Microwave Spectroscopy Reveals the Quantum Geometric Tensor of Topological Josephson Matter

Year: 2020

Authors: Klees R. L., Rastelli G., Cuevas J.C., Belzig W.

Autors Affiliation: Univ Konstanz, Fachbereich Phys, D-78457 Constance, Germany; Univ Konstanz, Zukunftskolleg, D-78457 Constance, Germany; Univ Autonoma Madrid, Dept Fis Teor Mat Condensada, E-28049 Madrid, Spain; Univ Autonoma Madrid, Condensed Matter Phys Ctr IFIMAC, E-28049 Madrid, Spain

Abstract: Quantization effects due to topological invariants such as Chern numbers have become very relevant in many systems, yet key quantities such as the quantum geometric tensor providing local information about quantum states remain experimentally difficult to access. Recently, it has been shown that multiterminal Josephson junctions constitute an ideal platform to synthesize topological systems in a controlled manner. We theoretically study properties of Andreev states in topological Josephson matter and demonstrate that the quantum geometric tensor of Andreev states can be extracted by synthetically polarized microwaves. The oscillator strength of the absorption rates provides direct evidence of topological quantum properties of the Andreev states.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 124 (19)      Pages from: 197002  to:

More Information: R. L. K. thanks Robert Hussein for useful discussions. This work was supported by the Deutsche Forschungsgemeinschaft through SFB 767 and Grant No. RA 2810/1. J. C. C. acknowledges the support via the Mercator Program of the DFG in the frame of the SFB 767.
KeyWords: topological superconducting systems
DOI: 10.1103/PhysRevLett.124.197002