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

Frassek, Rouven ; Szécsényi, István M

Journal of physics. A, Mathematical and theoretical, 2022-12, Vol.55 (50), p.505201 [Periódico revisado por pares]

IOP Publishing

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  • Título:
    Algebraic Bethe ansatz for Q-operators of the open XXX Heisenberg chain with arbitrary spin
  • Autor: Frassek, Rouven ; Szécsényi, István M
  • Assuntos: Bethe ansatz ; Heisenberg XXX spin chain ; higher spin ; Q-operator
  • É parte de: Journal of physics. A, Mathematical and theoretical, 2022-12, Vol.55 (50), p.505201
  • Notas: JPhysA-118032.R1
  • Descrição: 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.
  • Editor: IOP Publishing
  • Idioma: Inglês
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  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

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