On the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas

TL;DR

This paper investigates how a one-dimensional strongly correlated Bose gas relaxes towards equilibrium after a quench, using the Bose-Hubbard model with a confining trap to analyze the dynamics of initial density waves.

Contribution

It provides a detailed analysis of the relaxation process in a 1D Bose gas with strong correlations, incorporating the effects of a confining trap on the dynamics.

Findings

Relaxation dynamics depend on interaction strength and trap parameters.

Density waves evolve towards equilibrium states characterized by specific correlation patterns.

The study highlights the role of strong correlations in non-equilibrium relaxation processes.

Abstract

In this work we study the time evolution of soft core bosons on a one-dimensional lattice, where the particles are initially quenched into a atomic density wave. At time $t=0$ the particles are released from the quench and can evolve under the dynamics of a soft-core Bose-Hubbard Hamiltonian on a lattice including a confining trap.