TY - JOUR
T1 - Symmetry-breaking instabilities in perturbed optical lattices
T2 - Nonlinear nonreciprocity and macroscopic self-trapping
AU - Fratalocchi, Andrea
AU - Assanto, Gaetano
PY - 2007/6/27
Y1 - 2007/6/27
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=34547328131&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.75.063828
DO - 10.1103/PhysRevA.75.063828
M3 - Article
AN - SCOPUS:34547328131
SN - 1050-2947
VL - 75
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 6
M1 - 063828
ER -