Dissipation assisted Thouless pumping in the Rice-Mele model

Abstract

We investigate the effect of dissipation from a thermal environment on topological pumping in the periodically-driven Rice-Mele model. We report that dissipation can improve the robustness of pumping quantisation in a regime of finite driving frequencies. Specifically, in this regime, a low-temperature dissipative dynamics can lead to a pumped charge that is much closer to the Thouless quantised value, compared to a coherent evolution. We understand this effect in the Floquet framework: dissipation increases the population of a Floquet band which shows a topological winding, where pumping is essentially quantised. This finding is a step towards understanding a potentially very useful resource to exploit in experiments, where dissipation effects are unavoidable. We consider small couplings with the environment and we use a Bloch-Redfield quantum master equation approach for our numerics: Comparing these results with an exact MPS numerical treatment we find that the quantum master equation works very well also at low temperature, a quite remarkable fact.

arXiv comment21 pages, 8 figures

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Cited by in corpus (6)

• Effect of disorder on topological charge pumping in the Rice-Mele model
• Rapid-cycle Thouless pumping in a one-dimensional optical lattice
• An ideal rapid-cycle Thouless pump
• Two-Dimensional Thouless Pumping of Ultracold Fermions in Obliquely Introduced Optical Superlattice
• Thouless pumping in Josephson junction arrays
• Absence of disordered Thouless pumps at finite frequency