---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '20324'
abstract:
- lang: eng
  text: 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.
acknowledged_ssus:
- _id: M-Shop
- _id: NanoFab
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.).
article_number: '014035'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Soham
  full_name: Mukhopadhyay, Soham
  id: FDE60288-A89D-11E9-947F-1AF6E5697425
  last_name: Mukhopadhyay
  orcid: 0000-0001-5263-5559
- 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
  last_name: Senior
  orcid: 0000-0002-0672-9295
- first_name: Andrew P
  full_name: Higginbotham, Andrew P
  id: 4AD6785A-F248-11E8-B48F-1D18A9856A87
  last_name: Higginbotham
  orcid: 0000-0003-2607-2363
citation:
  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>
  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>
  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>.
  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.
  ista: Mukhopadhyay S, Lancheros Naranjo DA, Senior JL, Higginbotham AP. 2025. Dual
    relaxation oscillations in a Josephson-junction array. Physical Review Applied.
    24, 014035.
  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>.
  short: S. Mukhopadhyay, D.A. Lancheros Naranjo, J.L. Senior, A.P. Higginbotham,
    Physical Review Applied 24 (2025).
corr_author: '1'
date_created: 2025-09-10T05:41:30Z
date_published: 2025-07-17T00:00:00Z
date_updated: 2025-12-11T10:47:34Z
day: '17'
ddc:
- '530'
department:
- _id: GradSch
- _id: AnHi
doi: 10.1103/qvls-7s3q
ec_funded: 1
external_id:
  arxiv:
  - '2408.07829 '
  isi:
  - '001537333100001'
file:
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  date_created: 2025-09-10T07:29:06Z
  date_updated: 2025-09-10T07:29:06Z
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file_date_updated: 2025-09-10T07:29:06Z
has_accepted_license: '1'
intvolume: '        24'
isi: 1
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: 0aa3608a-070f-11eb-9043-e9cd8a2bd931
  grant_number: P33692
  name: Cavity electromechanics across a quantum phase transition
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
- _id: eb9b30ac-77a9-11ec-83b8-871f581d53d2
  name: Protected states of quantum matter
publication: Physical Review Applied
publication_identifier:
  issn:
  - 2331-7019
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
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    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Dual relaxation oscillations in a Josephson-junction array
tmp:
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type: journal_article
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...