Nonlinear management of topological solitons in a spin-orbit-coupled system

Hidetsugu Sakaguchi, Boris Malomed

Research output: Contribution to journalArticle

Abstract

We consider possibilities to control dynamics of solitons of two types, maintained by the combination of cubic attraction and spin-orbit coupling (SOC) in a two-component system, namely, semi-dipoles (SDs) and mixed modes (MMs), by making the relative strength of the cross-attraction, g, a function of time periodically oscillating around the critical value, γ = 1, which is an SD/MM stability boundary in the static system. The structure of SDs is represented by the combination of a fundamental soliton in one component and localized dipole mode in the other, while MMs combine fundamental and dipole terms in each component. Systematic numerical analysis reveals a finite bistability region for the SDs and MMs around γ = 1, which does not exist in the absence of the periodic temporal modulation ("management"), as well as emergence of specific instability troughs and stability tongues for the solitons of both types, which may be explained as manifestations of resonances between the time-periodic modulation and intrinsic modes of the solitons. The system can be implemented in Bose-Einstein condensates (BECs), and emulated in nonlinear optical waveguides.

Original languageEnglish
Article number388
JournalSymmetry
Volume11
Issue number3
DOIs
Publication statusPublished - Mar 1 2019

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Solitons
Coupled System
Dipole
Orbits
Mixed Mode
solitary waves
Orbit
dipoles
orbits
Modulation
attraction
Optical waveguides
Spin-orbit Coupling
modulation
Numerical analysis
dynamic control
tongue
Optical Waveguides
Bose-Einstein Condensate
Bistability

All Science Journal Classification (ASJC) codes

  • Computer Science (miscellaneous)
  • Chemistry (miscellaneous)
  • Mathematics(all)
  • Physics and Astronomy (miscellaneous)

Cite this

Nonlinear management of topological solitons in a spin-orbit-coupled system. / Sakaguchi, Hidetsugu; Malomed, Boris.

In: Symmetry, Vol. 11, No. 3, 388, 01.03.2019.

Research output: Contribution to journalArticle

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