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Stationary and drifting localized structures near a multiple bifurcation point
1Institute of Physics, Academy of Sciences, Skaryna avenue 70, 220072 Minsk, Belarus and Institut fur Angewandte Physik, Westfalische Wilhelms-Universitat Munster, Corrensstrasse 2/4, D-48149 Munster, Federal Republic of Germany.
Summary
Numerical simulations reveal stable localized states, like peaks and dark holes, within patterned backgrounds in spin-1/2 atomic systems. Interactions can cause these states to drift on a dynamic background.
Area of Science:
- Atomic physics
- Nonlinear dynamics
- Optical systems
Background:
- Spontaneous pattern formation is studied in spin-1/2 atomic systems.
- Optical feedback mechanisms are employed.
- Bistability between homogeneous states is a key feature.
Purpose of the Study:
- To investigate the existence and nature of localized states in patterned backgrounds.
- To explore the dynamics of these localized states under varying conditions.
- To understand the role of resonant interactions in pattern evolution.
Main Methods:
- Numerical simulations of a spin-1/2 atomic system.
- Analysis of spontaneous pattern formation.
- Investigation of parameter regions exhibiting bistability.
Main Results:
- Stable localized states, including large amplitude peaks and dark holes, were identified.
- These states were found embedded in a hexagonal background.
- Resonant interactions led to a nonstationary background, inducing drift in localized states.
Conclusions:
- Localized states can stably exist within complex patterned backgrounds in this system.
- The dynamics are sensitive to parameter choices, leading to phenomena like state drift.
- The interplay between different modes significantly influences the overall pattern evolution.