# Transmission through a simple mode on a leaky chaotic background

**Speaker:** Dmitry Savin (Department of Mathematics, Brunel University London)

**Title:** Transmission through a simple mode on a leaky chaotic background

**Abstract:** Scattering on a simple resonant state coupled to a complicated background is a typical problem for mesoscopic quantum many-body systems as well as for wave propagation in the presence of a complex environment. On average, the coupling to background states leads to an effective damping of such a simple mode, expressed by the so-called “spreading” width. In this talk, I will formulate and discuss an non-perturbative approach to study fluctuations in scattering, taking into account also finite dissipative losses in the background. Modelling the latter by random matrix theory, we employ the formalism of strength functions, adopted from nuclear physics, to derive exact expressions for the distribution functions of transmission and reflection. In particular, we discuss the sharp disappearance of an established transmission signal when the spreading width exceeds the natural width of the simple mode. Potential applications in the context of reverberation chambers and microwave communications are also briefly discussed.