Many-body Quantum Geometry in Superconductor-Quantum Dot Chains
Multiterminal Josephson junctions constitute engineered topological systems in arbitrary syn-thetic dimensions defined by the superconducting phases. Microwave spectroscopy enables the mea-surement of the quantum geometric tensor, a fundamental quantity describing both the quantumgeometry and the topology of the emergent Andreev bound states in a unified manner. In this workwe 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 theground state. Moreover, we generalize the microwave spectroscopy scheme to the multiband caseand show that the elements of the quantum geometric tensor of the noninteracting ground state canbe experimentally accessed from the measurable oscillator strengths at low temperature.
Raffael L. Klees, Juan Carlos Cuevas, Wolfgang Belzig and Gianluca Rastelli, Many-body Quantum Geometry in Superconductor-Quantum Dot Chains [arXiv:2009.11768]