Ground-state quantum geometry in superconductor–quantum dot chains
Ground-state quantum geometry in superconductor–quantum dot chains
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DOI：
10.1103/physrevb.103.014516
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发表时间：
2020-09
期刊：
影响因子：
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通讯作者：
Raffael L. Klees;J. Cuevas;W. Belzig;G. Rastelli
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文献类型：
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作者：
Raffael L. Klees;J. Cuevas;W. Belzig;G. Rastelli
多端约瑟夫森结构成工程拓扑系统，在任意合成尺寸定义的超导相。微波光谱能够测量量子几何张量，这是一个以统一的方式描述量子几何和紧急Andreev束缚态拓扑结构的基本量。在这项工作中，我们提出了一个实验上可行的多端设置的$N$量子点连接到$N+1$超导导致研究非平凡的拓扑结构的多体陈数的基态。此外，我们推广的微波光谱方案的多频带的情况下，非相互作用的基态的量子几何张量的元素，可以在低温下从可测量的振子强度实验访问。
Multiterminal Josephson junctions constitute engineered topological systems in arbitrary synthetic dimensions defined by the superconducting phases. Microwave spectroscopy enables the measurement of the quantum geometric tensor, a fundamental quantity describing both the quantum geometry and the topology of the emergent Andreev bound states in a unified manner. In this work we propose an experimentally feasible multiterminal setup of $N$ quantum dots connected to $N+1$ superconducting leads to study nontrivial topology in terms of the many-body Chern number of the ground state. Moreover, we generalize the microwave spectroscopy scheme to the multiband case and show that the elements of the quantum geometric tensor of the noninteracting ground state can be experimentally accessed from the measurable oscillator strengths at low temperature.