Abstract
We employ the random matrix theory framework to calculate the density of zeroes of an M-channel scattering matrix describing a chaotic cavity with a single localized absorber embedded in it. Our approach extends beyond the weak-coupling limit of the cavity with the channels and applies for any absorption strength. Importantly it provides an insight for the optimal amount of loss needed to realize a chaotic coherent perfect absorbing trap. Our predictions are tested against simulations for two types of traps: a complex network of resonators and quantum graphs.
Highlights
Citation for published version (APA): Fyodorov, Y
We have considered a small window around E ≈ 0 and we have collected at least 5000 S-matrix zeroes for statistical processing
We have investigated the statistics of complex zeroes of a scattering matrix describing a chaotic cavity with a single point-like lossy defect
Summary
Citation for published version (APA): Fyodorov, Y. Distribution of zeros of the S-matrix of chaotic cavities with localized losses and Coherent Perfect Absorption: non-perturbative results.
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