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arXiv · 2405.08606

Anomalous Landau damping and algebraic thermalization in two-dimensional superfluids far from equilibrium

Clément Duval·Nicolas Cherroret
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Abstract

We present a quantitative description of the thermalization dynamics of far-from-equilibrium, two-dimensional (2D) Bose superfluids. Our analysis leverages a quantum kinetic formalism and allows us to identify two successive regimes of relaxation: an initial damping of quasi-particles due to Landau scattering processes, followed by the slower establishment of a global equilibrium at long time. For a far-from-equilibrium initial state, we find that Landau damping differs from the conventional picture of exponentially relaxing quasi-particles. Moreover, our results showcase a pronounced mechanism of algebraic transport at late times, rooted in energy conservation and compatible with 2D diffusion. Using theoretical and numerical arguments, we construct a detailed dynamical portrait of global equilibration in 2D superfluids.

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Clément Duval, Nicolas Cherroret. 2024-05-14. Anomalous Landau damping and algebraic thermalization in two-dimensional superfluids far from equilibrium. https://doi.org/10.1103/physreva.111.l021301

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