Couplingn-level Atoms withl-modes of Quantised Light in a Resonator

Octavio Castaños, Sergio Cordero, Eduardo Nahmad-Achar, Ramón López–Peña · Journal of Physics Conference Series · 2016

We study the quantum phase transitions associated to the Hamiltonian of a system of n -level atoms interacting with l modes of electromagnetic radiation in a resonator. The quantum phase diagrams are determined in analytic form by means of a variational procedure where the test function is constructed in terms of a tensorial product of coherent states describing the matter and the radiation field. We demonstrate that the system can be reduced to a set of Dicke models.

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