Quantum quenches to the attractive one-dimensional Bose gas: exact results

TL;DR

This paper provides exact results for the stationary state of a one-dimensional attractive Bose gas after a quantum quench from an initial condensate, highlighting the role of multi-particle bound states and their impact on physical properties.

Contribution

It offers an exact determination of the stationary state's rapidity distribution and analyzes the influence of multi-particle bound states on observable quantities.

Findings

Exact rapidity distribution of bound states obtained

Stationary value of local pair correlation function computed

Multi-particle bound states significantly affect system properties

Abstract

We study quantum quenches to the one-dimensional Bose gas with attractive interactions in the case when the initial state is an ideal one-dimensional Bose condensate. We focus on properties of the stationary state reached at late times after the quench. This displays a finite density of multi-particle bound states, whose rapidity distribution is determined exactly by means of the quench action method. We discuss the relevance of the multi-particle bound states for the physical properties of the system, computing in particular the stationary value of the local pair correlation function $g_2$.