The Dicke model as the contraction limit of a pseudo-deformed Richardson-Gaudin model

30th International Colloquium on Group Theoretical Methods in Physics

Claeys, Pieter W.^1,2 ; De Baerdemacker, Stijn^1,2 ; Van Raemdonck, Mario^1,2,3 ; Van Neck, Dimitri^1,2

Ghent University, Center for Molecular Modeling, Technologiepark 903, Ghent

9052, Belgium^1

Ghent University, Department of Physics and Astronomy, Proeftuinstraat 86, Ghent

9000, Belgium^2

Ghent University, Department of Inorganic and Physical Chemistry, Krijgslaan 281 (S3), Ghent

9000, Belgium^3

关键词: Bethe ansatz;    Dicke model;    Integrability;    Quasispin;    Richardson;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/597/1/012025/pdf
DOI  :  10.1088/1742-6596/597/1/012025

来源: IOP

【 摘 要 】

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.