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Quantum Integrals of Motion for the Heisenberg Spin Chain

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arxiv hep-th/9403149 v1 pith:M2ZWCZNA submitted 1994-03-24 hep-th cond-mat

Marek P. Grabowski , Pierre Mathieu This is my paper · ORCID
classification hep-thcond-mat
keywords integralsspinchainheisenbergmotionquantumantiferromagneticbriefly
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abstract

An explicit expression for all the quantum integrals of motion for the isotropic Heisenberg $s=1/2$ spin chain is presented. The conserved quantities are expressed in terms of a sum over simple polynomials in spin variables. This construction is direct and independent of the transfer matrix formalism. Continuum limits of these integrals in both ferrromagnetic and antiferromagnetic sectors are briefly discussed.

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  1. Current operators in Bethe Ansatz and Generalized Hydrodynamics: An exact quantum/classical correspondence

    cond-mat.stat-mech 2019-08 conditional novelty 8.0 of 10

    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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