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Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions
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We describe a method to derive, from first principles, the long-distance asymptotic behavior of correlation functions of integrable models in the framework of the algebraic Bethe ansatz. We apply this approach to the longitudinal spin- spin correlation function of the XXZ Heisenberg spin-1/2 chain (with magnetic field) in the disordered regime as well as to the density-density correlation func- tion of the interacting one-dimensional Bose gas. At leading order, the results confirm the Luttinger liquid and conformal field theory predictions.
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Current operators in Bethe Ansatz and Generalized Hydrodynamics: An exact quantum/classical correspondence
An exact finite-volume formula for current expectation values in Bethe ansatz models is derived, proving the GHD current conjecture for interacting lattice systems.
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