Document Type
Article
Publication Date
2-22-2018
Abstract
We investigate the extreme dynamics of non-Hermitian systems near higher-order exceptional points in photonic networks constructed using the bosonic algebra method. We show that strong power oscillations for certain initial conditions can occur as a result of the peculiar eigenspace geometry and its dimensionality collapse near these singularities. By using complementary numerical and analytical approaches, we show that, in the parity-time (PT) phase near exceptional points, the logarithm of the maximum optical power amplification scales linearly with the order of the exceptional point. We focus in our discussion on photonic systems, but we note that our results apply to other physical systems as well.
Publication Title
Physical Review A
Recommended Citation
Zhong, Q.,
Christodoulides, D. N.,
Khajavikhan, M.,
Makris, K. G.,
&
El-Ganainy, R.
(2018).
Power-law scaling of extreme dynamics near higher-order exceptional points.
Physical Review A,
97.
http://doi.org/10.1103/PhysRevA.97.020105
Retrieved from: https://digitalcommons.mtu.edu/physics-fp/99
Version
Publisher's PDF
Publisher's Statement
©2018 American Physical Society. Article deposited here in compliance with publisher policies. Publisher's version of record: https://doi.org/10.1103/PhysRevA.97.020105