Soliton dynamics for an ingenious trap combination in a Bose-Einstein condensate

We provide an exact analytical model of the 1D Gross-Pitäevskii equation for a composite trap, which is capable of producing a variety of potentials: a general power-law, harmonic, tunable double-well etc. We derive a family of exact solitary wave solution for condensate density, which can be contro...

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Bibliographic Details
Published in:The European physical journal. D, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2020-02, Vol.74 (2), Article 27
Main Authors: Nath, Ajay, Bera, Jayanta, Ghosh, Suranjana, Panigrahi, Prasanta K., Roy, Utpal
Format: Article
Language:English
Subjects:
Applications of Nonlinear Dynamics and Chaos Theory
Atomic
Bose-Einstein condensates
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Data processing
Molecular
Numerical stability
Optical and Plasma Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Information Technology
Quantum phenomena
Quantum Physics
Regular Article
Solitary waves
Spectroscopy/Spectrometry
Spintronics
Stability analysis
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Summary:We provide an exact analytical model of the 1D Gross-Pitäevskii equation for a composite trap, which is capable of producing a variety of potentials: a general power-law, harmonic, tunable double-well etc. We derive a family of exact solitary wave solution for condensate density, which can be controlled by tuning the trap parameters. The fact that the minima positions can be controlled and the potential can also be made asymmetric makes it a favorable candidate for quantum information processing. Coherent control of the condensate profile is investigated, where it shows interesting collapse and revival. Moreover, the obtained two-soliton solution follows periodic and bi-periodic trajectories. A numerical study of the condensate dynamics is carried out to verify our result, which is also supported by a numerical stability analysis. Graphical abstract
ISSN:1434-6060
1434-6079
DOI:10.1140/epjd/e2019-100103-y