Chaotic scattering with direct processes: A generalization of Poisson's kernel for non-unitary scattering matrices - Condensed Matter > Mesoscale and Nanoscale PhysicsReport as inadecuate




Chaotic scattering with direct processes: A generalization of Poisson's kernel for non-unitary scattering matrices - Condensed Matter > Mesoscale and Nanoscale Physics - Download this document for free, or read online. Document in PDF available to download.

Abstract: The problem of chaotic scattering in presence of direct processes or promptresponses is mapped via a transformation to the case of scattering in absenceof such processes for non-unitary scattering matrices, \tilde S. In the absenceof prompt responses, \tilde S is uniformly distributed according to itsinvariant measure in the space of \tilde S matrices with zero average, < \tildeS > =0. In the presence of direct processes, the distribution of \tilde S isnon-uniform and it is characterized by the average < \tilde S > eq 0. Incontrast to the case of unitary matrices S, where the invariant measures of Sfor chaotic scattering with and without direct processes are related throughthe well known Poisson kernel, here we show that for non-unitary scatteringmatrices the invariant measures are related by the Poisson kernel squared. Ourresults are relevant to situations where flux conservation is not satisfied.For example, transport experiments in chaotic systems, where gains or lossesare present, like microwave chaotic cavities or graphs, and acoustic or elasticresonators.



Author: V. A. Gopar, M. Martinez-Mares, R. A. Mendez-Sanchez

Source: https://arxiv.org/







Related documents