Phonon scattering from spatial relaxation of one-dimensional Bose gases
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911275218370560 |
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| author | Alilou, Bilal Duval, Clément Del Pozo, Frederick Cherroret, Nicolas |
| author_facet | Alilou, Bilal Duval, Clément Del Pozo, Frederick Cherroret, Nicolas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_14861 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phonon scattering from spatial relaxation of one-dimensional Bose gases Alilou, Bilal Duval, Clément Del Pozo, Frederick Cherroret, Nicolas Quantum Gases Quantum Physics 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. |
| title | Phonon scattering from spatial relaxation of one-dimensional Bose gases |
| topic | Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2511.14861 |