Phonon scattering from spatial relaxation of one-dimensional Bose gases

• URL: http://arxiv.org/abs/2511.14861v1
• Date: Tue, 18 Nov 2025 19:18:55 GMT
• Title: Phonon scattering from spatial relaxation of one-dimensional Bose gases
• Authors: Bilal Alilou, Clément Duval, Frederick Del Pozo, Nicolas Cherroret,
• Abstract summary: We investigate the nonequilibrium relaxation of a spatial density modulation in a weakly interacting Bose gas.<n>We show that the relaxation is governed by a nonequilibrium scattering rate $_k,t$ coupled to quantum fluctuations.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We theoretically investigate the nonequilibrium relaxation of a spatial density modulation in a one-dimensional, weakly interacting Bose gas, and its connection to the equilibrium scattering rate $\smash{γ_k\propto k^{3/2}}$ of the system's phononic excitations. We show that the relaxation is generally governed by a nonequilibrium scattering rate $γ_{k,t}$ coupled to quantum fluctuations, which approaches its equilibrium value $γ_k$ only at long times. Numerical simulations of quantum kinetic equations reveal an algebraic convergence, $\smash{γ_{k,t} - γ_k \sim t^{-2/3}}$, confirmed by analytical predictions. More broadly, our results establish a theoretical framework for experimentally probing phonon dynamics through the temporal evolution of local perturbations in quantum gases.

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