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Nonlinear dynamics in double square-well potentials
- Source :
- Theoretical and Mathematical Physics. 152:1122-1131
- Publication Year :
- 2007
- Publisher :
- Springer Science and Business Media LLC, 2007.
-
Abstract
- Considering the coherent nonlinear dynamics in double square well potential we find the example of coexistence of Josephson oscillations with a self-trapping regime. This macroscopic bistability is explained by proving analytically the simultaneous existence of symmetric, antisymmetric and asymmetric stationary solutions of the associated Gross-Pitaevskii equation. The effect is illustrated and confirmed by numerical simulations. This property allows to make suggestions on possible experiments using Bose-Einstein condensates in engineered optical lattices or weakly coupled optical waveguide arrays.
- Subjects :
- Bistability
Atomic Physics (physics.atom-ph)
FOS: Physical sciences
Context (language use)
Pattern Formation and Solitons (nlin.PS)
Waveguide array
Solitons
Square (algebra)
Physics - Atomic Physics
Settore FIS/03 - Fisica della Materia
law.invention
law
Quantum mechanics
Mathematical Physics
Condensed Matter::Quantum Gases
Physics
Wave-guide arrays
Optical lattices
Einstein
Condensed Matter::Other
Antisymmetric relation
Statistical and Nonlinear Physics
Mathematical Physics (math-ph)
Nonlinear Sciences - Pattern Formation and Solitons
Condensed Matter - Other Condensed Matter
Nonlinear system
Bose–Einstein condensate
Other Condensed Matter (cond-mat.other)
Subjects
Details
- ISSN :
- 15739333 and 00405779
- Volume :
- 152
- Database :
- OpenAIRE
- Journal :
- Theoretical and Mathematical Physics
- Accession number :
- edsair.doi.dedup.....5cfa7d2c542ab71ecea7aa0045814a69