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Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems
Published on: April 28, 2016
Gap solitons in Rabi lattices
Zhaopin Chen1, Boris A Malomed1,2
1Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel.
Physical Review. E
|April 19, 2017
Summary
We introduce a two-component system supporting gap solitons (GSs) in Bose-Einstein condensates and optical systems. Most GSs are stable in the first bandgap but unstable in the second, with complex stability regions observed.
Area of Science:
- Nonlinear physics
- Quantum optics
- Condensed matter physics
Background:
- Two-component systems described by Gross-Pitaevskii equations (GPEs) are crucial for Bose-Einstein condensates and nonlinear optics.
- Periodic modulation (Rabi lattice) and self-repulsive nonlinearity create complex dynamics.
- Gap solitons (GSs) are localized solutions within the bandgaps of periodic potentials.
Purpose of the Study:
- To introduce and investigate a two-component 1D system with a Rabi lattice and self-repulsive nonlinearity.
- To construct and analyze the stability of various gap solitons (GSs) in the system.
- To explore the impact of asymmetry on GS properties and stability.
Main Methods:
- Solving coupled nonlinear Schrödinger or Gross-Pitaevskii equations (GPEs).
- Numerical construction and stability analysis of gap solitons (GSs).
- Investigation in the first two finite bandgaps of the system's spectrum.
- Semianalytical approximation for strongly asymmetric systems.
Main Results:
- The system supports various symmetric and antisymmetric on-site and off-site centered gap solitons (GSs).
- GSs are generally stable in the first bandgap and unstable in the second, with narrow regions of alternating stability.
- Unstable solitons can evolve into breathers or turbulent modes.
- Asymmetry (Zeeman effect or birefringence) leads to alternate stability regions for on-site centered GSs.
Conclusions:
- The studied two-component system exhibits rich gap soliton dynamics and stability properties.
- The interplay between nonlinearity, periodic potentials, and asymmetry is key to soliton behavior.
- The findings are relevant for Bose-Einstein condensates and nonlinear optical systems.
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