Properties of One-Dimensional Highly Polarized Fermi GasesSupported by the National Natural Science Foundation of China under Grant Nos 11374331, 11304364 and 11534014

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 boun...

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Bibliographic Details
Published in:Chinese physics letters 2018-11, Vol.35 (11)
Main Authors: Song, Ya-Dong, Cai, Xiao-Ming
Format: Article
Language:English
Online Access:Get full text
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Summary: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.
ISSN:0256-307X
DOI:10.1088/0256-307X/35/11/110301