



01698nas a2200157   4500008004100000245008300041210006900124260001300193490000700206520119400213100002501407700001601432700002301448700002501471856004401496       2007                        eng d00aPhoton storage in Lambda-type optically dense atomic media. I. Cavity  model
0 aPhoton storage in Lambdatype optically dense atomic media I Cavi  c2007/9/70 v763 a  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.
1 aGorshkov, Alexey, V.1 aAndre, Axel1 aLukin, Mikhail, D.1 aSorensen, Anders, S.  uhttp://arxiv.org/abs/quant-ph/0612082v2