论文标题

Bloch振荡协助的拓扑抽水

Topological pumping assisted by Bloch oscillations

论文作者

Ke, Yongguan, Hu, Shi, Zhu, Bo, Gong, Jiangbin, Kivshar, Yuri, Lee, Chaohong

论文摘要

通过添加倾斜的潜力来探测更好的拓扑非平凡带,扩展了一维晶格中的绝热量子泵。该扩展几乎导致在包括Bloch状态在内的感兴趣频段中选择的任意初始状态几乎完美量化泵送。在这种方法中,时间变量不仅提供了无与伦比的泵送的合成维度,而且由于倾斜引起的BLOCH振荡,它也有助于对所有Momenta的均匀采样。 BLOCH振荡的量化漂移取决于浆果曲率的一维时间积分,实际上是无与伦比泵送中拓扑Chern数的整数倍数。我们的研究提供了一种直接的方法来产生量化的泵送,这对于探测拓扑相过渡很有用。

Adiabatic quantum pumping in one-dimensional lattices is extended by adding a tilted potential to probe better topologically nontrivial bands. This extension leads to almost perfectly quantized pumping for an arbitrary initial state selected in a band of interest, including Bloch states. In this approach, the time variable offers not only a synthetic dimension as in the case of the Thouless pumping, but it assists also in the uniform sampling of all momenta due to the Bloch oscillations induced by the tilt. The quantized drift of Bloch oscillations is determined by a one-dimensional time integral of the Berry curvature, being effectively an integer multiple of the topological Chern number in the Thouless pumping. Our study offers a straightforward approach to yield quantized pumping, and it is useful for probing topological phase transitions.

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