Exact results for polaron and molecule in one-dimensional spin-1/2 Fermi gas
Mao, Runxin1; Guan, X. W.2,3; Wu, Biao1,4,5,6
刊名PHYSICAL REVIEW A
2016-10-27
卷号94期号:4
英文摘要Using exact Bethe ansatz solutions, we show that a spin-down fermion immersed into a fully polarized spin-up Fermi sea with a weak attraction is dressed by the surrounding spin-up fermions to form the one-dimensional analog of a polaron. As the attraction becomes strong, the spin-down fermion binds with one spin-up fermion to form a tightly bound molecule. Throughout the whole interaction regime, a crossover from the polaron to a molecule state is fully demonstrated through exact results of the excitation spectrum, the effective mass, binding energy and kinetic energy. Furthermore, a clear distinction between the polaron and molecule is conceived by the probability distribution, single-particle reduced density matrix, and density-density correlations, which are calculated directly from the Bethe ansatz wave function. Such a polaron-molecule crossover presents a universal nature of an impurity immersed into a fermionic medium with an attraction in one dimension.
WOS标题词Science & Technology ; Physical Sciences
类目[WOS]Optics ; Physics, Atomic, Molecular & Chemical
研究领域[WOS]Optics ; Physics
关键词[WOS]DELTA-FUNCTION INTERACTION ; FRACTIONAL-STATISTICS ; INTERACTING FERMIONS ; EXCLUSION STATISTICS ; IDEAL-GAS ; PARTICLES ; BOSONS
收录类别SCI
语种英语
WOS记录号WOS:000390047600005
内容类型期刊论文
源URL[http://ir.wipm.ac.cn/handle/112942/9990]  
专题武汉物理与数学研究所_理论与交叉研究部
作者单位1.Peking Univ, Sch Phys, Int Ctr Quantum Mat, Beijing 100871, Peoples R China
2.Chinese Acad Sci, Wuhan Inst Phys & Math, State Key Lab Magnet Resonance & Atom & Mol Phys, Wuhan 430071, Peoples R China
3.Australian Natl Univ, Dept Theoret Phys, Res Sch Phys & Engn, Canberra, ACT 0200, Australia
4.Collaborat Innovat Ctr Quantum Matter, Beijing 100871, Peoples R China
5.Zhejiang Univ Technol, Coll Sci, Wilczek Quantum Ctr, Hangzhou 310014, Zhejiang, Peoples R China
6.Hunan Normal Univ, Synerget Innovat Ctr Quantum Effects & Applicat, Changsha 410081, Hunan, Peoples R China
推荐引用方式
GB/T 7714
Mao, Runxin,Guan, X. W.,Wu, Biao. Exact results for polaron and molecule in one-dimensional spin-1/2 Fermi gas[J]. PHYSICAL REVIEW A,2016,94(4).
APA Mao, Runxin,Guan, X. W.,&Wu, Biao.(2016).Exact results for polaron and molecule in one-dimensional spin-1/2 Fermi gas.PHYSICAL REVIEW A,94(4).
MLA Mao, Runxin,et al."Exact results for polaron and molecule in one-dimensional spin-1/2 Fermi gas".PHYSICAL REVIEW A 94.4(2016).
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