关键词: 自旋轨道耦合；费米气体；动力学振荡；孤子；拓扑超流；Majorana 边缘态；铁磁相 变；量子相位 

Abstract:

In ultracold Fermi gases, by adjusting the strength of spin orbit coupling to match Fermi energy, many novel quantum effects can be generated. In the past few decades, scholars have conducted extensive theoretical and experimental research on Fermi gases induced by one-dimensional spin orbit coupling. Compared with high-dimensional spin orbit coupling, one-dimensional spin orbit coupling, although relatively simple, is the most reliable and feasible tool for exploring basic quantum physical phenomena in experiments. This paper systematically summarizes the interesting physical phenomena of Fermi gas under one-dimensional spin orbit coupling in theoretical work. Including theoretical research on dynamic oscillation and soliton effect, topological superfluid, Majorana edge state, ferromagnetic phase transition, and quantum phase. How to achieve spin orbit coupling and observe singular phenomena in experiments is a hot and difficult research topic. We summarize several common experimental schemes and detection methods. Finally, we look forward to the research on Fermi gas induced by one-dimensional spin orbit coupling. One dimensional spin orbit coupling can provide reference for abecedarians and contribute to the study of multi body system regulated by spin orbit coupling. This paper aims to provide a reference for abecedarians in cold atomic physics to gain a deeper understanding of the physical mechanisms of multi-body systems under spin orbit coupling.

Key words: spin orbit coupling, Fermi gas, dynamic oscillation, soliton, topological superfluid; Majorana edge state, ferromagnetic phase transition, quantum phase