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Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators
Published on: April 4, 2016
Fully three dimensional breather solitons can be created using feshbach resonances
M Matuszewski1, E Infeld, B A Malomed
1Institute of Theoretical Physics, Physics Department, Warsaw University, Hoza 69, PL-00-681 Warsaw, Poland.
Physical Review Letters
|August 11, 2005
Summary
We found new stable three-dimensional (3D) breather solitons in Bose-Einstein condensates confined by a 1D optical lattice. These 3D solitons exhibit unique dynamics and offer a pathway for experimental creation.
Area of Science:
- Atomic, Molecular, and Optical Physics
- Quantum Gases
- Nonlinear Physics
Background:
- Bose-Einstein condensates (BECs) are quantum states of matter with unique properties.
- Breather solitons are localized, oscillating wave packets with applications in nonlinear physics.
- Controlling soliton stability is crucial for their experimental realization and application.
Purpose of the Study:
- To investigate the stability of breather solitons in a 3D BEC.
- To compare stability regions from 3D and quasi-2D analyses.
- To identify conditions for creating robust 3D breather solitons in experiments.
Main Methods:
- Numerical simulations of the 3D Gross-Pitaevskii equation.
- Analysis of breather soliton stability in parameter space.
- Comparison between fully 3D and quasi-2D theoretical treatments.
Main Results:
- A novel island of stability for 3D breather solitons was discovered.
- This stability region is absent in quasi-2D approximations.
- Stable 3D solitons exhibit non-trivial dynamics along the lattice direction.
Conclusions:
- Fully 3D analysis is essential for understanding breather soliton stability in 1D lattices.
- The identified stability region provides a route for experimental creation of 3D solitons.
- These findings have implications for Bose-Einstein condensate research and nonlinear physics applications.
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