本项目通过数值方法求解统计映射Gross-Pitaevskii方程来研究多分量玻色─爱因斯坦凝聚体，例如二分量凝聚体混合物，旋量凝聚体、原子分子凝聚体系统在非零温时的一般动力性质。拟开展以下三个方面的研究工作: （1）有限温度下，有Feshbach 共振和Raman失谐控制下的原子-分子凝聚体的非平衡动力学研究，以及其中的拓扑缺陷的形成；(2) 陷阱中多分量玻色─爱因斯坦凝聚体的量子化涡流及量子紊流在非零温时的动力学性质，多分量玻色─爱因斯坦凝聚体混合物在形成过程中发生碎裂现象物理机制的探讨；(3) 研究快速旋转极速降温的旋量玻色爱因斯坦凝聚体中的拓扑激发，以及其中的Berezinskii-Kosterlitz-Thouless相变；本项目将加深人们对有限温度下玻色爱因斯坦凝聚体中各种新颖量子激发产生机理的认识。

This project aims to study the general dynamical properties of the multi-component Bose-Einstein condensates (BEC), such as the mixture of two-component BEC, the spinor BEC, the atom-molecule BEC, at non-zero temperatures by solving the stochastic projected Gross-Pitaevskii equation (SPGPE) numerically. We will concentrate on the following three subjects: (1) we investigate the non-equilibrium dynamics and the formation of topological defects in the atom-molecule BEC by considering the Feshbach resonance and the Raman detuning at finite temperature; (2) the dynamical properties of quantized vortices and quantum turbulence in a trapped multi-component BEC at non-zero temperatures, the mechanisms of fragmentation during the formation of a multi-component BEC. (3) we study the exotic quantum excitation in a rapidly rotating spinor BEC in the limit of fast quenching process, and the Berezinskii-Kosterlitz-Thouless transition. This project will enhance our understanding of various exotic quantized excitations in the multi-component BEC at the non-zero temperature.