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. We show that the existence of cycles inside the graph leads to a large number of sharp resonances that dominate scattering. The latter resonances are then shown to be extremely sensitive to the nonlinearity and display multistability and hysteresis. This work provides a framework for the study of light propagation in complex optical networks.
Original language | English |
---|---|
Article number | 033831 |
Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
Volume | 83 |
Issue number | 3 |
DOIs | |
State | Published - 28 Mar 2011 |
Externally published | Yes |
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics