### Fluctuations in scattering on a simple mode with a complex environment

Mathematical Physics Seminar

9th February 2018, 2:00 pm – 3:00 pm

Howard House, 4th Floor Seminar Room

We discuss recent progress with studying fluctuations in scattering on a resonance state coupled to the background of many chaotic states. Such a problem arises naturally, e.g., when dealing with wave propagation in the presence of a complex environment. This talk will formulate and discuss a nonperturbative approach to study such fluctuations, taking into account also finite losses in the background. The approach is based on random matrix theory and the strength function formalism, yielding a number of exact results for various scattering statistics. This includes the joint and marginal distributions of the reflection and transmission intensities and phases, which are derived at arbitrary coupling to the background with finite absorption. The intensities and phases are found to exhibit highly non-trivial statistical correlations, which remain essential even in the limit of strong absorption. Potential applications in the context of reverberation chambers and microwave communications are also briefly discussed.

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