TY - JOUR
T1 - Distribution of zeros of the S-matrix of chaotic cavities with localized losses and Coherent Perfect Absorption: non-perturbative results.
AU - Fyodorov, Yan V
AU - Suwunnarat, Suwun
AU - Kottos, Tsampikos
PY - 2017/6/13
Y1 - 2017/6/13
N2 - 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.
AB - 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.
U2 - 10.1088/1751-8121/aa793a
DO - 10.1088/1751-8121/aa793a
M3 - Article
VL - 50
JO - Journal Of Physics A-Mathematical And Theoretical
JF - Journal Of Physics A-Mathematical And Theoretical
SN - 1751-8113
IS - 30
ER -