无自旋费米气体中一维自旋轨道耦合杂质诱导的极化子研究

Study on the impurity induced polaron of one⁃dimensional spin⁃orbit coupled in spinless Fermi gas

运用变分波函数的方法,研究了处于无自旋费米海中一维自旋轨道耦合杂质形成的极化子的基本性质.研究结果显示:当杂质没有自旋轨道耦合时,极化子态的动量始终是0;当考虑杂质的一维自旋轨道耦合时,极化子态具有有限的动量,并且随着拉曼耦合强度的增大而减小;当塞曼劈裂不为0时,极化子态的动量会随着拉曼耦合强度的增大而降到0.本文研究的模型可以在现有的实验技术下实现,有助于研究极化费米气体中的少体问题.

The basic properties of polaron formed by one⁃dimensional spin orbit coupling impurities in spin⁃less Fermi gas were studied by using the variational wave function method.The results showed that the momentum of the polaron state was always 0 when the impurity had no spin⁃orbit coupling,and the polaron state had finite mo⁃mentum when the impurity had one⁃dimensional spin⁃orbit coupling,and it decreased with the increase of the Ra⁃man coupling strength.When Zeeman splitting was not zero,the momentum of polaron state would decrease to zero with the increase of Raman coupling strength.The model studied in this paper can be realized under the existing ex⁃perimental technology,which was helpful to study the few body problem in polarized Fermi gas.