Discrete vortex solitons and parity time symmetry
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Leykam, Daniel; Konotop, Vladimir V; Desyatnikov, Anton S
Description
We study the effect of lifting the degeneracy of vortex modes with a parity time (PT) symmetric defect, using discrete vortices in a circular array of nonlinear waveguides as an example. When the defect is introduced, the degenerate linear vortex modes spontaneously break PT symmetry and acquire complex eigenvalues, but nonlinear propagating modes with real propagation constants can still exist. The stability of nonlinear modes depends on both the magnitude and the sign of the vortex charge;...[Show more]
dc.contributor.author | Leykam, Daniel | |
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dc.contributor.author | Konotop, Vladimir V | |
dc.contributor.author | Desyatnikov, Anton S | |
dc.date.accessioned | 2016-05-02T00:50:05Z | |
dc.date.available | 2016-05-02T00:50:05Z | |
dc.identifier.issn | 0146-9592 | |
dc.identifier.uri | http://hdl.handle.net/1885/101159 | |
dc.description.abstract | We study the effect of lifting the degeneracy of vortex modes with a parity time (PT) symmetric defect, using discrete vortices in a circular array of nonlinear waveguides as an example. When the defect is introduced, the degenerate linear vortex modes spontaneously break PT symmetry and acquire complex eigenvalues, but nonlinear propagating modes with real propagation constants can still exist. The stability of nonlinear modes depends on both the magnitude and the sign of the vortex charge; thus PT symmetric systems offer new mechanisms to control discrete vortices. | |
dc.description.sponsorship | This work was supported by the Australian Research Council. The work of VVK was supported by the FCT (Portugal) grants PTDC/FIS/112624/2009 and PEst-OE/ FIS/UI0618/2011. | |
dc.publisher | Optical Society of America | |
dc.rights | © 2013 Optical Society of America | |
dc.source | Optics letters | |
dc.subject | Keywords: Circular arrays; Complex eigenvalues; Discrete vortices; New mechanisms; Nonlinear mode; Nonlinear waveguides; Propagating mode; PT symmetries; Real propagation; Symmetric systems; Vortex charge; Vortex mode; Defects; Eigenvalues and eigenfunctions; Plati | |
dc.title | Discrete vortex solitons and parity time symmetry | |
dc.type | Journal article | |
local.description.notes | Imported from ARIES | |
local.identifier.citationvolume | 38 | |
dc.date.issued | 2013-02-01 | |
local.identifier.absfor | 020500 | |
local.identifier.absfor | 049999 | |
local.identifier.ariespublication | f5625xPUB2418 | |
local.publisher.url | http://www.osa.org/en-us/home/ | |
local.type.status | Published Version | |
local.contributor.affiliation | Leykam, Daniel, College of Physical and Mathematical Sciences, CPMS Research School of Physics and Engineering, Nonlinear Physics Centre, The Australian National University | |
local.contributor.affiliation | Konotop, Vladimir, Universidade de Lisboa, Portugal | |
local.contributor.affiliation | Desyatnikov, Anton S, College of Physical and Mathematical Sciences, CPMS Research School of Physics and Engineering, Nonlinear Physics Centre, The Australian National University | |
local.identifier.essn | 1539-4794 | |
local.bibliographicCitation.issue | 3 | |
local.bibliographicCitation.startpage | 371 | |
local.bibliographicCitation.lastpage | 373 | |
local.identifier.doi | 10.1364/OL.38.000371 | |
dc.date.updated | 2016-06-14T08:35:36Z | |
local.identifier.scopusID | 2-s2.0-84873372818 | |
Collections | ANU Research Publications |
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