Dark-State Polaritons in Single- and Double-$Λ$ Media

Details Dark-State Polaritons in Single- and Double-$Λ$ Media Dark-State Polaritons in Single- and Double-$Λ$ Media

2007-08-13

arxiv.org/abs/0708.1750v3

Phys. Rev. A 77, 013823 (2008)

Physics

Atomic Physics

7 pages, 6 figures

Scientific paper

10.1103/PhysRevA.77.013823

We derive the properties of polaritons in single-$\Lambda$ and double-$\Lambda$ media using a microscopic equation-of-motion technique. In each case, the polaritonic dispersion relation and composition arise from a matrix eigenvalue problem for arbitrary control field strengths. We show that the double-$\Lambda$ medium can be used to up- or down-convert single photons while preserving quantum coherence. The existence of a dark-state polariton protects this single-photon four-wave mixing effect against incoherent decay of the excited atomic states. The efficiency of this conversion is limited mainly by the sample size and the lifetime of the metastable state.

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