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The oscillations are current-voltage dual to those ordinarily observed in single junctions. The current-voltage dual circuit quantitatively accounts for temporal dynamics of the array, including the dependence on biasing conditions. Injection locking of the oscillations results in well-developed current plateaux. A thermal model explains the self-consistent reduction of the superconducting gap due to overheating of the array in the high-current state. Our work suggests that overheating determines the switching from the high-current state to the low-current state."}],"acknowledged_ssus":[{"_id":"M-Shop"},{"_id":"NanoFab"}],"_id":"20324","publication":"Physical Review Applied","year":"2025","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"publisher":"American Physical Society","month":"07","language":[{"iso":"eng"}],"fulldoi":"https://doi.org/10.1103/qvls-7s3q","date_published":"2025-07-17T00:00:00Z","scopus_import":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","file":[{"relation":"main_file","success":1,"checksum":"6cc3c9beeb7c0a88ee0a072c9a32b78b","date_created":"2025-09-10T07:29:06Z","creator":"dernst","file_size":1370466,"file_name":"2025_PhysReviewAppl_Mukhopadhyay.pdf","file_id":"20335","date_updated":"2025-09-10T07:29:06Z","content_type":"application/pdf","access_level":"open_access"}],"file_date_updated":"2025-09-10T07:29:06Z","external_id":{"arxiv":["2408.07829 "],"isi":["001537333100001"]},"arxiv":1,"oa":1,"has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","citation":{"chicago":"Mukhopadhyay, Soham, Diego A Lancheros Naranjo, Jorden L Senior, and Andrew P Higginbotham. “Dual Relaxation Oscillations in a Josephson-Junction Array.” <i>Physical Review Applied</i>. American Physical Society, 2025. <a href=\"https://doi.org/10.1103/qvls-7s3q\">https://doi.org/10.1103/qvls-7s3q</a>.","mla":"Mukhopadhyay, Soham, et al. “Dual Relaxation Oscillations in a Josephson-Junction Array.” <i>Physical Review Applied</i>, vol. 24, 014035, American Physical Society, 2025, doi:<a href=\"https://doi.org/10.1103/qvls-7s3q\">10.1103/qvls-7s3q</a>.","ieee":"S. Mukhopadhyay, D. A. Lancheros Naranjo, J. L. Senior, and A. P. Higginbotham, “Dual relaxation oscillations in a Josephson-junction array,” <i>Physical Review Applied</i>, vol. 24. American Physical Society, 2025.","short":"S. Mukhopadhyay, D.A. Lancheros Naranjo, J.L. Senior, A.P. Higginbotham, Physical Review Applied 24 (2025).","apa":"Mukhopadhyay, S., Lancheros Naranjo, D. A., Senior, J. L., &#38; Higginbotham, A. P. (2025). Dual relaxation oscillations in a Josephson-junction array. <i>Physical Review Applied</i>. American Physical Society. <a href=\"https://doi.org/10.1103/qvls-7s3q\">https://doi.org/10.1103/qvls-7s3q</a>","ama":"Mukhopadhyay S, Lancheros Naranjo DA, Senior JL, Higginbotham AP. Dual relaxation oscillations in a Josephson-junction array. <i>Physical Review Applied</i>. 2025;24. doi:<a href=\"https://doi.org/10.1103/qvls-7s3q\">10.1103/qvls-7s3q</a>","ista":"Mukhopadhyay S, Lancheros Naranjo DA, Senior JL, Higginbotham AP. 2025. Dual relaxation oscillations in a Josephson-junction array. Physical Review Applied. 24, 014035."},"volume":24,"acknowledgement":"We gratefully acknowledge support from the Miba Machine Shop and the Nanofabrictation Facility at IST Austria. This work was supported by the Austrian FWF under Grant No. P33692-N (S.M., J.S., and A.P.H.), the European Union’s Horizon 2020 research and innovation program under Marie Skłodowska-Curie Grant Agreement No. 754411 (J.S.), and a NOMIS Foundation research grant (A.P.H.).","date_updated":"2026-09-24T10:13:38Z","ec_funded":1,"publication_identifier":{"issn":["2331-7019"]},"status":"public","publication_status":"published","article_number":"014035"},{"title":"Dual relaxation oscillations in a Josephson junction array","department":[{"_id":"AnHi"},{"_id":"GradSch"}],"das_tickbox":"0","abstract":[{"text":"We report relaxation oscillations in a one-dimensional array of Josephson\r\njunctions. The oscillations are circuit-dual to those ordinarily observed in\r\nsingle junctions. The dual circuit quantitatively accounts for temporal\r\ndynamics of the array, including the dependence on biasing conditions.\r\nInjection locking the oscillations results in well-developed current plateaux.\r\nA thermal model explains the relaxation step of the oscillations.","lang":"eng"}],"acknowledged_ssus":[{"_id":"NanoFab"},{"_id":"M-Shop"}],"oa_version":"Preprint","supplementarymaterial":"no","doi":"10.48550/arXiv.2408.07829","type":"preprint","OA_place":"repository","author":[{"last_name":"Mukhopadhyay","orcid":"0000-0001-5263-5559","first_name":"Soham","full_name":"Mukhopadhyay, Soham","id":"FDE60288-A89D-11E9-947F-1AF6E5697425"},{"first_name":"Diego A","full_name":"Lancheros Naranjo, Diego A","id":"6c55e976-15b2-11ec-abd3-d790e8937fde","last_name":"Lancheros Naranjo"},{"first_name":"Jorden L","full_name":"Senior, Jorden L","id":"5479D234-2D30-11EA-89CC-40953DDC885E","orcid":"0000-0002-0672-9295","last_name":"Senior"},{"last_name":"Higginbotham","orcid":"0000-0003-2607-2363","first_name":"Andrew P","full_name":"Higginbotham, Andrew P","id":"4AD6785A-F248-11E8-B48F-1D18A9856A87"}],"researchdata_availability":"no","project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020"},{"grant_number":"P33692","_id":"0aa3608a-070f-11eb-9043-e9cd8a2bd931","name":"Cavity electromechanics across a quantum phase transition"},{"_id":"eb9b30ac-77a9-11ec-83b8-871f581d53d2","name":"Protected states of quantum matter"}],"date_created":"2024-09-11T09:25:22Z","related_material":{"record":[{"relation":"later_version","status":"public","id":"20324"},{"id":"17881","status":"public","relation":"dissertation_contains"}]},"day":"14","corr_author":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2408.07829","open_access":"1"}],"status":"public","article_number":"2408.07829","publication_status":"draft","date_updated":"2026-09-24T22:31:10Z","ec_funded":1,"fulldoi":"https://doi.org/10.48550/arXiv.2408.07829","language":[{"iso":"eng"}],"date_published":"2024-08-14T00:00:00Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","external_id":{"arxiv":["2408.07829"]},"arxiv":1,"oa":1,"citation":{"apa":"Mukhopadhyay, S., Lancheros Naranjo, D. A., Senior, J. L., &#38; Higginbotham, A. P. (n.d.). Dual relaxation oscillations in a Josephson junction array. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2408.07829\">https://doi.org/10.48550/arXiv.2408.07829</a>","short":"S. Mukhopadhyay, D.A. Lancheros Naranjo, J.L. Senior, A.P. Higginbotham, ArXiv (n.d.).","ista":"Mukhopadhyay S, Lancheros Naranjo DA, Senior JL, Higginbotham AP. Dual relaxation oscillations in a Josephson junction array. arXiv, 2408.07829.","ama":"Mukhopadhyay S, Lancheros Naranjo DA, Senior JL, Higginbotham AP. 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Work was supported by Austrian FWF grant P33692-N (S.M., J.S. and A.P.H.), the European Union’s Horizon 2020 Research and Innovation program under the Marie Sk lodowska-Curie Grant Agreement No. 754411 (J.S.), and a NOMIS foundation research grant (A.P.H.).\r\n","_id":"18057","publication":"arXiv","year":"2024","month":"08"}]