We present a comprehensive review on the state-of-the-art of the approximate analytic
approaches describing the finite-temperature thermodynamic quantities of the Lieb-Liniger …

We derive exact analytic expressions for the n-body local correlations in the one-
dimensional Bose gas with contact repulsive interactions (Lieb-Liniger model) in the …

We propose a form factor approach for the computation of the large distance asymptotic
behavior of correlation functions in quantum critical (integrable) models. In the large …

In this paper we consider the spin-1/2 highest weight representations for the 6-vertex Yang–
Baxter algebra on a finite lattice and analyze the integrable quantum models associated to …

We derive exact formulas for the expectation value of local observables in a one-
dimensional gas of bosons with point-wise repulsive interactions (Lieb–Liniger model) …

We present a comprehensive study shedding light on how thermal fluctuations affect
correlations in a Bose gas with contact repulsive interactions in one spatial dimension. The …

This chapter describes a general scheme for constructing quantum integrable models within
the Quantum Inverse Scattering Method (QISM) framework. Much of what is described here …

Motivated by recent experiments, we investigate the Lieb-Liniger gas initially prepared in an
out-of-equilibrium state that is Gaussian in terms of the phonons, namely whose density …

We derive expressions for the form factors of the quantum transfer matrix of the spin-$\frac
{1}{2} $ XXZ chain which are suitable for taking the infinite Trotter number limit. These form …

We consider the K-body local correlations in the (repulsive) 1D Bose gas for general K, both
at finite size and in the thermodynamic limit. Concerning the latter we develop a multiple …