Matter-Wave Bright Solitons of ^7Li Gas in an Expulsive Potential

• Authors: Sk. Golam Ali , B. Talukdar , S. Roy
• Languages of publication: EN

Abstracts

EN

A Lagrangian based method is used to derive an analytical model for studying the dynamics of matter-wave bright soliton created in a harmonic potential which is attractive in the transverse direction and expulsive in the longitudinal direction. By means of sech trial functions and a Ritz optimization procedure, evolution equations are constructed for width, amplitude and nonlinear frequency chirp of the propagating soliton of the atomic condensate. Our equation for the width is an exact agreement with that of Carr and Castin, obtained by more detailed analysis. In agreement with the experiment of Paris group, the expulsive potential is found to cause the soliton to explode for N|a_s|=0.98, N being the number of atoms in the condensate and a_s -- the scattering length of the atom-atom interaction.

Keywords

EN

03.75.Fi; 05.45.Yv

Discipline

• 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: 2007
• Volume: 112
• Issue: 6
• Pages: 1165-1170

Dates

published

2007-12

received

2007-09-20

Contributors

author

Sk. Golam Ali

• Department of Physics, Visva-Bharati University, Santiniketan 731235, India

author

B. Talukdar

• Department of Physics, Visva-Bharati University, Santiniketan 731235, India

author

S. Roy

• Department of Physics, Visva-Bharati University, Santiniketan 731235, India

References

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Identifiers

DOI

10.12693/APhysPolA.112.1165