Summary
Thouless pumping, a topological phenomenon, is not robust to nonadiabatic effects. Driving frequency deviations from topological quantization are quadratic, with nonanalytic behavior observed in charge pumping per period.
Area of Science:
- Condensed matter physics
- Topological matter
- Quantum dynamics
Background:
- Thouless pumping describes charge transport in topological insulators.
- Adiabaticity is typically assumed for quantized topological phenomena.
- Nonadiabatic effects can challenge the robustness of topological properties.
Purpose of the Study:
- Investigate Thouless pumping beyond the adiabatic limit.
- Quantify the impact of nonadiabatic effects on pumped charge.
- Explore conditions for recovering topological quantization.
Main Methods:
- Theoretical analysis of Thouless pumping protocols.
- Floquet theory and diagonal ensemble calculations.
- Examination of driving frequency and protocol dependence.
Main Results:
- Nonadiabatic effects lead to deviations from topological quantization.
- Pumped charge shows quadratic dependence on driving frequency for sudden turn-on.
- Nonanalytic behavior observed in charge pumped per period.
- Recovery of exponentially small corrections requires tailored driving protocols.
Conclusions:
- Thouless pumping is not generically robust to nonadiabatic effects.
- Deviations are quantifiable and depend on driving protocol.
- Experimental observation of these deviations is feasible and discussed.
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