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From Kardar-Parisi-Zhang Scaling to Soliton Proliferation in Josephson Junction Arrays
Mikheil Tsitsishvili1, Reinhold Egger1, Karsten Flensberg2
1Heinrich-Heine-Universität, Institut für Theoretische Physik, D-40225 Düsseldorf, Germany.
None:
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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