Discrete vortex solitons and parity time symmetry
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 com...
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Veröffentlicht in: | Optics letters 2013-02, Vol.38 (3), p.371-373 |
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creator | 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; thus PT symmetric systems offer new mechanisms to control discrete vortices. |
doi_str_mv | 10.1364/OL.38.000371 |
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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. 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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.</description><subject>Constants</subject><subject>Defects</subject><subject>Fluid flow</subject><subject>Nonlinearity</subject><subject>Parity</subject><subject>Solitons</subject><subject>Symmetry</subject><subject>Vortices</subject><issn>0146-9592</issn><issn>1539-4794</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNqFkD1PwzAQhi0EoqGwMaOMDKT47Isdj6h8SpG6wGy5iS0FJU2xXUT-PUYtrOiG94ZHr-4eQi6BLoALvF3VC14tKKVcwhHJoOSqQKnwmGQUUBSqVGxGzkJ4T4yQnJ-SGeO8AkTICNx3ofE22vxz9NF-5WHsuzhuQm42bb41votTHrvB5mEaBhv9dE5OnOmDvTjknLw9Prwun4t69fSyvKuLhjOMhVJOVgpEkxYHLTWmapVDC2XjUJRKISBtqaJAK9mgFGXrpLPtmhtUjkk-J9f73q0fP3Y2RD2kU23fm40dd0EDZ2nSP_A_yioUDBVlCb3Zo40fQ_DW6a3vBuMnDVT_-NSrWvNK730m_OrQvFsPtv2DfwXyb_W_bmU</recordid><startdate>20130201</startdate><enddate>20130201</enddate><creator>Leykam, Daniel</creator><creator>Konotop, Vladimir V</creator><creator>Desyatnikov, Anton S</creator><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><scope>7SP</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20130201</creationdate><title>Discrete vortex solitons and parity time symmetry</title><author>Leykam, Daniel ; Konotop, Vladimir V ; Desyatnikov, Anton S</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c324t-99f78916c99ff1d0aa8d9f4e15cf465994140d0901087c4765df7fedb3a49f273</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Constants</topic><topic>Defects</topic><topic>Fluid flow</topic><topic>Nonlinearity</topic><topic>Parity</topic><topic>Solitons</topic><topic>Symmetry</topic><topic>Vortices</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Leykam, Daniel</creatorcontrib><creatorcontrib>Konotop, Vladimir V</creatorcontrib><creatorcontrib>Desyatnikov, Anton S</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><collection>Electronics & Communications Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Optics letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Leykam, Daniel</au><au>Konotop, Vladimir V</au><au>Desyatnikov, Anton S</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Discrete vortex solitons and parity time symmetry</atitle><jtitle>Optics letters</jtitle><addtitle>Opt Lett</addtitle><date>2013-02-01</date><risdate>2013</risdate><volume>38</volume><issue>3</issue><spage>371</spage><epage>373</epage><pages>371-373</pages><issn>0146-9592</issn><eissn>1539-4794</eissn><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. 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subjects | Constants Defects Fluid flow Nonlinearity Parity Solitons Symmetry Vortices |
title | Discrete vortex solitons and parity time symmetry |
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