New exact results on density matrix for XXX spin chain

Abstract

Using the fermionic basis we obtain the expectation values of all $\slt$-invariant and $C$-invariant local operators on 10 sites for the anisotropic six-vertex model on a cylinder with generic Matsubara data. This is equivalent to the generalised Gibbs ensemble for the XXX spin chain. In the case when the $\slt$ and $C$ symmetries are not broken this computation is equivalent to finding the entire density matrix up to 10 sites. As application, we compute the entanglement entropy without and with temperature, and compare the results with CFT predictions.

arXiv comment20 pages, 4 figures

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• Six-vertex model on a finite lattice: integral representations for nonlocal correlation functions
• Statistical mechanics of integrable quantum spin systems
• Integral formulas and antisymmetrization relations for the six-vertex model
• Nature of Spinons in 1D Spin Chains
• Density matrices in integrable face models
• Thermal form-factor expansion of the dynamical two-point functions of local operators in integrable quantum chains
• Fermion-current basis and correlation functions for the integrable spin 1 chain
• On correlation functions in models related to the Temperley-Lieb algebra
• Fourth-neighbour two-point functions of the XXZ chain and the Fermionic basis approach