Plasmon decay and non-equilibrium steady states in Josephson junction chains

Fuente: arXiv
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Autores principales: Vigliotti, Lucia, Higginbotham, Andrew P., Serbyn, Maksym
Formato: Preprint
Publicado: 2026
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author Vigliotti, Lucia
Higginbotham, Andrew P.
Serbyn, Maksym
author_facet Vigliotti, Lucia
Higginbotham, Andrew P.
Serbyn, Maksym
contents Josephson junction (JJ) chains combine the coherence of superconductivity with the controllability of microwave-frequency circuits, making them a powerful platform for circuit quantum electrodynamics. In this work we consider a long JJ chain that effectively realizes a multi-mode cavity with nonlinear dispersion and additional multi-mode interactions. Individual modes appearing due to the finite size of the chain can be experimentally probed via microwave spectroscopy, both in equilibrium and in driven far-from-equilibrium settings. We study the role of multi-mode interactions in degrading internal coherence -- observable as excess linewidth -- in both equilibrium and driven regimes. Focusing on two-into-two mode scattering as the leading relaxation process, we classify the relevant scattering processes and derive their expected temperature- and frequency-scaling under equilibrium conditions. For experimentally relevant parameters, we show that the equilibrium decay rate is dominated by non-resonant processes, however weakly driving a particular set of modes out of equilibrium enhances resonant scattering, leading to observable signatures in the distribution function and linewidth. Finally, in the strong non-equilibrium regime we report a crossover to a qualitatively different non-equilibrium steady state.
format Preprint
id arxiv_https___arxiv_org_abs_2603_06371
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Plasmon decay and non-equilibrium steady states in Josephson junction chains
Vigliotti, Lucia
Higginbotham, Andrew P.
Serbyn, Maksym
Superconductivity
Mesoscale and Nanoscale Physics
Josephson junction (JJ) chains combine the coherence of superconductivity with the controllability of microwave-frequency circuits, making them a powerful platform for circuit quantum electrodynamics. In this work we consider a long JJ chain that effectively realizes a multi-mode cavity with nonlinear dispersion and additional multi-mode interactions. Individual modes appearing due to the finite size of the chain can be experimentally probed via microwave spectroscopy, both in equilibrium and in driven far-from-equilibrium settings. We study the role of multi-mode interactions in degrading internal coherence -- observable as excess linewidth -- in both equilibrium and driven regimes. Focusing on two-into-two mode scattering as the leading relaxation process, we classify the relevant scattering processes and derive their expected temperature- and frequency-scaling under equilibrium conditions. For experimentally relevant parameters, we show that the equilibrium decay rate is dominated by non-resonant processes, however weakly driving a particular set of modes out of equilibrium enhances resonant scattering, leading to observable signatures in the distribution function and linewidth. Finally, in the strong non-equilibrium regime we report a crossover to a qualitatively different non-equilibrium steady state.
title Plasmon decay and non-equilibrium steady states in Josephson junction chains
topic Superconductivity
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2603.06371