%0 Journal Article
%J Physical Review A
%D 2007
%T Photon storage in Lambda-type optically dense atomic media. I. Cavity model
%A Alexey V. Gorshkov
%A Axel Andre
%A Mikhail D. Lukin
%A Anders S. Sorensen
%X In a recent paper [Gorshkov et al., Phys. Rev. Lett. 98, 123601 (2007)], we used a universal physical picture to optimize and demonstrate equivalence between a wide range of techniques for storage and retrieval of photon wave packets in Lambda-type atomic media in free space, including the adiabatic reduction of the photon group velocity, pulse-propagation control via off-resonant Raman techniques, and photon-echo-based techniques. In the present paper, we perform the same analysis for the cavity model. In particular, we show that the retrieval efficiency is equal to C/(1+C) independent of the retrieval technique, where C is the cooperativity parameter. We also derive the optimal strategy for storage and, in particular, demonstrate that at any detuning one can store, with the optimal efficiency of C/(1+C), any smooth input mode satisfying T C gamma >> 1 and a certain class of resonant input modes satisfying T C gamma ~ 1, where T is the duration of the input mode and 2 gamma is the transition linewidth. In the two subsequent papers of the series, we present the full analysis of the free-space model and discuss the effects of inhomogeneous broadening on photon storage.
%B Physical Review A
%V 76
%8 2007/9/7
%G eng
%U http://arxiv.org/abs/quant-ph/0612082v2
%N 3
%! Phys. Rev. A
%R 10.1103/PhysRevA.76.033804