Thermalization and prethermalization in isolated quantum systems: a theoretical overview

T Mori, TN Ikeda, E Kaminishi… - Journal of Physics B …, 2018 - iopscience.iop.org
The approach to thermal equilibrium, or thermalization, in isolated quantum systems is
among the most fundamental problems in statistical physics. Recent theoretical studies have …

Current operators in integrable models: a review

M Borsi, B Pozsgay, L Pristyák - Journal of Statistical Mechanics …, 2021 - iopscience.iop.org
We consider the current operators of one-dimensional integrable models. These operators
describe the flow of the conserved charges of the models, and they play a central role in …

[KNIHA][B] An introduction to integrable techniques for one-dimensional quantum systems

F Franchini - 2017 - Springer
These notes are the write-up and extension of the lectures I gave over a few years for a class
on “Introduction to Bethe Ansatz” within the Ph. D. program in Statistical Physics at SISSA …

[KNIHA][B] The bethe wavefunction

M Gaudin - 2014 - books.google.com
Michel Gaudin's book La fonction d'onde de Bethe is a uniquely influential masterpiece on
exactly solvable models of quantum mechanics and statistical physics. Available in English …

The quench action

JS Caux - Journal of Statistical Mechanics: Theory and …, 2016 - iopscience.iop.org
We give a pedagogical introduction to the methodology of the Quench Action, which is an
effective representation for the calculation of time-dependent expectation values of physical …

Advanced determinant calculus

C Krattenthaler - The Andrews Festschrift: Seventeen Papers on …, 2001 - Springer
The purpose of this article is threefold. First, it provides the reader with a few useful and
efficient tools which should enable her/him to evaluate nontrivial determinants for the case …

Calculation of scalar products of wave functions and form factors in the framework of the algebraic Bethe ansatz

NA Slavnov - Theoretical and Mathematical Physics (English …, 1989 - inis.iaea.org
[en] The Bethe ansatz method is widely used to investigate two-dimensional completely
integrable models. In the framework of the quantum inverse scattering method it has proved …

[KNIHA][B] Quasi-exactly solvable models in quantum mechanics

AG Ushveridze - 2017 - taylorfrancis.com
Exactly solvable models, that is, models with explicitly and completely diagonalizable
Hamiltonians are too few in number and insufficiently diverse to meet the requirements of …

[HTML][HTML] What is an integrable quench?

L Piroli, B Pozsgay, E Vernier - Nuclear Physics B, 2017 - Elsevier
Inspired by classical results in integrable boundary quantum field theory, we propose a
definition of integrable initial states for quantum quenches in lattice models. They are …

Differential equations for quantum correlation functions

AR Its, AG Izergin, VE Korepin… - International Journal of …, 1990 - World Scientific
The quantum nonlinear Schrödinger equation (one dimensional Bose gas) is considered.
Classification of representations of Yangians with highest weight vector permits us to …