Regular and chaotic dynamics of a matter-wave soliton near the atomic mirror
Abstract
The dynamics of the soliton in a self-attractive Bose-Einstein condensate under the gravity are investigated. First, we apply the inverse scattering method, which gives rise to equation of motion for the center-of-mass coordinate of the soliton. We analyze the amplitude-frequency characteristic for nonlinear resonance. Applying the Krylov-Bogoliubov method for the small parameters the dynamics of soliton on the phase plane are considered. Hamiltonian chaos under the action of the gravity on the Poincaré map are studied.
- Publication:
-
International Journal of Modern Physics B
- Pub Date:
- July 2014
- DOI:
- 10.1142/S0217979214501987
- arXiv:
- arXiv:1411.6104
- Bibcode:
- 2014IJMPB..2850198K
- Keywords:
-
- Bose–Einstein condensate;
- matter-wave soliton;
- Krylov–Bogoliubov method;
- Poincaré map;
- Hamiltonian chaos;
- mean first-passage time;
- 03.75.-b;
- 03.75.Kk;
- 05.45.-a;
- 05.45.Pq;
- Matter waves;
- Dynamic properties of condensates;
- collective and hydrodynamic excitations superfluid flow;
- Nonlinear dynamics and chaos;
- Numerical simulations of chaotic systems;
- Condensed Matter - Quantum Gases
- E-Print:
- 12 pages, 8 figures, International Journal of Modern Physics B Vol. 28, No. 28 (2014)