Discrete vortex solitons and parity time symmetry

Daniel Leykam, Vladimir V. Konotop, Anton S. Desyatnikov

Research output: Contribution to journalArticle

33 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)371-373
Number of pages3
JournalOptics Letters
Volume38
Issue number3
DOIs
Publication statusPublished - Jan 1 2013
Externally publishedYes

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parity
solitary waves
vortices
symmetry
defects
eigenvalues
waveguides
propagation

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Discrete vortex solitons and parity time symmetry. / Leykam, Daniel; Konotop, Vladimir V.; Desyatnikov, Anton S.

In: Optics Letters, Vol. 38, No. 3, 01.01.2013, p. 371-373.

Research output: Contribution to journalArticle

Leykam, Daniel ; Konotop, Vladimir V. ; Desyatnikov, Anton S. / Discrete vortex solitons and parity time symmetry. In: Optics Letters. 2013 ; Vol. 38, No. 3. pp. 371-373.
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