Quantum quench dynamics of the attractive one-dimensional Bose gas via the coordinate Bethe ansatz

Jan C. Zill, Tod M. Wright, Karen V. Kheruntsyan, Thomas Gasenzer, Matthew J. Davis

SciPost Phys. 4, 011 (2018) · published 25 February 2018

Abstract

We use the coordinate Bethe ansatz to study the Lieb-Liniger model of a one-dimensional gas of bosons on a finite-sized ring interacting via an attractive delta-function potential. We calculate zero-temperature correlation functions for seven particles in the vicinity of the crossover to a localized solitonic state and study the dynamics of a system of four particles quenched to attractive interactions from the ideal-gas ground state. We determine the time evolution of correlation functions, as well as their temporal averages, and discuss the role of bound states in shaping the postquench correlations and relaxation dynamics.

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Attractive Bose gas Bethe Ansatz Coordinate Bethe Ansatz (CBA) Dynamical correlation functions Lieb-Liniger model One-dimensional Bose gas Quantum quenches Relaxation dynamics

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