Finite-size effects from higher conservation laws for the one-dimensional Bose gas

TL;DR

This paper investigates finite-size effects and correlation functions in a generalized one-dimensional Bose gas model with all conservation laws, using conformal field theory and spectral analysis.

Contribution

It introduces a comprehensive analysis of finite-size corrections and correlation functions in a generalized Lieb-Liniger model with all conserved charges included.

Findings

Finite-size corrections to the energy spectrum are calculated.

Large-distance asymptotics of correlation functions are derived.

The approach incorporates all conservation laws in the density matrix.

Abstract

We consider a generalized Lieb-Liniger model, describing a one-dimensional Bose gas with all its conservation laws appearing in the density matrix. This will be the case for the generalized Gibbs ensemble, or when the conserved charges are added to the Hamiltonian. The finite-size corrections are calculated for the energy spectrum. Large-distance asymptotics of correlation functions are then determined using methods from conformal field theory.