Dark-state polaritons in single- and double-Λ media

We derive the properties of polaritons in single-Λ and double-Λ 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-Λ medium...

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Bibliographic Details
Main Authors: Chong, Yidong, Soljačić, Marin
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2013
Subjects:
Online Access:https://hdl.handle.net/10356/101302
http://hdl.handle.net/10220/18347
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Institution: Nanyang Technological University
Language: English
Description
Summary:We derive the properties of polaritons in single-Λ and double-Λ 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-Λ 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.