Veiled symmetry of disordered Parity-Time lattices: protected PT-threshold and the fate of localization
dc.contributor.author | Harter, Andrew K. | |
dc.contributor.author | Assogba Onanga, Franck | |
dc.contributor.author | Joglekar, Yogesh N. | |
dc.contributor.department | Physics, School of Science | en_US |
dc.date.accessioned | 2018-05-31T13:03:58Z | |
dc.date.available | 2018-05-31T13:03:58Z | |
dc.date.issued | 2018-01-08 | |
dc.description.abstract | Open, non-equilibrium systems with balanced gain and loss, known as parity-time ([Formula: see text])-symmetric systems, exhibit properties that are absent in closed, isolated systems. A key property is the [Formula: see text]-symmetry breaking transition, which occurs when the gain-loss strength, a measure of the openness of the system, exceeds the intrinsic energy-scale of the system. We analyze the fate of this transition in disordered lattices with non-Hermitian gain and loss potentials ±iγ at reflection-symmetric sites. Contrary to the popular belief, we show that the [Formula: see text]-symmetric phase is protected in the presence of a periodic disorder which leads to a positive [Formula: see text]-symmetry breaking threshold. We uncover a veiled symmetry of such disordered systems that is instrumental for the said protection, and show that this symmetry leads to new localization behavior across the [Formula: see text]-symmetry breaking transition. We elucidate the interplay between such localization and the [Formula: see text]-symmetry breaking phenomena in disordered [Formula: see text]-symmetric lattices, with Hermitian disorder or gain-loss disorder, and support our conclusions with a beampropagation- method analysis. Our theoretical predictions provide avenues for experimental realizations of -symmetric systems with engineered disorder. | en_US |
dc.eprint.version | Final published version | en_US |
dc.identifier.citation | Harter, A. K., Onanga, F. A., & Joglekar, Y. N. (2018). Veiled symmetry of disordered Parity-Time lattices: protected PT-threshold and the fate of localization. Scientific Reports, 8, 44. http://doi.org/10.1038/s41598-017-18589-z | en_US |
dc.identifier.uri | https://hdl.handle.net/1805/16307 | |
dc.language.iso | en_US | en_US |
dc.publisher | Nature Publishing Group | en_US |
dc.relation.isversionof | 10.1038/s41598-017-18589-z | en_US |
dc.relation.journal | Scientific Reports | en_US |
dc.rights | Attribution 3.0 United States | |
dc.rights.uri | https://creativecommons.org/licenses/by/3.0/us | |
dc.source | PMC | en_US |
dc.subject | PT symmetry | en_US |
dc.subject | Disorder | en_US |
dc.subject | Waveguide arrays | en_US |
dc.subject | Non-Hermitian potential | en_US |
dc.subject | Dynamics | en_US |
dc.subject | Force and energy | en_US |
dc.subject | Quantum theory -- Mathematics | en_US |
dc.title | Veiled symmetry of disordered Parity-Time lattices: protected PT-threshold and the fate of localization | en_US |
dc.type | Article | en_US |
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