Eur. Phys. J. B 43, 387-391 (2005)
https://doi.org/10.1140/epjb/e2005-00068-8

Integrable spin-boson interaction in the Tavis-Cummings model from a generic boundary twist

¹ Dipartimento di Metodologie Fisiche e Chimiche (DMFCI), Universitá di Catania, viale A. Doria 6, 95125 Catania, Italy MATIS & Istituto Nazionale per la Fisica della Materia, Unitá di Catania, Italy
² Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7-3-1, Bunkyo, 113-0033 Tokyo, Japan

Corresponding author: ^a lamico@dmfci.unict.it

Received: 9 September 2004
Revised: 3 December 2004
Published online: 15 March 2005

Abstract

We construct models describing interaction between a spin s and a single bosonic mode using a quantum inverse scattering procedure. The boundary conditions are generically twisted by generic matrices with both diagonal and off-diagonal entries. The exact solution is obtained by mapping the transfer matrix of the spin-boson system to an auxiliary problem of a spin-j coupled to the spin-s with general twist of the boundary condition. The corresponding auxiliary transfer matrix is diagonalized by a variation of the method of Q-matrices of Baxter. The exact solution of our problem is obtained applying certain large-j limit to , transforming it into the bosonic algebra.