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Intense laser pulses have the capability to couple resonances in the continuum, leading to the formation of a split pair of autoionizing polaritons. These polaritons can exhibit extended lifetimes due to interference between radiative and Auger decay channels. In this work, we show how an extension of the Jaynes-Cummings model to autoionizing states quantitatively reproduces the observed phenomenology. This extended model allows us to study how the dressing laser parameters can be tuned to control the ionization rate of the polariton multiplet.

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