Quantum theory of photonic crystal polaritons

Details Quantum theory of photonic crystal polaritons Quantum theory of photonic crystal polaritons

2004-02-09

arxiv.org/abs/cond-mat/0402246v1

physica status solidi (c) vol. 1, issue 3, pp. 446-449 (2004)

Physics

Condensed Matter

Soft Condensed Matter

Proceedings of the "8th Conference on Optics of Excitons in Confined Systems" (OECS-8), 15-17 September 2003, Lecce (Italy)

Scientific paper

10.1002/pssc.200304010

We formulate a full quantum mechanical theory of the interaction between electromagnetic modes in photonic crystal slabs and quantum well excitons embedded in the photonic structure. We apply the formalism to a high index dielectric layer with a periodic patterning suspended in air. The strong coupling between electromagnetic modes lying above the cladding light line and exciton center of mass eigenfunctions manifests itself with the typical anticrossing behavior. The resulting band dispersion corresponds to the quasi-particles coming from the mixing of electromagnetic and material excitations, which we call photonic crystal polaritons. We compare the results obtained by using the quantum theory to variable angle reflectance spectra coming from a scattering matrix approach, and we find very good quantitative agreement.

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