论文标题
超导体 - 量子点链中的地面量子几何形状
Ground-state quantum geometry in superconductor-quantum dot chains
论文作者
论文摘要
多端约瑟夫森连接构成了由超导阶段定义的任意合成维度的工程拓扑系统。微波光谱能够测量量子几何张量，这是一种以统一的方式描述量子几何形状和新兴Andreev结合状态的拓扑的基本数量。在这项工作中，我们提出了一个实验可行的多端设置，其$ n $量子点与$ n+1 $超导相关的$ n $量子点可以从基地状态的多体Chern数来研究非平凡的拓扑。此外，我们将微波光谱方案推广到多播情况，并表明可以从低温下可测量的振荡器强度从可测量的振荡器强度进行实验访问非互动基态的量子几何张量的元素。
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.
