Power-Law Scaling Of Extreme Dynamics Near Higher-Order Exceptional Points

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 Date

2-22-2018

Publication Title

Physical Review A

Volume

97

Issue

2

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1103/PhysRevA.97.020105

Socpus ID

85042877730 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85042877730

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