Share Email Print

Proceedings Paper

PT symmetry breaking in the presence of random, periodic, long-range hopping
Author(s): Andrew K. Harter; Franck Assogba Onanga; Yogesh N. Joglekar
Format Member Price Non-Member Price
PDF $14.40 $18.00
cover GOOD NEWS! Your organization subscribes to the SPIE Digital Library. You may be able to download this paper for free. Check Access

Paper Abstract

Over the past five years, open systems with balanced gain and loss have been investigated for extraordinary properties that are not shared by their closed counterparts. Non-Hermitian, Parity-Time (PT ) symmetric Hamiltonians faithfully model such systems. Such a Hamiltonian typically consists of a reflection-symmetric, Hermitian, nearest-neighbor hopping profile and a PT-symmetric, non-Hermitian, gain and loss potential, and has a robust PT -symmetric phase. Here we investigate the robustness of this phase in the presence of long-range hopping disorder that is not PT-symmetric, but is periodic. We find that the PT-symmetric phase remains robust in the presence of such disorder, and characterize the configurations where that happens. Our results are found using a tight-binding model, and we validate our predictions through the beam-propagation method.

Paper Details

Date Published: 16 September 2016
PDF: 8 pages
Proc. SPIE 9920, Active Photonic Materials VIII, 99201O (16 September 2016); doi: 10.1117/12.2239527
Show Author Affiliations
Andrew K. Harter, Indiana Univ.-Purdue Univ. Indianapolis (United States)
Franck Assogba Onanga, Indiana Univ.-Purdue Univ. Indianapolis (United States)
Yogesh N. Joglekar, Indiana Univ.-Purdue Univ. Indianapolis (United States)

Published in SPIE Proceedings Vol. 9920:
Active Photonic Materials VIII
Ganapathi S. Subramania; Stavroula Foteinopoulou, Editor(s)

© SPIE. Terms of Use
Back to Top