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arXiv:2208.02197 · Journal of Physics A Mathematical and Theoretical

Algebraic Bethe ansatz for Q-operators of the open XXX Heisenberg chain with arbitrary spin

Rouven Frassek, István M. Szécsényi

Published Nov 24, 2022• 1 citation

Abstract

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.

DOI: 10.1088/1751-8121/aca5d3

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