Quantum Stochastic Absorption

dc.creatorJoshi, Sandeep K.
dc.creatorSahoo, Debendranath
dc.creatorJayannavar, A. M.
dc.date1999-09-22
dc.date.accessioned2026-07-07T03:14:37Z
dc.date.available2026-07-07T03:14:37Z
dc.descriptionWe report a detailed and systematic study of wave propagation through a stochastic absorbing random medium. Stochastic absorption is modeled by introducing an attenuation constant per unit length $α$ in the free propagation region of the one-dimensional disordered chain of delta function scatterers. The average value of the logarithm of transmission coefficient decreases linearly with the length of the sample. The localization length is given by $ξ~ = ~ ξ_w ξ_α/ (ξ_w + ξ_α)$, where $ξ_w$ and $ξ_α$ are the localization lengths in the presence of only disorder and of only absorption respectively. Absorption does not introduce any additional reflection in the limit of large $α$, i.e., reflection shows a monotonic decrease with $α$ and tends to zero in the limit of $α\to\infty$, in contrast to the behavior observed in case of coherent absorption. The stationary distribution of reflection coefficient agrees well with the analytical results obtained within random phase approximation (RPA) in a larger parameter space. We also emphasize the major differences between the results of stochastic and coherent absorption.
dc.descriptionRevTex, 6 pages,2 column format, 9 .eps figures included
dc.identifierhttps://arxiv.org/abs/cond-mat/9909327
dc.identifierhttp://arxiv.org/abs/cond-mat/9909327
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29739
dc.subjectDisordered Systems and Neural Networks
dc.titleQuantum Stochastic Absorption
dc.typetext

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