Dynamical correlation functions of the XXZ model at finite temperature

Abstract

Combining a lattice path integral formulation for thermodynamics with the solution of the quantum inverse scattering problem for local spin operators, we derive a multiple integral representation for the time-dependent longitudinal correlation function of the spin-1/2 Heisenberg XXZ chain at finite temperature and in an external magnetic field. Our formula reproduces the previous results in the following three limits: the static, the zero-temperature and the XY limits.

22 pages, v4: typos corrected, published version

References in corpus (25)

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• Correlation Functions of the XXZ model for $\Delta <-1$
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• Transition rates via Bethe ansatz for the spin-1/2 Heisenberg chain
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Cited by in corpus (23)

• Exact large-scale correlations in integrable systems out of equilibrium
• Dynamical free energy and the Loschmidt-echo for a class of quantum quenches in the Heisenberg spin chain
• Thermal form-factor approach to dynamical correlation functions of integrable lattice models
• A note on the spin-1/2 XXZ chain concerning its relation to the Bose gas
• On the thermodynamic limit of form factor expansions of dynamical correlation functions in the massless regime of the XXZ spin $1/2$ chain
• Exact real-time longitudinal correlation functions of the massive XXZ chain
• Finite Temperature Dynamical Structure Factor of the Heisenberg-Ising Chain
• Equilibrium dynamics of the XX chain
• Derivation of Matrix Product Ansatz for the Heisenberg Chain from Algebraic Bethe Ansatz
• 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
• Correlation lengths of the repulsive one-dimensional Bose gas
• Algebraic Bethe Ansatz approach to form factors and correlation functions of the cyclic eight-vertex solid-on-solid model
• A thermal form factor series for the longitudinal two-point function of the Heisenberg-Ising chain in the antiferromagnetic massive regime
• High-temperature analysis of the transverse dynamical two-point correlation function of the XX quantum-spin chain
• The Floquet Baxterisation
• Finite temperature spin diffusion in the Hubbard model in the strong coupling limit
• Form factors and correlation functions of an interacting spinless fermion model
• The propagator of the finite XXZ spin-$\frac{1}{2}$ chain
• Thermal form-factor expansion of the dynamical two-point functions of local operators in integrable quantum chains
• Space-like asymptotics of the thermal two-point functions of the XXZ spin-1/2 chain
• Quantum Group U_q(sl(2)) Symmetry and Explicit Evaluation of the One-Point Functions of the Integrable Spin-1 XXZ Chain
• Correlation functions of an interacting spinless fermion model at finite temperature