Correlation functions and transport coefficients in generalised hydrodynamics

J De Nardis, B Doyon, M Medenjak… - Journal of Statistical …, 2022 - iopscience.iop.org
We review the recent advances on exact results for dynamical correlation functions at large
scales and related transport coefficients in interacting integrable models. We discuss Drude …

Full counting statistics in the transverse field Ising chain

S Groha, F Essler, P Calabrese - SciPost Physics, 2018 - scipost.org
We consider the full probability distribution for the transverse magnetization of a finite
subsystem in the transverse field Ising chain. We derive a determinant representation of the …

A systematic -expansion of form factor sums for dynamical correlations in the Lieb-Liniger model

E Granet, F Essler - SciPost Physics, 2020 - scipost.org
We introduce a framework for calculating dynamical correlations in the Lieb-Liniger model in
arbitrary energy eigenstates and for all space and time, that combines a Lehmann …

Thermal form-factor approach to dynamical correlation functions of integrable lattice models

F Göhmann, M Karbach, A Klümper… - Journal of Statistical …, 2017 - iopscience.iop.org
We propose a method for calculating dynamical correlation functions at finite temperature in
integrable lattice models of Yang–Baxter type. The method is based on an expansion of the …

Exact Real-Time Longitudinal Correlation Functions of the Massive Chain

C Babenko, F Göhmann, KK Kozlowski, J Sirker… - Physical Review Letters, 2021 - APS
We apply a recently developed thermal form factor expansion method to evaluate the real-
time longitudinal spin-spin correlation functions of the spin-1 2 XXZ chain in the …

Finite temperature and quench dynamics in the Transverse Field Ising Model from form factor expansions

E Granet, M Fagotti, F Essler - SciPost Physics, 2020 - scipost.org
We consider the problems of calculating the dynamical order parameter two-point function at
finite temperatures and the one-point function after a quantum quench in the transverse field …

[書籍][B] Algebraic Bethe ansatz and correlation functions: an advanced course

N Slavnov - 2022 - World Scientific
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 …

Bethe ansatz

F Göhmann - arxiv preprint arxiv:2309.02008, 2023 - arxiv.org
The term Bethe Ansatz stands for a multitude of methods in the theory of integrable models
in statistical mechanics and quantum field theory that were designed to study the spectra …

Quantum phase transition in a quantum Ising chain at nonzero temperatures

KL Zhang, Z Song - Physical Review Letters, 2021 - APS
We study the response of a thermal state of an Ising chain to a nonlocal non-Hermitian
perturbation, which coalesces the topological Kramer-like degeneracy in the ferromagnetic …

Low-temperature spectrum of the quantum transfer matrix of the XXZ chain in the massless regime

S Faulmann, F Göhmann, KK Kozlowski - arxiv preprint arxiv:2305.06679, 2023 - arxiv.org
The free energy per lattice site of a quantum spin chain in the thermodynamic limit is
determined by a singledominant'Eigenvalue of an associated quantum transfer matrix in the …