Quantum phase transitions of three-level atoms interacting with a one-mode electromagnetic field

Abstract

We apply the energy surface method to study a system of Na three-level atoms interacting with a one-mode radiation field in the Ξ, Λand V configurations. We obtain an estimation of the ground-state energy, the expectation value of the total number of excitations, and the separatrix of the model in the interaction parameter space, and compare the results with the exact solutions. We have first and second-order phase transitions, except for the V configuration which only presents second-order phase-transitions.

5 pp., 8 figures

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• Symmetry Adapted Coherent States for Three-Level Atoms Interacting with One-Mode Radiation
• Tricritical Dicke model with and without dissipation
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• Quantum phases of a three-level matter-radiation interaction model using $SU(3)$ coherent states with different cooperation numbers
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• Quantum phase transition of two-level atoms interacting with a finite radiation field