arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2005.07204quant-phcond-mat.mes-hallcond-mat.stat-mechnlin.CD
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拓扑边缘态的自激耗散非平衡同步

Dissipative nonequilibrium synchronization of topological edge states via self-oscillation

C. W. Wächtler, V. M. Bastidas, G. Schaller, W. J. Munro

摘要:

同步和拓扑能带结构的相互作用与驱动和耗散的影响下的对称保护的中间带隙状态在很大程度上是未开发的。在这里,我们考虑一个三聚体链的电子穿梭,每个组成的谐振子耦合到一个量子点之间的两个电子引线定位。每个穿梭受到热耗散,并经历一个分叉朝向自振荡与一个稳定的极限环,如果由引线之间的偏置电压驱动。通过将振荡器机械耦合在一起,我们观察到链端的同步运动,这可以使用线性稳定性分析来解释。由于三聚体链的反转对称性,这些同步状态在拓扑上受到保护,不受局部无序的影响。此外,在当前实验可行性的情况下,可以通过测量每个梭子的点占用来观察同步运动。我们的研究结果开辟了一个新的途径,以提高鲁棒性的同步运动,利用拓扑结构。

英文摘要:

The interplay of synchronization and topological band structures with symmetry protected midgap states under the influence of driving and dissipation is largely unexplored. Here we consider a trimer chain of electron shuttles, each consisting of a harmonic oscillator coupled to a quantum dot positioned between two electronic leads. Each shuttle is subject to thermal dissipation and undergoes a bifurcation towards self-oscillation with a stable limit cycle if driven by a bias voltage between the leads. By mechanically coupling the oscillators together, we observe synchronized motion at the ends of the chain, which can be explained using a linear stability analysis. Due to the inversion symmetry of the trimer chain, these synchronized states are topologically protected against local disorder. Furthermore, with current experimental feasibility, the synchronized motion can be observed by measuring the dot occupation of each shuttle. Our results open a new avenue to enhance the robustness of synchronized motion by exploiting topology.

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