Properties of One-Dimensional Highly Polarized Fermi Gases
Ya-Dong Song1,2 , Xiao-Ming Cai1**
1 State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 4300712 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049
Abstract ：Using both the exact Bethe ansatz method and the variational method, we study properties of the one-dimensional Fermi polaron. We focus on the binding energy, effective mass, momentum distributions, Tan contact and correlation functions. As the attraction increases, the impurity is more tightly bound and correlated with the surrounding particles, and the size of formed polaron decreases. In addition, compared with the Bethe ansatz method, the variational method is totally qualified to study the one-dimensional Fermi polaron. The intrinsic reason is that the number of particle-hole excitations in a Fermi sea, caused by a single impurity, is always rather small. The variational method can be well extended to other impurity systems.
收稿日期: 2018-05-08
出版日期: 2018-10-23
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2018, Vol. 35 
