Effective Three-Body Interactions in Jaynes-Cummings-Hubbard Systems

Srivatsa B. Prasad; Andrew M. Martin

doi:10.1038/s41598-018-33907-9

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arXiv · 1710.02424

Effective Three-Body Interactions in Jaynes-Cummings-Hubbard Systems

Srivatsa B. Prasad·Andrew M. Martin

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Abstract

A generalisation of the Jaynes-Cummings-Hubbard model for coupled-cavity arrays is introduced, where the embedded two-level system in each cavity is replaced by a $\Xi$-type three-level system. We demonstrate that the resulting effective polariton-polariton interactions at each site are both two-body and three-body. By tuning the ratio of the two transition dipole matrix elements, we show that the strength and sign of the two-body interaction can be controlled whilst maintaining a three-body repulsion. We then proceed to demonstrate how different two-body and three-body interactions alter the mean field superfluid-Mott insulator phase diagram, with the possible emergence of a pair superfluid phase in the two-body attractive regime.

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BibTeX RIS

Srivatsa B. Prasad, Andrew M. Martin. 2017-10-06. Effective Three-Body Interactions in Jaynes-Cummings-Hubbard Systems. https://doi.org/10.1038/s41598-018-33907-9

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