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.

中文翻译：

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Rice-Mele 模型中的耗散辅助 Thouless 抽水

我们研究了热环境耗散对周期性驱动的 Rice-Mele 模型中拓扑泵浦的影响。我们报告说，耗散可以提高有限驱动频率范围内泵浦量化的鲁棒性。具体来说，在这种情况下，与相干演化相比，低温耗散动力学可以导致更接近 Thouless 量化值的泵送电荷。我们在 Floquet 框架中理解这种效果：耗散增加了 Floquet 带的数量，该带显示拓扑绕组，其中泵浦基本上被量化。这一发现是朝着理解在实验中利用的潜在非常有用的资源迈出的一步，在实验中耗散效应是不可避免的。