Abstract

Symmetry breaking of nonlinear localized modes and suppression of symmetry-breaking bifurcations are reported in the framework of the nonlinear Schrödinger equation with defocusing saturable nonlinearity in parity-time symmetric potentials. We found that, beyond a critical point, one type of the nonlinear modes with asymmetric profiles bifurcates from the branch of the first excited state. We prove that the bifurcation is essentially triggered by instability of the first excited state by linear stability analysis, which implies the symmetry breaking of the nonlinear modes is steerable by changing the stability of the first excited state of the nonlinear mode. A suppressing effect is that the symmetry-breaking bifurcation of the nonlinear modes can be completely suppressed by adjusting the strength of the saturable nonlinearity. This suppressing effect of symmetry-breaking bifurcation is illuminated by analyzing the stability behaviors of the nonlinear modes.

© 2021 Optical Society of America

Full Article  |  PDF Article
More Like This
Higher-dimensional localized mode families in parity-time-symmetric potentials with competing nonlinearities

Chao-Qing Dai and Yan Wang
J. Opt. Soc. Am. B 31(10) 2286-2294 (2014)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Data Availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (7)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (28)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription