Effective Three-Body Interactions in Jaynes-Cummings-Hubbard Systems
arXiv:1710.02424 · doi:10.1038/s41598-018-33907-9
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 -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.
10 pages, 4 figures, accepted for publication in Scientific Reports; v3 - revised manuscript
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