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Effective Three-Body Interactions in Jaynes-Cummings-Hubbard Systems
Srivatsa B Prasad1, Andrew M Martin2
1School of Physics, The University of Melbourne, Parkville, 3010, Australia. srivatsa.badariprasad@unimelb.edu.au.
Scientific Reports
|November 4, 2018
Summary
This study introduces a generalized Jaynes-Cummings-Hubbard model with three-level systems, revealing tunable two-body and three-body polariton interactions. These interactions influence phase diagrams, potentially enabling pair superfluidity.
Area of Science:
- Quantum optics
- Condensed matter physics
- Cavity quantum electrodynamics
Background:
- The Jaynes-Cummings-Hubbard model describes light-matter interactions in coupled cavities.
- Understanding polariton interactions is crucial for quantum simulations and devices.
Purpose of the Study:
- To generalize the Jaynes-Cummings-Hubbard model using Ξ-type three-level systems.
- To investigate the nature and tunability of effective polariton-polariton interactions.
- To explore the impact of these interactions on quantum phase diagrams.
Main Methods:
- Theoretical generalization of the Jaynes-Cummings-Hubbard model.
- Analysis of effective polariton-polariton interactions (two-body and three-body).
- Investigation of mean-field superfluid-Mott insulator phase diagrams.
Main Results:
- Effective polariton-polariton interactions are shown to be both two-body and three-body.
- Tunable two-body interaction strength and sign are achieved by adjusting transition dipole matrix elements.
- A three-body repulsion is consistently maintained.
- Alterations to the superfluid-Mott insulator phase diagram are observed, including the potential for pair superfluidity.
Conclusions:
- The generalized model provides a platform for engineering complex polariton interactions.
- Tunable interactions offer control over quantum phases in coupled-cavity systems.
- The emergence of pair superfluidity highlights novel quantum phenomena accessible through this model.
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