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arXiv · 1304.6921

Mean-field optical bistability of two-level atoms in structured reservoirs

G. A. Prataviera·A. C. Yoshida·S. S. Mizrahi
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Abstract

We consider N driven two-level atoms interacting with a structured reservoir. By dressing the collective operators within a semiclassical approach, we derive a master equation and a mean-field single particle effective Hamiltonian. This Hamiltonian describes the optical bistability phenomenon occurring in the relation between an input electromagnetic field and the effective output generated by the N atoms. The dissipative part of the master equation and the effective single-particle Hamiltonian contain new terms due the reservoir structure of modes. In plotting the output field amplitude and phase, for a structured reservoir, as function of the input amplitude, one verifies the bistable behavior in both. We illustrate our results for two structured reservoirs: one having a Lorentzian shape for the distribution of modes, and the second is modeled as a photonic band-gap structure.

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G. A. Prataviera, A. C. Yoshida, S. S. Mizrahi. 2013-04-25. Mean-field optical bistability of two-level atoms in structured reservoirs. https://doi.org/10.1103/physreva.87.043831

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