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Robust Three-Dimensional High-Order Solitons and Breathers in Driven Dissipative Systems: A Kerr Cavity Realization
Yifan Sun1, Pedro Parra-Rivas1, Carles Milián2
1Department of Information Engineering, Electronics and Telecommunications, Sapienza University of Rome, Via Eudossiana 18, 00184 Rome, Italy.
Physical Review Letters
|October 13, 2023
Summary
Researchers developed a method to create stable three-dimensional solitons and breathers in nonlinear optical cavities. This approach ensures deterministic formation of light bullets and breathers, offering new possibilities for optical systems.
Area of Science:
- Nonlinear Optics
- Optical Cavities
- Soliton Dynamics
Background:
- Dissipative nonlinear cavities are crucial for generating optical solitons and breathers.
- Controlling the stability and formation of these optical structures remains a significant challenge.
- Previous research has explored various methods for soliton excitation, but robust 3D and high-order states are difficult to achieve.
Purpose of the Study:
- To present a general approach for exciting robust dissipative three-dimensional (3D) and high-order solitons and breathers.
- To demonstrate this approach in a specific optical Kerr cavity system with diffraction, anomalous dispersion, and an attractive 3D parabolic potential.
- To investigate the impact of the parabolic potential on soliton stability and formation.
Main Methods:
- Utilized a passively driven nonlinear optical Kerr cavity model.
- Incorporated diffraction, anomalous dispersion, and an attractive three-dimensional parabolic potential.
- Analyzed the system's response to various input fields to observe soliton and breather formation.
Main Results:
- The attractive 3D parabolic potential deterministically leads to the formation of stable 3D solitons (light bullets) and breathers.
- These solitons and breathers are the only stable states for specific parameter regimes, a rare phenomenon in passive nonlinear systems.
- Tuning the potential width allows for the creation of a variety of stable asymmetric solitons.
Conclusions:
- The proposed method offers a robust route to excite stable dissipative 3D solitons and breathers.
- The parabolic potential plays a critical role in breaking translational symmetry and ensuring deterministic state formation.
- This work paves the way for experimental observation of dissipative light bullets and 3D breathers.
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