PT symmetry breaking in the presence of random, periodic, long-range hopping

Andrew K. Harter; Franck Assogba Onanga; Yogesh N. Joglekar

doi:10.1117/12.2239527

16 September 2016 PT symmetry breaking in the presence of random, periodic, long-range hopping

Andrew K. Harter, Franck Assogba Onanga, Yogesh N. Joglekar

Proceedings Volume 9920, Active Photonic Materials VIII; 99201O (2016) https://doi.org/10.1117/12.2239527
Event: SPIE Nanoscience + Engineering, 2016, San Diego, California, United States

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.

Conference Presentation

Citation Download Citation

Andrew K. Harter, Franck Assogba Onanga, and Yogesh N. Joglekar "PT symmetry breaking in the presence of random, periodic, long-range hopping", Proc. SPIE 9920, Active Photonic Materials VIII, 99201O (16 September 2016); https://doi.org/10.1117/12.2239527

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