Effective Three-Body Interactions in Jaynes-Cummings-Hubbard Systems
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Published on: September 14, 2018
Srivatsa B Prasad1, Andrew M Martin2
1School of Physics, The University of Melbourne, Parkville, 3010, Australia. srivatsa.badariprasad@unimelb.edu.au.
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 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 phase in the two-body attractive regime.
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