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arXiv · 1701.07816

Dynamic Generation of Light States with Discrete Symmetries

S. Cordero·E. Nahmad-Achar·O. Castaños·R. López-Peña
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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 ${\cal C}_n$. 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, $\vert \psi \rangle_{M_1}$, and $\vert \psi \rangle_{M_2}$, 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 $n=\vert M_1-M_2\vert$.

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S. Cordero, E. Nahmad-Achar, O. Castaños, R. López-Peña. 2017-01-26. Dynamic Generation of Light States with Discrete Symmetries. https://doi.org/10.1103/physreva.97.013808

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