论文标题
快速旋转的玻色网凝结物的托马斯 - 富尔米轮廓
Thomas-Fermi profile of a fast rotating Bose-Einstein condensate
论文作者
论文摘要
我们研究了磁性2D非线性schrödinger能量在二次捕获电势中的最小化，描述了旋转的玻璃体冷凝物。我们在快速旋转的极限中得出有效的Thomas-Fermi样模型，离心力补偿了限制，并且可用状态仅限于最低的Landau水平。有效Thomas-Fermi功能的耦合常数与涡旋晶格的出现（Abrikosov问题）有关。我们通过在热力学极限中相应均匀气体的能量的低密度扩展来定义它。
We study the minimizers of a magnetic 2D non-linear Schrödinger energy functional in a quadratic trapping potential, describing a rotating Bose-Einstein condensate. We derive an effective Thomas-Fermi-like model in the rapidly rotating limit where the centrifugal force compensates the confinement, and available states are restricted to the lowest Landau level. The coupling constant of the effective Thomas-Fermi functional is linked to the emergence of vortex lattices (the Abrikosov problem). We define it via a low density expansion of the energy of the corresponding homogeneous gas in the thermodynamic limit.
