论文标题
关于旋转2D二进制bose-Einstein冷凝水的稳定性
On stability of rotational 2D binary Bose-Einstein condensates
论文作者
论文摘要
我们考虑在物理学中提出的二维非线性schr {Ö} dinger方程，以模拟旋转二进制bose-内施坦冷凝水。非线性是通常的立方非线性的对数修改。正如我们在附录中所解释的那样，外部限制电势和旋转框架的存在使得很难将标准技术直接应用于构建基态。本文的目的是根据与角频率相比，根据限制电势的相对强度，分析一组能量最小化器的轨道稳定性。主要的新颖性涉及这两种效果准确补偿的关键情况（最低的兰道水平），并且通过使用与磁schr {Ö} dinger操作员相关的技术来建立轨道稳定性。
We consider a two-dimensional nonlinear Schr{ö}dinger equation proposed in Physics to model rotational binary Bose-Einstein condensates. The nonlinearity is a logarithmic modification of the usual cubic nonlinearity. The presence of both the external confining potential and rotating frame makes it difficult to apply standard techniques to directly construct ground states, as we explain in an appendix. The goal of the present paper is to analyze the orbital stability of the set of energy minimizers under mass constraint, according to the relative strength of the confining potential compared to the angular frequency. The main novelty concerns the critical case (lowest Landau Level) where these two effects compensate exactly, and orbital stability is established by using techniques related to magnetic Schr{ö}dinger operators.
