Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 50, Issue 30, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/aa793a
Keywords
random matrix theory; chaotic quantum scattering; S-matrix zeroes; resonances
Categories
Funding
- EPSRC [EP/N009436/1]
- AFOSR MURI [FA9550-14-1-0037]
- NSF [EFMA-1641109]
- EPSRC [EP/N009436/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/N009436/1] Funding Source: researchfish
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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.
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