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Abstract
The nonlinear dynamics of selfbound BoseEinstein matter waves under the action of an attractive nonlocal and a repulsive local interaction is analyzed by means of a timedependent variational formalism. The meanfield model described by the GrossPitaevskii equation is reduced to a single secondorder conservative ordinary differential equation admitting a potential function. The stable fixed points and the linear oscillation frequencies of the breather modes are determined. The chosen nonlocal interactions are a Gaussianshaped potential and a van der Waalslike potential. The variational solutions are compared with direct numerical simulations of the GrossPitaevskii equation, for each of these nonlocalities. The spatiotemporal frequency spectra of linear waves are also determined.
Original language  English 

Article number  175302 
Number of pages  10 
Journal  Journal of Physics B: Atomic, Molecular and Optical Physics 
Volume  51 
Early online date  26 Jul 2018 
DOIs  
Publication status  Published  16 Aug 2018 
Keywords
 Bose Einstein condensate
 variational approach
 GrossPitaevskii equation
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Dive into the research topics of 'Timedependent variational approach for BoseEinstein condensates with nonlocal interaction'. Together they form a unique fingerprint.Projects
 1 Finished

MultiScale Numerical Modelling of Magnetised Plasma Turbulence
Eliasson, B., Phelps, A. & Ronald, K.
EPSRC (Engineering and Physical Sciences Research Council)
26/01/15 → 25/07/18
Project: Research
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Data for: "Timedependent variational approach for BoseEinstein condensates with nonlocal interaction"
Haas, F. (Creator) & Eliasson, B. (Creator), University of Strathclyde, 9 Aug 2018
DOI: 10.15129/df750efcd1f548cf8ba66f9cf498011e
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