Effective Three-Body Interactions in Jaynes-Cummings-Hubbard Systems
Srivatsa B Prasad, Andrew M Martin
SCIENTIFIC REPORTS | NATURE PUBLISHING GROUP | Published : 2018
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 Ξ-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 pha..View full abstract
The authors would like to thank A. L. C. Hayward for fruitful discussions regarding the Jaynes-Cummings-Hubbard model. S. B. P. was supported by an Australian Government Research Training Program Scholarship and by the University of Melbourne. A. M. M. would like to thank the Institute of Advanced Study (Durham University, U.K.) for hosting him during the preparation of this manuscript.