Abstract
The Jaynes-Cummings-Hubbard model (JCHM) has emerged as a fundamental model at the interface of quantum optics and condensed matter physics. It describes strongly correlated photons in a coupled qubit-cavity array and predicts a superfluid-Mott insulator transition of polaritons under quasi-equilibrium conditions. Here, we review recent analytical as well as numerical results for the phase diagram, elementary excitations and critical exponents of the JCHM and compare them to closely related models such as the Bose-Hubbard and the Dicke model. We comment on the fate of these results in open dissipative systems and outline schemes for their experimental verifiability.
Keywords
- Conversion Mode
- Elementary Excitation
- Mott Phase
- Superfluid Density
- Atomic Limit
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Acknowledgements
We thank Martin Hohenadler, Markus Aichhorn, Jonathan Keeling and Lode Pollet for valuable discussions. This work was supported by a Ambizione award (S.S.) of the Swiss National Science Foundation.
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Schmidt, S., Blatter, G. (2017). Phase Diagram and Excitations of the Jaynes-Cummings-Hubbard Model. In: Angelakis, D. (eds) Quantum Simulations with Photons and Polaritons. Quantum Science and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-52025-4_2
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