Gap soliton dynamics in an optical lattice as a parametrically driven pendulum
Abstract
A long wavelength optical lattice is generated in a two-level medium by low-frequency contrapropagating beams. Then a short wavelength gap soliton generated by evanescent boundary instability (supratransmission) undergoes a dynamics shown to obey the Newton equation of the parametrically driven pendulum, hence presenting extremely rich, possibly chaotic, dynamical behavior. The theory is sustained by numerical simulations and provides an efficient tool to study soliton trajectories.
- Publication:
-
Physical Review A
- Pub Date:
- September 2009
- DOI:
- 10.1103/PhysRevA.80.033822
- arXiv:
- arXiv:0909.2986
- Bibcode:
- 2009PhRvA..80c3822K
- Keywords:
-
- 42.65.Tg;
- 05.45.-a;
- 42.65.Re;
- 42.50.Gy;
- Optical solitons;
- nonlinear guided waves;
- Nonlinear dynamics and chaos;
- Ultrafast processes;
- optical pulse generation and pulse compression;
- Effects of atomic coherence on propagation absorption and amplification of light;
- electromagnetically induced transparency and absorption;
- Condensed Matter - Other Condensed Matter;
- Nonlinear Sciences - Chaotic Dynamics;
- Nonlinear Sciences - Pattern Formation and Solitons;
- Physics - Optics
- E-Print:
- Phys. Rev. A, v.80, 033822 (2009)