Time-dependent variational approach for Bose-Einstein condensates with nonlocal interaction

Fernando Haas, Bengt Eliasson

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)
28 Downloads (Pure)


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 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 Gross-Pitaevskii equation, for each of these nonlocalities. The spatio-temporal frequency spectra of linear waves are also determined.
Original languageEnglish
Article number175302
Number of pages10
JournalJournal of Physics B: Atomic, Molecular and Optical Physics
Early online date26 Jul 2018
Publication statusPublished - 16 Aug 2018


  • Bose Einstein condensate
  • variational approach
  • Gross-Pitaevskii equation


Dive into the research topics of 'Time-dependent variational approach for Bose-Einstein condensates with nonlocal interaction'. Together they form a unique fingerprint.

Cite this