Dynamic Generation of Light States with Discrete Symmetries

Abstract

A dynamic procedure is established within the generalised Tavis-Cummings model to generate light states with discrete point symmetries, given by the cyclic group ${\mathcal{C}}_n$. We consider arbitrary dipolar coupling strengths of the atoms with a one-mode electromagnetic field in a cavity. The method uses mainly the matter-field entanglement properties of the system, which can be extended to any number of $3$-level atoms. An initial state constituted by the superposition of two states with definite total excitation numbers, $|\psi {⟩}_{M_1}$, and $|\psi {⟩}_{M_2}$, is considered. It can be generated by the proper selection of the time-of-flight of an atom passing through the cavity. We demonstrate that the resulting Husimi function of the light is invariant under cyclic point transformations of order $n=|M_1-M_2|$.

24 pages, 7 figures

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Cited by in corpus (2)

• Symplectic tomographic probability distribution of crystallized Schrödinger cat states
• General superposition states associated to the rotational and inversion symmetries in the phase space