2017/01/31 by Yan V. Fyodorov, Yan V Fyodorov, Suwun Suwunnarat +2 · 38 citations
Computer Science · Mathematics · Physics and Astronomy · #Chaotic #Chaotic scattering #Cold Atom Physics and Bose-Einstein Condensates #Limit (mathematics) #Matrix (chemical analysis) #Quantum Information and Cryptography #Quantum chaos #Quantum chaos and dynamical systems #Random matrix #Resonator #Scattering #cond-mat.dis-nn #cond-mat.mes-hall #math-ph #math.MP #nlin.CD
paper · pdf · doi:10.1088/1751-8121/aa793a
published in Journal of Physics A Mathematical and Theoretical 50(30), 30LT01 (Institute of Physics) · published version
openalex created_date 2017/01/26 · openalex publication_date 2017/06/13 · arxiv created 2017/06/29 · arxiv updated 2017/06/30 · openalex updated_date 2026/08/06
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.