Fluctuations and Correlations in Scattering on a Resonance Coupled to a Chaotic Background

• Authors: D. Savin
• Languages of publication: EN

Abstracts

EN

We discuss and briefly overview 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. Using a statistical model based on random matrix theory, we obtain a number of nonperturbative results for various statistics of scattering characteristics. This includes the joint and marginal distributions of the reflection and transmission intensities and phases, which are derived exactly 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. In the latter case, we also consider the relevant approximations and their accuracy. As an application, we briefly discuss the statistics of the phase rigidity (or mode complexness) in such a scattering situation.

Keywords

EN

05.45.Mt; 03.65.Nk; 05.60.Gg; 24.60.-k

Discipline

• 05.45.Mt: Quantum chaos; semiclassical methods
• 03.65.Nk: Scattering theory
• 05.60.Gg: Quantum transport
• 24.60.-k: Statistical theory and fluctuations

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 132
• Issue: 6
• Pages: 1688-1694

Dates

published

2017-12

Contributors

author

D. Savin

• Department of Mathematics, Brunel University London, Uxbridge, UB8 3PH, United Kingdom

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Identifiers

DOI

10.12693/APhysPolA.132.1688