手性超流体具有时间反演对称性破缺导致的手性以及在BCS配对范围的拓扑性质，是凝聚态物理研究的前沿热点问题。本项目聚焦不同约束势场和几何形状下的二维手性超流体（包括p+ip波, d+id波, f+if波等高阶手性超流体），分别利用Bogoliubov-de Gennes方程与严格证明相结合的方法、Ginzburg-Landau理论，关注谱流从BEC到BCS范围的演化，研究轨道角动量和物质流及其空间分布、系统的约束势场或边界条件以及系统的几何形状对谱流的影响、p+ip超流体与其他高阶超流体角动量性质差异的原因。

Chiral superfluids break time-reversal symmetry and they are topological superconductors in the BCS pairing regime, attracting a tremendous amount attention in the past few years in condensed matter physics. This project investigates the two-dimensional chiral superfluids (including $p+ip$, $d+id$ and $f+if$-wave chiral superfluids) in different confining potentials and geometries, focusing on the evolution of spectral flow from BEC to BCS regime. This project mainly studies the orbital angular moment, mass current and their distributions, the effects of confining potentials or boundary and system geometries on the spectral flow, and the understanding of the origin why $p+ip$-wave chiral superfluids is different with other higher order chiral superfluids in the property of orbital angular momentum. This project plans to apply a combination of methods by Bogoliubov-de Gennes equation and rigorous proof, and Ginzburg-Landau theory.