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.
Applications of exact solution for strongly interacting one-dimensional Bose–Fermi mixture: Low-temperature correlation functions, density profiles, and collective modes
