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One-dimensional Townes solitons in dual-core systems with localized coupling
Shatrughna Kumar1, Pengfei Li2,3, Boris A Malomed1,4
1Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, and Center for Light-Matter Interaction, Tel Aviv University, P.O.B. 39040, Tel Aviv, Israel.
Physical Review. E
|September 19, 2023
Summary
Researchers demonstrate a novel dual-core waveguide system that stabilizes Townes solitons (TSs) and exhibits spontaneous symmetry breaking (SSB). This system provides exact solutions and has potential applications in photonic devices.
Area of Science:
- Nonlinear optics
- Quantum physics
- Materials science
Background:
- Townes solitons (TSs) are fundamental nonlinear wave solutions.
- Spontaneous symmetry breaking (SSB) is crucial in soliton dynamics.
- Stabilizing inherently unstable TSs is a significant challenge.
Purpose of the Study:
- To introduce a novel system for exact solutions of TSs and SSB.
- To investigate the stabilization of TSs in a dual-core waveguide.
- To explore potential applications in photonic devices.
Main Methods:
- Development of a dual-core waveguide model with quintic nonlinearity and localized coupling.
- Derivation of exact solutions for symmetric and asymmetric solitons using coupled nonlinear Schrödinger equations.
- Numerical analysis to identify stability boundaries of asymmetric solitons.
Main Results:
- Exact solutions for full families of symmetric and asymmetric solitons were obtained.
- Supercritical SSB bifurcation was observed, leading to asymmetric solitons.
- Unstable solitons were found to transition into robust asymmetric breathers or states with oscillations.
Conclusions:
- The proposed dual-core waveguide system successfully admits exact solutions for stabilized TSs and SSB.
- The system exhibits a supercritical SSB bifurcation, generating asymmetric solitons.
- This work offers a platform for designing advanced photonic devices for coupling and switching applications.
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