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Random Matrix Theory Approach to Chaotic Coherent Perfect Absorbers.

Huanan Li1, Suwun Suwunnarat1, Ragnar Fleischmann2

  • 1Department of Physics, Wesleyan University, Middletown, Connecticut 06459, USA.

Physical Review Letters
|February 11, 2017
PubMed
Summary
This summary is machine-generated.

We use random matrix theory to study coherent perfect absorption (CPA) in complex, lossy systems. This approach reveals CPA conditions based on cavity eigenmodes and scattering, validated by numerical simulations.

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Area of Science:

  • Physics
  • Quantum Optics
  • Complex Systems

Background:

  • Coherent Perfect Absorption (CPA) is a phenomenon where a system completely absorbs incident light.
  • Understanding CPA in complex, lossy systems with intricate dynamics is crucial for applications in sensing and energy harvesting.
  • Previous studies often simplified system dynamics, limiting applicability to more realistic scenarios.

Purpose of the Study:

  • To investigate Coherent Perfect Absorption (CPA) in lossy systems exhibiting complex internal dynamics.
  • To develop a theoretical framework for predicting CPA conditions using random matrix theory.
  • To connect CPA characteristics to the underlying chaotic nature and scattering properties of the system.

Main Methods:

  • Employing random matrix theory to model the lossy system.
  • Expressing CPA loss strength (γ_CPA) and energy (E_CPA) in terms of system eigenmodes.
  • Analyzing the coupling between cavity eigenmodes and a finite number of scattering channels.

Main Results:

  • Derived expressions for CPA loss strength and energy based on isolated cavity eigenmodes.
  • Demonstrated that CPA conditions inherently capture the chaotic nature of the system.
  • Showcased the influence of scattering channel coupling on CPA characteristics.

Conclusions:

  • Random matrix theory provides a robust framework for analyzing CPA in complex, lossy systems.
  • The derived formulas offer insights into the relationship between system chaos, eigenmodes, and absorption.
  • Numerical validation using resonator networks and chaotic graphs confirms the theoretical predictions.