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Distribution of zeros of the S-matrix of chaotic cavities with localized losses and Coherent Perfect Absorption: non-perturbative results.

Research output: Contribution to journalArticle

Yan V Fyodorov, Suwun Suwunnarat, Tsampikos Kottos

Original languageEnglish
JournalJournal Of Physics A-Mathematical And Theoretical
Volume50
Issue number30
Early online date13 Jun 2017
DOIs
Publication statusE-pub ahead of print - 13 Jun 2017

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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 (CPA) trap. Our predictions are tested against simulations for two types of traps: a complex network of resonators and quantum graphs.

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