Fermi gases in one dimension: From Bethe ansatz to experiments

XW Guan, MT Batchelor, C Lee - Reviews of Modern Physics, 2013 - APS
This article reviews theoretical and experimental developments for one-dimensional Fermi
gases. Specifically, the experimentally realized two-component delta-function interacting …

Quench dynamics and relaxation in isolated integrable quantum spin chains

FHL Essler, M Fagotti - Journal of Statistical Mechanics: Theory …, 2016 - iopscience.iop.org
We review the dynamics after quantum quenches in integrable quantum spin chains. We
give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the …

[图书][B] The one-dimensional Hubbard model

FHL Essler, H Frahm, F Göhmann, A Klümper… - 2005 - books.google.com
The description of solids at a microscopic level is complex, involving the interaction of a
huge number of its constituents, such as ions or electrons. It is impossible to solve the …

Long-range PSU (2, 2| 4) Bethe ansaetze for gauge theory and strings

N Beisert, M Staudacher - Nuclear Physics B, 2005 - Elsevier
We generalize various existing higher-loop Bethe ansätze for simple sectors of the
integrable long-range dynamic spin chain describing planar N= 4 super-Yang–Mills theory …

Complete two-loop dominant corrections to the mass of the lightest CP-even Higgs boson in the minimal supersymmetric standard model

JR Espinosa, RJ Zhang - Nuclear Physics B, 2000 - Elsevier
Using an effective potential approach, we compute two-loop radiative corrections to the
MSSM lightest CP-even Higgs boson mass M h0 to O (α t2) for arbitrary left-right top-squark …

Solution of the quantum inverse problem

F Göhmann, VE Korepin - Journal of Physics A: Mathematical …, 2000 - iopscience.iop.org
We derive a formula that expresses the local spin and field operators of fundamental graded
models in terms of the elements of the monodromy matrix. This formula is a quantum …

The algebraic Bethe ansatz for rational braid-monoid lattice models

MJ Martins, PB Ramos - Nuclear Physics B, 1997 - Elsevier
In this paper we study isotropic integrable systems based on the braid-monoid algebra.
These systems constitute a large family of rational multistate vertex models and are realized …

Finite-temperature dynamical correlations in massive integrable quantum field theories

FHL Essler, RM Konik - Journal of Statistical Mechanics: Theory …, 2009 - iopscience.iop.org
We consider the finite-temperature frequency and momentum-dependent two-point functions
of local operators in integrable quantum field theories. We focus on the case where the zero …

The supersymmetric t− J model with quantum group invariance

A Foerster, M Karowski - Nuclear Physics B, 1993 - Elsevier
An integrable quantum group deformation of the supersymmetric t− J model is introduced.
Open-boundary conditions lead to an spl q (2, 1) invariant hamiltonian. A general procedure …

Completeness of Wronskian Bethe Equations for Rational Spin Chains

D Chernyak, S Leurent, D Volin - Communications in Mathematical …, 2022 - Springer
We consider rational integrable supersymmetric gl m| n spin chains in the defining
representation and prove the isomorphism between a commutative algebra of conserved …