Dynamically stabilized bright solitons in a two-dimensional Bose-Einstein condensate

Josselin C. Garnier, F. Kh. Abdullaev

Muhammad Irfan Qadir, Aleen Ijaz

We consider a system of effectively one dimensional cigar shaped Bose Einstein condensate. We present a numerical study for the existence and stability of travelling bright solitons in the time dependent nonlinear Schrodinger equation that describes the dynamics of Bose-Einstein ¨ condensate. Furthermore, the effects of strength of the trap on the stability of bright solitons are investigated when the condensate is placed under the influence of a trapping potential.

F. Kh. Abdullaev, Josselin C. Garnier

Hiroki Saito, Masahito Ueda

We present two novel phenomena concerning bright solitons in a gaseous Bose–Einstein condensate with attractive interatomic interactions. (1) For the strength of interaction larger than a critical one, a vortex splits into two clusters (solitons) via the quadrupole dynamical instability. (2) A soliton can be stabilized in 2D free space by making the strength of interactions oscillate rapidly.

Luis E. Young-S., Paulsamy Muruganandam, Sadhan K. Adhikari

By numerical and variational analysis of the three-dimensional Gross–Pitaevskii equation, we study the formation and dynamics of bright and vortex-bright solitons in a cigar-shaped dipolar Bose–Einstein condensate for large repulsive atomic interactions. A phase diagram showing the region of stability of the solitons is obtained. We also study the dynamics of breathing oscillation of the solitons as well as the collision dynamics of two solitons. At large velocities the frontal collision is elastic and the two three-dimensional solitons pass through each other undeformed. Two solitons placed side by side at rest coalesce to form a stable bound soliton molecule due to dipolar attraction. Movie clips illustrating collision and molecule-formation dynamics of two bright and vortex-bright solitons are included.

赵立臣, 杨战营, 张 涛 +1 more