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 language | English |
|---|---|
| Pages (from-to) | 371-373 |
| Number of pages | 3 |
| Journal | Optics Letters |
| Volume | 38 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Jan 1 2013 |
| Externally published | Yes |
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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 journal › Article
}
TY - JOUR
T1 - Discrete vortex solitons and parity time symmetry
AU - Leykam, Daniel
AU - Konotop, Vladimir V.
AU - Desyatnikov, Anton S.
PY - 2013/1/1
Y1 - 2013/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84873372818&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84873372818&partnerID=8YFLogxK
U2 - 10.1364/OL.38.000371
DO - 10.1364/OL.38.000371
M3 - Article
C2 - 23381441
AN - SCOPUS:84873372818
VL - 38
SP - 371
EP - 373
JO - Optics Letters
JF - Optics Letters
SN - 0146-9592
IS - 3
ER -