论文标题
Townes soliton及以后:2D中的非混合混合物
Townes soliton and beyond: Non-miscible Bose mixtures in 2D
论文作者
论文摘要
在这些讲义中,我们讨论了在零温度下bose气体的二维二元混合物的物理学,靠近两种流体倾向于降解的点。我们对两种流体(浴室)之一填充整个空间的情况感兴趣,而另一个(少数群体)包含有限数量的原子。我们讨论少数群体可以形成稳定的局部波浪包的条件,我们与著名的“索利顿镇”有关。我们讨论了这种孤子的形成以及当少数族裔成分中的原子数量增加时发生的液滴状态的过渡。我们的研究基于基于耦合的毛皮杆菌方程的宏观方法,它通过微观分析来补充,从少数群体颗粒之间的浴介导的相互作用方面进行了微观分析。
In these lecture notes, we discuss the physics of a two-dimensional binary mixture of Bose gases at zero temperature, close to the point where the two fluids tend to demix. We are interested in the case where one of the two fluids (the bath) fills the whole space, while the other one (the minority component) contains a finite number of atoms. We discuss under which condition the minority component can form a stable, localized wave packet, which we relate to the celebrated "Townes soliton". We discuss the formation of this soliton and the transition towards a droplet regime that occurs when the number of atoms in the minority component is increased. Our investigation is based on a macroscopic approach based on coupled Gross-Pitaevskii equations, and it is complemented by a microscopic analysis in terms of bath-mediated interactions between the particles of the minority component.