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From Kardar-Parisi-Zhang Scaling to Soliton Proliferation in Josephson Junction Arrays

Mikheil Tsitsishvili1, Reinhold Egger1, Karsten Flensberg2, and Sebastian Diehl3

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Phys. Rev. Lett. 135, 246001 – Published 8 December, 2025

DOI: https://doi.org/10.1103/y3j5-dknd

Abstract

We propose Josephson junction arrays as realistic platforms for observing nonequilibrium scaling laws characterizing the Kardar-Parisi-Zhang (KPZ) universality class, and space-time soliton proliferation. Focusing on a two-chain ladder geometry, we perform numerical simulations for the roughness function. Together with analytical arguments, our results predict KPZ scaling at intermediate time scales, extending over sufficiently long timescales to be observable, followed by a crossover to the asymptotic longtime regime governed by soliton proliferation.

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Phys. Rev. Lett. 135, 246001– Published 8 December, 2025
  • Received 10 September 2025
  • Revised 20 October 2025
  • Accepted 21 November 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

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