Integrable spin-boson interaction in the Tavis-Cummings model from a generic boundary twist
L. Amico () and
K. Hikami
The European Physical Journal B: Condensed Matter and Complex Systems, 2005, vol. 43, issue 3, 387-391
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 su(2)j, transforming it into the bosonic algebra. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:43:y:2005:i:3:p:387-391
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DOI: 10.1140/epjb/e2005-00068-8
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