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We have experimentally observed the dynamics of a single polariton and twopolaritons in a two-ion chain. By driving two trapped ions at a motionalblue-sideband transition, we realize the anti-Jaynes-Cummings-Hubbard model.When a single polariton exists in a trapped-ion chain, the polariton hopsbetween the ion sites. On the other hand, when there are single polaritons ateach ion site, the hopping of the polaritons is suppressed because of thepolariton-polariton interaction induced by the nonlinearity of theanti-Jaynes-Cummings interaction, thereby realizing the blockade of polaritonhopping in the anti-Jaynes-Cummings-Hubbard model with trapped ions. Our workis a step towards the development of a trapped-ion based quantum simulator forstrongly interacting polaritonic systems.

Polariton blockade in the Jaynes-Cummings-Hubbard model with trapped ions