Journal
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS
Volume 51, Issue 17, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1361-6455/aad629
Keywords
Bose-Einstein condensate; matter wave; nonlocal interaction
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Funding
- Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq)
- Engineering and Physical Sciences Research Council (EPSRC) [EP/M009386/1]
- EPSRC [EP/M009386/1] Funding Source: UKRI
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The nonlinear dynamics of self-bound Bose-Einstein matter waves under the action of an attractive nonlocal and a repulsive local interaction is analyzed by means of a time-dependent variational formalism. The mean-field model described by the Gross-Pitaevskii equation (GPE) is reduced to a single second-order 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 Gaussian-shaped potential and a van der Waals-like potential. The variational solutions are compared with direct numerical simulations of the GPE, for each of these nonlocalities. The spatio-temporal frequency spectra of linear waves are also determined.
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