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Stable symmetry-protected 3D embedded solitons in Bose-Einstein condensates
1Departamento de Física, Facultad de Ciencias, Universidad de La Laguna, La Laguna, Tenerife, Spain. vdelgado@ull.es.
Stable three-dimensional embedded solitons were discovered in Bose-Einstein condensates within optical lattices. These robust matter-wave solitons exist within resonant Bloch bands, protected by symmetry, paving the way for experimental realization.
Area of Science:
- Nonlinear physics
- Quantum mechanics
- Bose-Einstein condensation
Background:
- Embedded solitons are localized nonlinear structures within continuous background states.
- While studied in optics, they are unexplored in Bose-Einstein condensates (BECs).
Purpose of the Study:
- To investigate the existence and stability of three-dimensional (3D) embedded solitons in BECs.
- To explore their properties within optical lattices and resonant Bloch bands.
Main Methods:
- Theoretical analysis of Bose-Einstein condensates in 1D optical lattices.
- Investigation of Bogoliubov excitation spectrum.
- Long-term evolution simulations under perturbations.
Main Results:
- Demonstrated stable 3D embedded solitons in experimentally realizable BECs.
- These solitons exist within resonant continuous Bloch bands, protected by symmetry.
- Confirmed robustness against weak perturbations via spectral analysis and simulations.
Conclusions:
- Stable 3D embedded solitons are supported by BECs in optical lattices.
- Symmetry protection allows their existence within Bloch bands.
- Opens possibilities for experimental realization and studying soliton transitions.
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