article published yes Soham Mukhopadhyay author FDE60288-A89D-11E9-947F-1AF6E56974250000-0001-5263-5559 Diego A Lancheros Naranjo author 6c55e976-15b2-11ec-abd3-d790e8937fde Jorden L Senior author 5479D234-2D30-11EA-89CC-40953DDC885E0000-0002-0672-9295 Andrew P Higginbotham author 4AD6785A-F248-11E8-B48F-1D18A9856A870000-0003-2607-2363 GradSch department AnHi department Cavity electromechanics across a quantum phase transition project ISTplus - Postdoctoral Fellowships project Protected states of quantum matter project We report relaxation oscillations in a one-dimensional array of Josephson junctions, wherein the array dynamically switches between low-current and high-current states. 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. https://research-explorer.ista.ac.at/download/20324/20335/2025_PhysReviewAppl_Mukhopadhyay.pdf application/pdfno https://creativecommons.org/licenses/by/4.0/ American Physical Society2025 eng 2331-7019 2408.07829 00153733310000110.1103/qvls-7s3q 24 https://research-explorer.ista.ac.at/record/18057 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>. 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> Mukhopadhyay S, Lancheros Naranjo DA, Senior JL, Higginbotham AP. 2025. Dual relaxation oscillations in a Josephson-junction array. Physical Review Applied. 24, 014035. S. Mukhopadhyay, D.A. Lancheros Naranjo, J.L. Senior, A.P. Higginbotham, Physical Review Applied 24 (2025). 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> 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. 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>. 203242025-09-10T05:41:30Z2026-06-03T07:16:04Z