Modulation Instability of Two-Dimensional Dipolar Bose-Einstein Condensate in a Deep Optical Lattice

• Authors: A. Wöllert , G. Gligorić , M. Škorić , A. Maluckov , N. Raičević , A. Daničić , Lj. Hadžievski
• Languages of publication: EN

Abstracts

EN

We study the stability of the continuous waves in the pancake shaped dipolar Bose-Einstein condensate trapped in the strong optical lattice potential with the coexisting local (the short-range s-wave) interaction and nonlocal (the dipole-dipole) interactions between the condensate atoms. The system is modeled by two two-dimensional discrete models derived from the Gross-Pitaevskii equation accounting the dipole-dipole interactions: discrete nonlinear Schrödinger equation with cubic nonlinearity and nonpolynomial Schrödinger equation. The corresponding dispersion relations are calculated analytically and the regions of the modulation instability in the parametric space are summarized into the stability diagrams.

Keywords

EN

03.75.Lm; 05.45.Yv

Discipline

• 03.75.Lm: Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations(see also 74.50.+r Tunneling phenomena; Josephson effects in superconductivity)
• 05.45.Yv: Solitons(see 52.35.Sb for solitons in plasma; for solitons in acoustics, see 43.25.Rq—in Acoustics Appendix; see 42.50.Md, 42.65.Tg, 42.81.Dp for solitons in optics; see also 03.75.Lm in matter waves; for solitons in space plasma physics, see 94.05.Fg; for solitary waves in fluid dynamics, see 47.35.Fg)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 116
• Issue: 4
• Pages: 519-521

Dates

published

2009-10

Contributors

author

A. Wöllert

• Faculty of Physics, University of Göttingen, Göttingen, Germany

author

G. Gligorić

• Vinča-Institute of Physics, Belgrade, Serbia

author

M. Škorić

• National Instutute for Fusion Science, Tokio, Japan

author

A. Maluckov

• Faculty of Sciences and Mathematics, Niš, Serbia

author

N. Raičević

• Vinča-Institute of Physics, Belgrade, Serbia

author

A. Daničić

• Vinča-Institute of Physics, Belgrade, Serbia

author

Lj. Hadžievski

• Vinča-Institute of Physics, Belgrade, Serbia

References

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Identifiers

DOI

10.12693/APhysPolA.116.519