Variational Study of $\lambda$- and $N$-Atomic Configurations Interacting with an Electromagnetic Field of $2$ Modes

Abstract

A study of the $\lambda$- and $N$-atomic configurations under dipolar interaction with $2$ modes of electromagnetic radiation is presented. The corresponding quantum phase diagrams are obtained by means of a variational procedure. Both configurations exhibit normal and collective (super-radiant) regimes. While the latter in the $\lambda$-configuration divides itself into $2$ subregions, corresponding to each of the modes, that in the $N$-configuration may be divided into $2$ or $3$ subregions depending on whether the field modes divide the atomic system into $2$ separate subsystems or not. Our variational procedure compares well with the exact quantum solution. The properties of the relevant field and matter observables are obtained.

8 pages, 7 figures, 4 tables

References in corpus (4)

• Superradiant phase transition in a model of three-level-lambda systems interacting with two bosonic modes
• Polychromatic phase diagram for $n$-level atoms interacting with $\ell$ modes of electromagnetic field
• Quantum phase transitions of three-level atoms interacting with a one-mode electromagnetic field
• Symmetry Adapted Coherent States for Three-Level Atoms Interacting with One-Mode Radiation

Cited by in corpus (8)

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• Quantum phases of a three-level matter-radiation interaction model using $SU(3)$ coherent states with different cooperation numbers
• Entropy of entanglement between quantum phases of a three-level matter-radiation interaction model
• Quantum phase transition of two-level atoms interacting with a finite radiation field
• Effect of the Atomic Dipole-Dipole Interaction on the Phase Diagrams of Field-Matter Interactions I: Variational procedure
• Lieb-Mattis ordering theorem of electronic energy levels in the thermodynamic limit