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The Dicke model as the contraction limit of a pseudo-deformed Richardson-Gaudin model
arXiv
Authors: Pieter W. Claeys, Stijn De Baerdemacker, Mario Van Raemdonck, Dimitri Van Neck
Year
2014
Paper ID
46377
Status
Preprint
Abstract Read
~2 min
Abstract Words
76
Citations
N/A
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.
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- 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.
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