Solitons in Bose–Einstein condensates

Alexandre Heuchamps

Michail A. Zak, Ilya Kulikov

A new phenomenon in nonlinear dispersive systems, including a Bose-Einstein Condensate (BEC), has been described. It is based upon a resonance between an externally induced soliton and 'eigen-solitons' of the homogeneous cubic Schrodinger equation. There have been shown that a moving source of positive /negative potential induces bright /dark solitons in an attractive / repulsive Bose condensate.

Bogdan Damski, Wojciech Hubert Zurek

We use the stochastic Gross-Pitaevskii equation to study dynamics of Bose-Einstein condensation. We show that cooling into a Bose-Einstein condensate (BEC) can create solitons with density given by the cooling rate and by the critical exponents of the transition. Thus, counting solitons left in its wake should allow one to determine the critical exponents z and nu for a BEC phase transition. The same information can be extracted from two-point correlation functions.

David L. Feder

Qian Tian

Through analyzing the current situation of optical soliton in the bose Einstein condensation,the research of optical soliton in the system elaborated the bose Einstein condensation method and model,and the current in the research of other scholars in the field of optical soliton in the bose Einstein condensation results must be analyzed,in order to further studies in this field provides a method and guidance.

William P. Reinhardt