Nonequilibrium Kinetics of One-Dimensional Bose Gases

TL;DR

This paper investigates the stability of out-of-equilibrium states in one-dimensional Bose gases, deriving an effective kinetic equation from 3D models and establishing stability criteria akin to classical plasmas.

Contribution

It introduces a novel derivation of a 1D Landau-Vlasov equation for Bose gases and analyzes the stability of non-equilibrium states in this regime.

Findings

Stable out-of-equilibrium states can exist in 1D Bose gases.

Derived stability criteria similar to classical plasma physics.

Established conditions under which these states are maintained.

Abstract

We study cold dilute gases made of bosonic atoms, showing that in the mean-field one-dimensional regime they support stable out-of-equilibrium states. Starting from the 3D Boltzmann-Vlasov equation with contact interaction, we derive an effective 1D Landau-Vlasov equation under the condition of a strong transverse harmonic confinement. We investigate the existence of out-of-equilibrium states, obtaining stability criteria similar to those of classical plasmas.