Abstract
We develop an asymptotic analysis of nonlinear energy propagation in lattices subject to slowly varying perturbations, investigating symmetry breaking and its effects. We derive a general set of evolution equations and study them by using catastrophe theory, revealing a wealth of system dynamics. Below a power threshold, symmetry breaking drives nonreciprocal oscillations; beyond that, symmetry breaking yields an effect of "macroscopic" self-trapping, which supports a self-maintained energy imbalance between Bloch bands. We numerically verify the theoretical results and discuss their possible implementation in waveguide arrays.
Original language | English (US) |
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Article number | 063828 |
Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
Volume | 75 |
Issue number | 6 |
DOIs | |
State | Published - Jun 27 2007 |
Externally published | Yes |
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics