From Kardar-Parisi-Zhang scaling to soliton proliferation in Josephson junction arrays
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866908705197391872 |
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| author | Tsitsishvili, Mikheil Egger, Reinhold Flensberg, Karsten Diehl, Sebastian |
| author_facet | Tsitsishvili, Mikheil Egger, Reinhold Flensberg, Karsten Diehl, Sebastian |
| contents | 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 time scales to be observable, followed by a crossover to the asymptotic long-time regime governed by soliton proliferation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_08479 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | From Kardar-Parisi-Zhang scaling to soliton proliferation in Josephson junction arrays Tsitsishvili, Mikheil Egger, Reinhold Flensberg, Karsten Diehl, Sebastian Statistical Mechanics Quantum Physics 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 time scales to be observable, followed by a crossover to the asymptotic long-time regime governed by soliton proliferation. |
| title | From Kardar-Parisi-Zhang scaling to soliton proliferation in Josephson junction arrays |
| topic | Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2509.08479 |