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Algebraic Bethe ansatz for Q-operators of the open XXX Heisenberg chain with arbitrary spin (2208.02197v1)
Published 3 Aug 2022 in math-ph, cond-mat.stat-mech, hep-th, math.MP, and nlin.SI
Abstract: In this note we construct Q-operators for the spin s open Heisenberg XXX chain with diagonal boundaries in the framework of the quantum inverse scattering method. Following the algebraic Bethe ansatz we diagonalise the introduced Q-operators using the fundamental commutation relations. By acting on Bethe off-shell states and explicitly evaluating the trace in the auxiliary space we compute the eigenvalues of the Q-operators in terms of Bethe roots and show that the unwanted terms vanish if the Bethe equations are satisfied.
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