The effect of s-wave scattering length on self-trapping and tunneling phenomena of Fermi gases in one-dimensional accelerating optical lattices

doi:10.1088/1674-1056/24/4/040307

›› 2015, Vol. 24 ›› Issue (4): 40307-040307.doi: 10.1088/1674-1056/24/4/040307

The effect of s-wave scattering length on self-trapping and tunneling phenomena of Fermi gases in one-dimensional accelerating optical lattices

贾伟^{a b}, 豆福全^{a b}, 孙建安^{a b}, 段文山^{a b}

a College of Physics and Electronic Engineering and Joint Laboratory of Atomic and Molecular Physics of NWNU & IMP CAS, Northwest Normal University, Lanzhou 730070, China;
b College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China

收稿日期:2014-09-23 修回日期:2014-11-26 出版日期:2015-04-05 发布日期:2015-04-05
基金资助:
Project supported by the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDA01020304) and the National Natural Science Foundation of China (Grant Nos. 11275156, 91026005, 11365020, and 11047010).

The effect of s-wave scattering length on self-trapping and tunneling phenomena of Fermi gases in one-dimensional accelerating optical lattices

Jia Wei (贾伟)^{a b}, Dou Fu-Quan (豆福全)^{a b}, Sun Jian-An (孙建安)^{a b}, Duan Wen-Shan (段文山)^{a b}

a College of Physics and Electronic Engineering and Joint Laboratory of Atomic and Molecular Physics of NWNU & IMP CAS, Northwest Normal University, Lanzhou 730070, China;
b College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China

Received:2014-09-23 Revised:2014-11-26 Online:2015-04-05 Published:2015-04-05
Contact: Duan Wen-Shan E-mail:duanws@nwnu.edu.cn
Supported by:
Project supported by the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDA01020304) and the National Natural Science Foundation of China (Grant Nos. 11275156, 91026005, 11365020, and 11047010).

摘要/Abstract

摘要： We investigate the tunneling dynamics of the Fermi gases in an optical lattice in the Bose-Einstein condensation (BEC) regime. The three critical scattering lengths and the system energies are found in different cases of Josephson oscillation (JO), oscillating-phase-type self-trapping (OPTST), running-phase-type self-trapping (RPTST), and self-trapping (ST). It is found that the s-wave scattering lengths have a crucial role on the tunneling dynamics. By adjusting the scattering length in the adiabatic condition, the transition probability changes with the adiabatic periodicity and a rectangular periodic pattern emerges. The periodicity of the rectangular wave depends on the system parameters such as the periodicity of the adjustable parameter, the s-wave scattering length.

关键词: self-trapping and tunneling phenomenon, Fermi gas, one-dimensional accelerating optical lattices

Abstract: We investigate the tunneling dynamics of the Fermi gases in an optical lattice in the Bose-Einstein condensation (BEC) regime. The three critical scattering lengths and the system energies are found in different cases of Josephson oscillation (JO), oscillating-phase-type self-trapping (OPTST), running-phase-type self-trapping (RPTST), and self-trapping (ST). It is found that the s-wave scattering lengths have a crucial role on the tunneling dynamics. By adjusting the scattering length in the adiabatic condition, the transition probability changes with the adiabatic periodicity and a rectangular periodic pattern emerges. The periodicity of the rectangular wave depends on the system parameters such as the periodicity of the adjustable parameter, the s-wave scattering length.

Key words: self-trapping and tunneling phenomenon, Fermi gas, one-dimensional accelerating optical lattices

中图分类号: (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

03.75.Lm

03.75.Kk (Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow) 37.10.Jk (Atoms in optical lattices)

贾伟, 豆福全, 孙建安, 段文山. The effect of s-wave scattering length on self-trapping and tunneling phenomena of Fermi gases in one-dimensional accelerating optical lattices[J]. , 2015, 24(4): 40307-040307.

Jia Wei (贾伟), Dou Fu-Quan (豆福全), Sun Jian-An (孙建安), Duan Wen-Shan (段文山). The effect of s-wave scattering length on self-trapping and tunneling phenomena of Fermi gases in one-dimensional accelerating optical lattices[J]. Chin. Phys. B, 2015, 24(4): 40307-040307.

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The effect of s-wave scattering length on self-trapping and tunneling phenomena of Fermi gases in one-dimensional accelerating optical lattices

The effect of s-wave scattering length on self-trapping and tunneling phenomena of Fermi gases in one-dimensional accelerating optical lattices

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