Stationary scattering from a nonlinear network

Preprint

10 November 2010

preprint
Published by arXiv in arXiv

Abstract

Transmission through a complex network of nonlinear one-dimensional leads is discussed by extending the stationary scattering theory on quantum graphs to the nonlinear regime. The resonances which dominate linear scattering are shown to be extremely sensitive to the nonlinearity and display multi-stability and hysteresis. This work provides a framework for the study of light propagation in complex optical networks, and for studying universal properties of Bose-Einstein Condensates (BEC) confined in chaotic traps.

Keywords

STATIONARY SCATTERING
NETWORK TRANSMISSION
SCATTERING THEORY
NONLINEAR NETWORK
OPTICAL NETWORKS
QUANTUM GRAPHS
DISPLAY MULTI
HYSTERESIS

All Related Versions

Version 1, 2010-11-10, ArXiv
Version 2, 2011-01-04, ArXiv
Published version: Physical Review A, 83 (3).

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