Hidden integrability of a quantum system with non-local coupling

Abstract
A system of polaritons interacting with a two-level atom placed within a frequency dispersive medium is proved to be integrable, despite a non-local effective polariton - polariton coupling. The two-polariton factorization of a many-polariton scattering process is hidden and is manifested only in the limit of large interpolariton separations.

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