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

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.