Relaxation of a high-energy quasiparticle in a one-dimensional Bose gas

TL;DR

This paper investigates how high-energy quasiparticles relax in a one-dimensional Bose gas, revealing a nonmonotonic temperature dependence with a peak at a specific crossover point, and connects scattering rates to local correlations.

Contribution

It provides the first detailed analysis of quasiparticle relaxation rates in 1D Bose gases, highlighting their nonmonotonic behavior and relation to local pair correlations.

Findings

Relaxation rate peaks at a specific temperature crossover.

Rate can exceed zero-temperature value significantly.

Differential scattering rate relates to local pair correlations.

Abstract

We evaluate the relaxation rate of high-energy quasiparticles in a weakly interacting one-dimensional Bose gas. Unlike in higher dimensions, the rate is a nonmonotonic function of temperature, with a maximum at the crossover to the state of suppressed density fluctuations. At the maximum, the relaxation rate may significantly exceed its zero-temperature value. We also find the dependence of the differential inelastic scattering rate on the transferred energy. This rate yields information about temperature dependence of local pair correlations.