Scattering and bound states of two polaritons in an array of coupled cavities

Abstract

We develop an analytical approach for calculating the scattering and bound states of two polaritons in a one-dimensional (1D) infinite array of coupled cavities, with each cavity coupled to a two-level system (TLS). In particular, we find that in such a system a contact interaction between two polaritons is induced by the nonlinearity of the Jaynes-Cummigs Hamiltonian. Using our approach we solve the two-polariton problem with zero center-of-mass momentum, and find 1D resonances. Our results are relevant to the transport of two polaritons, and are helpful for the investigation of many-body physics in a dilute gas of polaritons in a 1D cavity array.

7 pages, 3 figures

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Cited by in corpus (8)

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• Persistent currents by reservoir engineering
• Dynamics and correlations of a Bose-Einstein condensate of photons
• Exact $k$-body representation of the Jaynes-Cummings interaction in the dressed basis: Insight into many-body phenomena with light
• Equivalent spin-orbit interaction in two-polariton Jaynes-Cummings-Hubbard model
• Broadband photon-photon interactions mediated by cold atoms in a photonic crystal fiber
• Effect of Emitters on Quantum State Transfer in Coupled Cavity Arrays