自旋-轨道耦合费米气体中的两体问题

项目名称： 自旋-轨道耦合费米气体中的两体问题

项目编号： No.11474315

项目类型： 面上项目

立项/批准年度： 2015

项目学科： 数理科学和化学

项目作者： 彭世国

作者单位： 中国科学院武汉物理与数学研究所

项目金额： 82万元

中文摘要： 自旋-轨道耦合效应为凝聚态物理带来了很多新奇的物理现象。最近，刚刚实现的自旋-轨道耦合超冷原子气体，为人们在可人为操控的实验平台上研究自旋-轨道耦合效应创造了宝贵条件。然而，这一新兴体系中的少体问题至今还没有引起人们的关注，在本项目中，我们将系统理论研究自旋-轨道耦合超冷费米气体中的两体问题。首先，我们针对目前已经在超冷费米气体中实现的自旋-轨道耦合类型，理论研究谐振势中Rashba和Dresselhaus等量混合自旋-轨道耦合超冷费米气体中的两体问题严格解，并考察该体系中两体问题严格解随自旋-轨道耦合强度，以及原子间相互作用强度等的变化关系。随后，我们将得到的解析公式推广到其它的自旋-轨道耦合类型。另外，我们还将研究低维自旋-轨道耦合极化费米气体中的p波共振散射性质，考察自旋-轨道耦合效应对p波束缚诱导共振的影响。本项目的理论研究成果将为未来实验研究提供重要的理论依据和坚实的物理基础。

中文关键词： 超冷费米原子气体；少体问题；自旋轨道耦合；p波相互作用；束缚诱导共振

英文摘要： The spin-orbit coupling effect has introduced lots of intriguing phenomena for condensed matter physics. Very recently, the spin-orbit coupled ultracold atomic gases are realized experimentally, which provide controllable platforms for studying the effect of the spin-orbit coupling. However, less attention has been paid to the few-body problems in these new systems. In this project, we are going to study the two-body problem in spin-orbit coupled Fermi gases systematically. Firstly, we aim to solve the two-body eigen problem with equal Rashba and Dresselhaus spin-orbit coupling, which was already realized in recent experiments. Then, we investigate the dependence of the two-body solution on the controllable strength of the spin-orbit coupling and the interatomic interaction. Subsequently, our analytical formulas may be extended to other types of the spin-orbit couplings, which are quite possibly realized in the future experimental platforms. In addition, we will also study the p-wave resonant scattering properties of polarized spin-orbit coupled Fermi gases, and investigate the influence of the spin-orbit coupling on the p-wave confinement-induced resonances. This research will provide an important theoretical basis for the future experiments of the spin-orbit coupled Fermi gases.

英文关键词： ultracold Fermi gas;few-body physics;spin-orbit coupling;p-wave interaction;confinement-induced resonance