Adiabatic formation of bound states in the 1d Bose gas

TL;DR

This paper analytically studies how bound states form in a 1D Bose gas with inhomogeneous interactions when slowly changing from repulsive to attractive, using Generalized Hydrodynamics.

Contribution

It provides an analytical description of bound state formation during adiabatic interaction changes in the 1D Bose gas, extending to arbitrary initial states.

Findings

Bound states form during adiabatic interaction changes.

Analytical results apply to thermal and Generalized Gibbs Ensemble states.

Framework extends understanding of dynamics in inhomogeneous 1D Bose gases.

Abstract

We consider the 1d interacting Bose gas in the presence of time-dependent and spatially inhomogeneous contact interactions. Within its attractive phase, the gas allows for bound states of an arbitrary number of particles, which are eventually populated if the system is dynamically driven from the repulsive to the attractive regime. Building on the framework of Generalized Hydrodynamics, we analytically determine the formation of bound states in the limit of adiabatic changes in the interactions. Our results are valid for arbitrary initial thermal states and, more generally, Generalized Gibbs Ensembles.