An exact finite-volume formula for current expectation values in Bethe ansatz models is derived, proving the GHD current conjecture for interacting lattice systems.
Quantum Integrals of Motion for the Heisenberg Spin Chain
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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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cond-mat.stat-mech 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
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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.