{"publisher":"American Physical Society","abstract":[{"text":"Extracting the current-phase relationship (CPR) of a single superconducting junction is challenging in practice and traditionally involves embedding the junction in a larger superconducting circuit containing SQUIDs and/or resonators. Applying ac driving to the junction has proven to be a viable and less invasive way to extract information about the few lowest harmonics of the CPR, by locating the integer and fractional Shapiro steps in the 𝐼⁢𝑉-curve of the driven junction. Here, we present an alternative driving-based method that allows to extract the full harmonic content of a CPR in a relatively noninvasive way, by fitting the measured critical currents of the driven junction as a function of driving power. We test our method, both using numerical simulations and in experiments, and we show that it works accurately.","lang":"eng"}],"author":[{"last_name":"Tjøtta","first_name":"Maxim","full_name":"Tjøtta, Maxim"},{"last_name":"Shah","id":"de191434-4e7e-11ef-bf4b-9a056fc19fc3","first_name":"Devashish C","orcid":"0009-0007-5829-7707","full_name":"Shah, Devashish C"},{"id":"f05345fd-900f-11f1-bfd8-8c0b6eadcc7f","first_name":"Kanishk","full_name":"Modi, Kanishk","last_name":"Modi"},{"last_name":"Valentini","id":"C0BB2FAC-D767-11E9-B658-BC13E6697425","first_name":"Marco","full_name":"Valentini, Marco"},{"last_name":"Seoane Souto","full_name":"Seoane Souto, Rubén","first_name":"Rubén"},{"full_name":"Katsaros, Georgios","orcid":"0000-0001-8342-202X","first_name":"Georgios","id":"38DB5788-F248-11E8-B48F-1D18A9856A87","last_name":"Katsaros"},{"first_name":"Jeroen","full_name":"Danon, Jeroen","last_name":"Danon"}],"oa":1,"intvolume":"        26","OA_type":"green","status":"public","quality_controlled":"1","scopus_import":"1","researchdata_availability":"yes","publication":"Physical Review Applied","volume":26,"year":"2026","date_updated":"2026-10-19T07:25:01Z","das_tickbox":"1","date_created":"2026-10-18T22:01:52Z","acknowledgement":"The authors thank Afonso Oliveira, Stefano Calcaterra, Daniel Chrastina, and Giovanni Isella for providing the Ge/SiGe heterostructure. This work was supported by the Research Council of Norway through its Centers of Excellence funding scheme, Project No. 262633, “QuSpin,” the FWF Project with DOI:10.55776/PAT7682124, OeAD “ISTA Austria: ISTernship Summer Programme, Non-EU countries” (Ref. No.: MPC-2025-00945), the Spanish Comunidad de Madrid (CM) “Talento Program” (Project No. 2022-T1/IND-24070), and the Spanish Ministry of Science, Innovation, and Universities through Grants No. CEX2024-001445-S (Severo Ochoa Centres of Excellence program) and No. PID2022-140552NA-I00, funded by MCIN/AEI/10.13039/501100011033.","department":[{"_id":"GeKa"},{"_id":"GradSch"}],"date_published":"2026-10-01T00:00:00Z","dataavailabilitystatement":"The data that support the findings of this article are openly available at [10.5281/zenodo.22646275].","supplementarymaterial":"yes","OA_place":"repository","month":"10","issue":"4","arxiv":1,"article_type":"original","project":[{"name":"Superconducting spin qubits in planar Ge","grant_number":"PAT 7682124","_id":"5b9e579c-ab3d-11f0-914f-88754c5b5a3f"}],"type":"journal_article","article_processing_charge":"No","doi":"10.1103/d3gl-qntm","fulldoi":"https://doi.org/10.1103/d3gl-qntm","oa_version":"Preprint","language":[{"iso":"eng"}],"day":"01","_id":"23156","citation":{"ista":"Tjøtta M, Shah DC, Modi K, Valentini M, Seoane Souto R, Katsaros G, Danon J. 2026. Fast-driving spectroscopy of current-phase relationships of individual Josephson elements. Physical Review Applied. 26(4), 044017.","chicago":"Tjøtta, Maxim, Devashish C Shah, Kanishk Modi, Marco Valentini, Rubén Seoane Souto, Georgios Katsaros, and Jeroen Danon. “Fast-Driving Spectroscopy of Current-Phase Relationships of Individual Josephson Elements.” <i>Physical Review Applied</i>. American Physical Society, 2026. <a href=\"https://doi.org/10.1103/d3gl-qntm\">https://doi.org/10.1103/d3gl-qntm</a>.","apa":"Tjøtta, M., Shah, D. C., Modi, K., Valentini, M., Seoane Souto, R., Katsaros, G., &#38; Danon, J. (2026). Fast-driving spectroscopy of current-phase relationships of individual Josephson elements. <i>Physical Review Applied</i>. American Physical Society. <a href=\"https://doi.org/10.1103/d3gl-qntm\">https://doi.org/10.1103/d3gl-qntm</a>","ieee":"M. Tjøtta <i>et al.</i>, “Fast-driving spectroscopy of current-phase relationships of individual Josephson elements,” <i>Physical Review Applied</i>, vol. 26, no. 4. American Physical Society, 2026.","mla":"Tjøtta, Maxim, et al. “Fast-Driving Spectroscopy of Current-Phase Relationships of Individual Josephson Elements.” <i>Physical Review Applied</i>, vol. 26, no. 4, 044017, American Physical Society, 2026, doi:<a href=\"https://doi.org/10.1103/d3gl-qntm\">10.1103/d3gl-qntm</a>.","short":"M. Tjøtta, D.C. Shah, K. Modi, M. Valentini, R. Seoane Souto, G. Katsaros, J. Danon, Physical Review Applied 26 (2026).","ama":"Tjøtta M, Shah DC, Modi K, et al. Fast-driving spectroscopy of current-phase relationships of individual Josephson elements. <i>Physical Review Applied</i>. 2026;26(4). doi:<a href=\"https://doi.org/10.1103/d3gl-qntm\">10.1103/d3gl-qntm</a>"},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2511.14313"}],"article_number":"044017","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_identifier":{"eissn":["2331-7019"]},"publication_status":"published","external_id":{"arxiv":["2511.14313"]},"title":"Fast-driving spectroscopy of current-phase relationships of individual Josephson elements"}