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arXiv · 1210.3153

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

Chuan-zhou Zhu·Shimpei Endo·Pascal Naidon·Peng Zhang
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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.

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Chuan-zhou Zhu, Shimpei Endo, Pascal Naidon, Peng Zhang. 2012-10-11. Scattering and bound states of two polaritons in an array of coupled cavities. https://doi.org/10.1007/s00601-012-0562-4

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