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

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.

Keywords: self-trapping and tunneling phenomenon Fermi gas one-dimensional accelerating optical lattices

Received: 23 September 2014
Revised: 26 November 2014
Accepted manuscript online:

PACS:	03.75.Lm	(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
	03.75.Kk	(Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)
	37.10.Jk	(Atoms in optical lattices)

Fund: 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).

Corresponding Authors: Duan Wen-Shan
E-mail: duanws@nwnu.edu.cn

Cite this article:

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 2015 Chin. Phys. B 24 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

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