Evolution of collective N atom states in single photon superradiance

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Svidzinsky, Anatoly A.
Scully, Marlan O.
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Abstract
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We present analytical solutions for the evolution of collective states of N atoms. On the one hand is a (timed) Dicke state prepared by absorption of a single photon and exhibiting superradiant decay. This is in strong contrast to evolution of a symmetric Dicke state which is trapped for large atomic clouds. We show that virtual processes yield a small effect on the evolution of the rapidly decaying timed Dicke state. However, they change the long time dynamics from exponential decay into a power-law behavior which can be observed experimentally. For trapped states virtual processes are much more important and provide new decay channels resulting in a slow decay of the otherwise trapped state.
Comment: 5 pages, 4 figures
Keywords
Physics - Optics, Physics - Atomic Physics
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