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.
Cited by 2
Alvise Bastianello et al., Exact Local Correlations and Full Counting Statistics for Arbitrary States of the One-Dimensional Interacting Bose Gas
Phys. Rev. Lett. 120, 190601 (2018) [Crossref]
Quirin Hummel et al., Partial Fermionization: Spectral Universality in 1D Repulsive Bose Gases
Phys. Rev. Lett. 122, 240601 (2019) [Crossref]