Finite temperature density matrix and two-point correlations in the antiferromagnetic XXZ chain

Abstract

We derive finite temperature versions of integral formulae for the two-point correlation functions in the antiferromagnetic XXZ chain. The derivation is based on the summation of density matrix elements characterizing a finite chain segment of length $m$. On this occasion we also supply a proof of the basic integral formula for the density matrix presented in an earlier publication.

35 pages

References in corpus (8)

• Integral representations for correlation functions of the XXZ chain at finite temperature
• Integral representation of the density matrix of the XXZ chain at finite temperatures
• Integrability of quantum chains: theory and applications to the spin-1/2 $XXZ$ chain
• Exact thermodynamic limit of short-range correlation functions of the antiferromagnetic $XXZ$-chain at finite temperatures
• High temperature expansion of emptiness formation probability for isotropic Heisenberg chain
• On the spin-spin correlation functions of the XXZ spin-1/2 infinite chain
• Fifth-neighbor spin-spin correlator for the anti-ferromagnetic Heisenberg chain
• Emptiness formation probability at finite temperature for the isotropic Heisenberg chain

Cited by in corpus (15)

• Correlation functions of the open XXZ chain I
• Quench action approach for releasing the Néel state into the spin-1/2 XXZ chain
• Density matrices for finite segments of Heisenberg chains of arbitrary length
• Factorization of the finite temperature correlation functions of the XXZ chain in a magnetic field
• Factorization of multiple integrals representing the density matrix of a finite segment of the Heisenberg spin chain
• Exact thermodynamic limit of short-range correlation functions of the antiferromagnetic $XXZ$-chain at finite temperatures
• Finite Temperature Dynamical Structure Factor of the Heisenberg-Ising Chain
• On the physical part of the factorized correlation functions of the XXZ chain
• Equilibrium dynamics of the XX chain
• Dynamical correlation functions of the XXZ model at finite temperature
• Correlation functions of the integrable higher-spin XXX and XXZ spin chains through the fusion method
• Correlation functions of the integrable isotropic spin-1 chain at finite temperature
• Form factors and correlation functions of an interacting spinless fermion model
• Properties of linear integral equations related to the six-vertex model with disorder parameter
• Correlation functions of an interacting spinless fermion model at finite temperature