论文标题

库珀对晶体管作为最小拓扑量子电路

Cooper-pair transistor as a minimal topological quantum circuit

论文作者

Herrig, Tobias, Riwar, Roman-Pascal

论文摘要

在寻找拓扑材料时,受保护的量子计算的前景促进了巨大的进步,维持了一场持续的竞赛,以找到最可行的平台。在这里,我们表明,尽管存在详尽的现有文献,但最简单的量子电路之一,库珀对晶体管,表现出尚未讨论的非平凡的Chern号码。令人惊讶的是,所得的量化电流反应相对于大量外部扰动,最著名的是低频电荷噪声和准粒子中毒。此外,较高的乐队经历了较高的拓扑费用的交叉路口,这一事实导致所有乐队具有相同的Chern数字,因此没有限制以保持接近地面状态。根据通用主方程方法研究了剩余的小扰动。最后,我们讨论了一个可行的协议,以测量量化电流。

The outlook of protected quantum computing spurred enormous progress in the search for topological materials, sustaining a continued race to find the most experimentally feasible platform. Here, we show that one of the simplest quantum circuits, the Cooper-pair transistor, exhibits a nontrivial Chern number which has not yet been discussed, in spite of the exhaustive existing literature. Surprisingly, the resulting quantized current response is robust with respect to a large number of external perturbations, most notably low-frequency charge noise and quasiparticle poisoning. Moreover, the fact that the higher bands experience crossings with higher topological charges leads to all the bands having the same Chern number, such that there is no restriction to stay close to the ground state. Remaining small perturbations are investigated based on a generic Master equation approach. Finally, we discuss a feasible protocol to measure the quantized current.

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