The Dicke model as the contraction limit of a pseudo-deformed Richardson-Gaudin model
arXiv:1411.5199 · doi:10.1088/1742-6596/597/1/012025
Abstract
The Dicke model is derived in the contraction limit of a pseudo-deformation of the quasispin algebra in the su(2)-based Richardson-Gaudin models. Likewise, the integrability of the Dicke model is established by constructing the full set of conserved charges, the form of the Bethe Ansatz state, and the associated Richardson-Gaudin equations. Thanks to the formulation in terms of the pseudo-deformation, the connection from the su(2)-based Richardson-Gaudin model towards the Dicke model can be performed adiabatically.
Contribution for the 30th International Colloquium on Group Theoretical Methods in Physics (Group30) in Ghent (Belgium)