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

Luigi Amico·Kazuhiro Hikami
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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.

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Luigi Amico, Kazuhiro Hikami. 2004-12-14. Integrable spin-boson interaction in the Tavis-Cummings model from a generic boundary twist. https://doi.org/10.1140/epjb%2Fe2005-00068-8

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