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This paper provides an entropy analysis to resonant and short pulses propagation in four-level atomic medium. As an example, we take D1 transition in rubidium 87 Rb atoms including hyperfine structure. We show how to construct the time dependent Bloch-metric for each optical transition in the Liouville space. Furthermore, we attempt to relate local stabilization of the pulse area to the distribution of the space-entropy.

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Abstract:We provide an entropy analysis for light storage and light retrieval. In this analysis, entropy extraction and reduction in a typical light storage experiment are identified. The spatiotemporal behavior of entropy is presented for D 1 transition in cold sodium atoms. The governing equations are the reduced Maxwell field equations and the Liouville-von Neumann equation for the density matrix of the dressed atom.

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