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Technical support from P. Senat is gratefully acknowledged. We thank P. Orfila and S. Delprat for nanofabrication support, within the AdN, member of the French Renatech network, and our colleagues from the Quantronics group and C. Strunk for useful discussions. We thank M. Hays and V. Fatemi for their in-depth reading of our manuscript and for sharing with us Ref. [27]. This work has been supported by ANR contract JETS, by FET-Open contract AndQC, by the Spanish AEI through Grant No. FIS2017-84860-R, and through the Maria de Maeztu Programme for Units of Excellence in R&D (CEX2018-000805-M). L. Tosi was supported by the Marie Sklodowska-Curie individual fellowship grant 705467. C. Metgzer was supported by Region Ile-deFrance in the framework of DIM SIRTEQ. A. A. Reynoso acknowledges support from projects No. FIS2017-86478-P (MINECO, Spain) and E041-01 No. 174-2018-FONDECYTBM-IADT-AV (CONCYTEC, Peru).

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Circuit-QED with phase-biased Josephson weak links

Publicado en:Physical Review Research. 3 (1): 13036- - 2021-01-12 3(1), DOI: 10.1103/PhysRevResearch.3.013036

Autores: Metzger, C; Park, Sunghun; Tosi, L; Janvier, C; Reynoso, A A; Goffman, M F; Urbina, C; Yeyati, A Levy; Pothier, H

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Resumen

By coupling a superconducting weak link to a microwave resonator, recent experiments probed the spectrum and achieved the quantum manipulation of Andreev states in various systems. However, the quantitative understanding of the response of the resonator to changes in the occupancy of the Andreev levels, which are of fermionic nature, is missing. Here, using Bogoliubov-de Gennes formalism to describe the weak link and a general formulation of the coupling to the resonator, we calculate the shift of the resonator frequency as a function of the levels occupancy and describe how transitions are induced by phase or electric field microwave drives. We apply this formalism to analyze recent experimental results obtained using circuit-QED techniques on superconducting atomic contacts and semiconducting nanowire Josephson junctions.

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