A canonical transformation theory of the generalised Dicke model
- 1 January 1977
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 10 (1) , 89-97
- https://doi.org/10.1088/0305-4470/10/1/019
Abstract
The Hamiltonian of the generalised Dicke model is transformed to describe collective excitations above a ground state. When the wavelength of the field modes is considerably less than the system dimensions the condition for the existence of a phase transition in a lattice configuration differs from the long-wave result. The effect of atomic separation on certain ground state properties is examined and a short description of the excitation spectrum is given. For a dielectric crystal it is shown that the super-radiant phase transition is impossible in principle for up to 48 modes.Keywords
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