Correlation functions of the integrable isotropic spin-1 chain: algebraic expressions for arbitrary temperature

Abstract

We derive algebraic formulas for the density matrices of finite segments of the integrable su(2) isotropic spin-1 chain in the thermodynamic limit. We give explicit results for the 2 and 3 site cases for arbitrary temperature T and zero field. In the zero temperature limit the correlation functions are given in elementary form in terms of Riemann's zeta function at even integer arguments.

37 pages, 5 figures, regular article. arXiv admin note: text overlap with arXiv:1008.4440

References in corpus (8)

• Hidden Grassmann Structure in the XXZ Model II: Creation Operators
• Hidden Grassmann structure in the XXZ model
• Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions
• Hidden Grassmann Structure in the XXZ Model III: Introducing Matsubara direction
• A note on the spin-1/2 XXZ chain concerning its relation to the Bose gas
• Finite temperature correlation functions from discrete functional equations
• Correlation functions of the integrable isotropic spin-1 chain at finite temperature
• From multiple integrals to Fredholm determinants

Cited by in corpus (10)

• Exact steady states for quantum quenches in integrable Heisenberg spin chains
• Quasi-local conserved charges and spin transport in spin-$1$ integrable chains
• Correlation functions of the integrable $SU(n)$ spin chain
• Correlation functions of the integrable spin-s chain
• Current mean values in the XYZ model
• Creation operators for the Fateev-Zamolodchikov spin chain
• One point functions of fermionic operators in the Super Sine Gordon model
• Matrix product states for $su(2)$ invariant quantum spin chains
• Fermion-current basis and correlation functions for the integrable spin 1 chain
• On correlation functions in models related to the Temperley-Lieb algebra