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

P. Claeys, S. De Baerdemacker, M. Van Raemdonck, D. Van Neck
Journal of Physics Conference Series
597, UNSP 012025


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.

Open Access version available at UGent repository