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.
Publié le : 2003-09-29
Classification:
Condensed Matter - Strongly Correlated Electrons,
High Energy Physics - Theory,
Mathematical Physics,
Nonlinear Sciences - Exactly Solvable and Integrable Systems,
Physics - Atomic Physics
@article{0309680,
author = {Amico, Luigi and Hikami, Kazuhiro},
title = {Integrable spin-boson interaction in the Tavis-Cummings model from a
generic boundary twist},
journal = {arXiv},
volume = {2003},
number = {0},
year = {2003},
language = {en},
url = {http://dml.mathdoc.fr/item/0309680}
}
Amico, Luigi; Hikami, Kazuhiro. Integrable spin-boson interaction in the Tavis-Cummings model from a
generic boundary twist. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0309680/