In this review we demonstrate how the algebraic Bethe ansatz is used for the calculation of
the energy spectra and form factors (operator matrix elements in the basis of Hamiltonian …

Form factors for local spin operators of the XXZ Heisenberg spin-z finite chain are computed.
Representation theory of Drinfel'd twists in terms of F-matrices for the quantum affine algebra …

Let J= U= OJk= U'= 0 (ak, bk) be a union of n+ 1 disjoint intervals in In this paper we
consider the asymptotic behavior as x--oc of the Fredholm determinant Px= det (1-Kx) …

Using the algebraic Bethe ansatz method, and the solution of the quantum inverse scattering
problem for local spins, we obtain multiple integral representations of the n-point correlation …

We review applications of the sine-Gordon model, the O (3) non-linear sigma model, the U
(1) Thirring model, and the O (N) Gross–Neveu model to quasi one-dimensional quantum …

Coupling constants for the most relevant terms in the low energy effective Hamiltonian of the
XXZ spin chain are derived. Using this result we study the low energy (low temperature …

We study the return probability and its imaginary (τ) time continuation after a quench from a
domain wall initial state in the XXZ spin chain, focusing mainly on the region with anisotropy …

arxiv:solv-int/9804010v1 10 Apr 1998 Page 1 arxiv:solv-int/9804010v1 10 Apr 1998 UT-Komaba
98-5 Feburary 1998 Determinant formula for the six-vertex model with reflecting end Osamu …

This article is firstly a historic review of the theory of Riemann–Hilbert problems with
particular emphasis placed on their original appearance in the context of Hilbert's 21st …

We have developed a method to simulate quantum spin models with the Dzyaloshinskii-
Moriya interaction (DMI) using Rydberg atom quantum simulators. Our approach involves a …