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Theoretical tools for quantum optics in structured media

D. Mogilevtsev, S. Kilin

We reviewed modern methods and theoretical tools for description of a quantum system interaction with reservoirs. A particular attention is given to electromagnetic field reservoirs of structured media, such as photonic crystals. We describe ways to model a system-reservoir interaction under conditions when the reservoir correlation time cannot be assumed negligibly small, and non-Markovian effects are significant. We address ways to obtain exact and approximate solutions for the complete system plus reservoir problem, and also methods to obtain and solve master equations for non-Markovian problems.

Progress in Optics, submitted in 2008
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