Scattering and bound states of two polaritons in an array of coupled cavities
Quantum Physics
2015-06-11 v1 Other Condensed Matter
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.
Keywords
Cite
@article{arxiv.1210.3153,
title = {Scattering and bound states of two polaritons in an array of coupled cavities},
author = {Chuan-zhou Zhu and Shimpei Endo and Pascal Naidon and Peng Zhang},
journal= {arXiv preprint arXiv:1210.3153},
year = {2015}
}
Comments
7 pages, 3 figures