Nonlinear Structures and Dynamics in the Bose Condensate

以前对气态玻色-爱因斯坦凝聚体动力学的研究揭示了许多有趣的现象，如孤立子和涡旋。目前的研究旨在通过使用量子化学中众所周知的多组态方法来检查先前采用的平均场近似的有效性。这一新方法将应用于光学晶格中的凝聚态，在这些晶格中，已知会发生从非定域态到定域态的转变。

Previous investigation into the dynamics of a gaseous Bose-Einstein condensate has revealed a number of interesting phenomena such as solitons and vortices. The current research is designed to examine the validity of the mean-field approximation previously employed by including correlation effects using a multi-configurational approach well known in quantum chemistry. The new method will be applied to condensates in optical lattices where transitions from delocalized to localized states are known to occur.