Algebraic representation of correlation functions in integrable spin chains

Abstract

Taking the XXZ chain as the main example, we give a review of an algebraic representation of correlation functions in integrable spin chains obtained recently. We rewrite the previous formulas in a form which works equally well for the physically interesting homogeneous chains. We discuss also the case of quantum group invariant operators and generalization to the XYZ chain.

31 pages, no figure

References in corpus (13)

• Correlation functions of the XXZ Heisenberg spin-1/2 chain in a magnetic field
• Correlation Functions of the XXZ model for $\Delta <-1$
• Integral representations for correlation functions of the XXZ chain at finite temperature
• Quantum Spin Chains and Riemann Zeta Function with Odd Arguments
• Dynamical correlation functions of the XXZ spin-1/2 chain
• Emptiness Formation Probability and Quantum Knizhnik-Zamolodchikov Equation
• Large distance asymptotic behavior of the emptiness formation probability of the XXZ spin-1/2 Heisenberg chain
• Traces on the Sklyanin algebra and correlation functions of the eight-vertex model
• Third-neighbor and other four-point correlation functions of spin-1/2 XXZ chain
• Next Nearest-Neighbor Correlation Functions of the Spin-1/2 XXZ Chain at Critical Region
• Third Neighbor Correlators of Spin-1/2 Heisenberg Antiferromagnet
• Correlation functions of the spin-1/2 anti-ferromagnetic Heisenberg chain: exact calculation via the generating function
• On the algebraic Bethe Ansatz approach to the correlation functions of the XXZ spin-1/2 Heisenberg chain

Cited by in corpus (38)

• Quench dynamics and relaxation in isolated integrable quantum spin chains
• Supersymmetric vacua and Bethe ansatz
• Stationary behaviour of observables after a quantum quench in the spin-1/2 Heisenberg XXZ chain
• Correlation functions of the open XXZ chain I
• Generalized Gibbs Ensemble for Heisenberg Spin Chains
• Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions
• Current operators in Bethe Ansatz and Generalized Hydrodynamics: An exact quantum/classical correspondence
• Density matrices for finite segments of Heisenberg chains of arbitrary length
• Computation of static Heisenberg-chain correlators: Control over length and temperature dependence
• Current operators in integrable models: A review
• Factorization of the finite temperature correlation functions of the XXZ chain in a magnetic field
• Current operators in integrable spin chains: lessons from long range deformations
• Emptiness formation probability in the domain-wall six-vertex model
• $T\bar{T}$-deformation and long range spin chains
• Excited state correlations of the finite Heisenberg chain
• Worldsheet Form Factors in AdS/CFT
• Form factors of integrable Heisenberg (higher) spin chains
• Universal R-matrix and functional relations
• Long-time and large-distance asymptotic behavior of the current-current correlators in the non-linear Schrödinger model
• Density matrix elements and entanglement entropy for the spin-1/2 XXZ chain at $\Delta$=1/2
• Finite temperature correlation functions from discrete functional equations
• Algebraic Bethe Ansatz approach to form factors and correlation functions of the cyclic eight-vertex solid-on-solid model
• Long-distance and large-time asymptotic behaviour of dynamic correlation functions in the massless regime of the XXZ spin-1/2 chain
• Six-vertex model on a finite lattice: integral representations for nonlocal correlation functions
• Correlation functions for open XXZ spin 1/2 quantum chains with unparallel boundary magnetic fields
• Correlation functions by Separation of Variables: the XXX spin chain
• Generalized emptiness formation probability in the six-vertex model
• Ground-state phase diagram for a system of interacting, $D(D_3)$ non-Abelian anyons
• Adjacent Spin Operator Dynamical Structure Factor of the S=1/2 Heisenberg Chain
• Current mean values in the XYZ model
• All correlation functions of the open XXX spin 1/2 quantum chains for unparallel boundary magnetic fields with one constraint
• Integral formulas and antisymmetrization relations for the six-vertex model
• The propagator of the finite XXZ spin-$\frac{1}{2}$ chain
• On scalar products and form factors by Separation of Variables: the antiperiodic XXZ model
• On correlation functions for the open XXZ chain with non-longitudinal boundary fields : the case with a constraint
• Correlation function for a periodic box-ball system
• On correlation functions in models related to the Temperley-Lieb algebra
• On one-point functions of descendants in sine-Gordon model