Veiled symmetry of disordered Parity-Time lattices: protected PT-threshold and the fate of localization

dc.contributor.authorHarter, Andrew K.
dc.contributor.authorAssogba Onanga, Franck
dc.contributor.authorJoglekar, Yogesh N.
dc.contributor.departmentPhysics, School of Scienceen_US
dc.date.accessioned2018-05-31T13:03:58Z
dc.date.available2018-05-31T13:03:58Z
dc.date.issued2018-01-08
dc.description.abstractOpen, 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.versionFinal published versionen_US
dc.identifier.citationHarter, 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-zen_US
dc.identifier.urihttps://hdl.handle.net/1805/16307
dc.language.isoen_USen_US
dc.publisherNature Publishing Groupen_US
dc.relation.isversionof10.1038/s41598-017-18589-zen_US
dc.relation.journalScientific Reportsen_US
dc.rightsAttribution 3.0 United States
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/us
dc.sourcePMCen_US
dc.subjectPT symmetryen_US
dc.subjectDisorderen_US
dc.subjectWaveguide arraysen_US
dc.subjectNon-Hermitian potentialen_US
dc.subjectDynamicsen_US
dc.subjectForce and energyen_US
dc.subjectQuantum theory -- Mathematicsen_US
dc.titleVeiled symmetry of disordered Parity-Time lattices: protected PT-threshold and the fate of localizationen_US
dc.typeArticleen_US
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