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We investigate an atomic $\Lambda$-system with one transition coupled to alaser field and a flat continuum of vacuum modes and the other transitioncoupled to field modes near the edge of a photonic band gap. The systemrequires simultaneous treatment of Markovian and non-Markovian dissipationprocesses, but the photonic band gap continuum can not be eliminated within adensity matrix treatment. Instead we propose a formalism based on Monte-Carlowavefunctions, and we present results relevant to an experimentalcharacterization of a structured continuum.Comment: 4 pages, 4 figures. To appear in Phys. Rev. Let

Fluorescence into Flat and Structured Radiation Continua: An Atomic Density Matrix without a Master Equation