Integral representation of the density matrix of the XXZ chain at finite temperatures

Abstract

We present an integral formula for the density matrix of a finite segment of the infinitely long spin-1/2 XXZ chain. This formula is valid for any temperature and any longitudinal magnetic field.

arXiv comment12 pages, Latex

Cited by in corpus (60)

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• Density matrices for finite segments of Heisenberg chains of arbitrary length
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• Thermal form factors of the XXZ chain and the large-distance asymptotics of its temperature dependent correlation functions
• From the sinh-Gordon field theory to the one-dimensional Bose gas: exact local correlations and full counting statistics
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• Factorization of multiple integrals representing the density matrix of a finite segment of the Heisenberg spin chain
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• Low-temperature large-distance asymptotics of the transversal two-point functions of the XXZ chain
• GL(3)-Based Quantum Integrable Composite Models. II. Form Factors of Local Operators
• The algebraic Bethe ansatz for scalar products in SU(3)-invariant integrable models
• Short-distance thermal correlations in the XXZ chain
• Exact thermodynamic limit of short-range correlation functions of the antiferromagnetic $XXZ$-chain at finite temperatures
• 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
• Scalar products of Bethe vectors in models with $\mathfrak{gl}(2|1)$ symmetry 2. Determinant representation
• Long-time and large-distance asymptotic behavior of the current-current correlators in the non-linear Schrödinger model
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• Multiple Actions of the Monodromy Matrix in $\mathfrak{gl}(2|1)$-Invariant Integrable Models
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• The equilibrium landscape of the Heisenberg spin chain
• Correlation functions of the integrable isotropic spin-1 chain: algebraic expressions for arbitrary temperature
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• Statistical mechanics of integrable quantum spin systems
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• Scalar products in models with $GL(3)$ trigonometric $R$-matrix. General case
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