Relaxation dynamics of two coherently coupled one-dimensional bosonic gases

TL;DR

This paper investigates the non-equilibrium relaxation dynamics of two tunnel-coupled one-dimensional bosonic gases, analyzing transient oscillations and thermalization behavior through semiclassical correlation functions.

Contribution

It provides a detailed analysis of the relaxation process and correlation functions in coupled 1D bosonic gases, highlighting the transient oscillations and thermal steady state characteristics.

Findings

Transient oscillations in correlation functions as a function of distance.

Steady state well approximated by a thermal state with tunneling-independent temperature.

Comparison of non-equilibrium dynamics with equilibrium results.

Abstract

In this work we consider the non-equilibrium dynamics of two tunnel coupled bosonic gases which are created from the coherent splitting of a one-dimensional gas. The consequences of the tunneling both in the non-stationary regime as well as at large time are investigated and compared with equilibrium results. In particular, within a semiclassical approximation, we compute correlation functions for the relative phase which are experimentally measurable and we observe a transient regime displaying oscillations as a function of the distance. The steady regime is very well approximated by a thermal state with a temperature independent of the tunneling strength.