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 language | English |
|---|---|
| Article number | 388 |
| Journal | Symmetry |
| Volume | 11 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Mar 1 2019 |
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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 journal › Article
}
TY - JOUR
T1 - Nonlinear management of topological solitons in a spin-orbit-coupled system
AU - Sakaguchi, Hidetsugu
AU - Malomed, Boris
PY - 2019/3/1
Y1 - 2019/3/1
N2 - 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.
AB - 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.
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U2 - 10.3390/sym11030388
DO - 10.3390/sym11030388
M3 - Article
VL - 11
JO - Symmetry
JF - Symmetry
SN - 2073-8994
IS - 3
M1 - 388
ER -