Effects of three-body interaction on dynamic and static structure factors of an optically-trapped Bose gas

doi:10.1088/1674-1056/22/9/090314

Abstract We investigate how three-body interactions affect the elementary excitations and dynamic structure factor of a Bose-Einstein condensate trapped in a one-dimensional optical lattice. To this end, we numerically solve the Gross-Pitaevskii equation and then the corresponding Bogoliubov equations. Our results show that three-body interactions can change both the Bogoliubov band structure and the dynamical structure factor dramatically, especially in the case of the two-body interaction being relatively small. Furthermore, when the optical lattice is strong enough, the analytical results, combined with the sum-rule approach, help us to understand that: the effects of three-body interactions on the static structure factor can be significantly amplified by an optical lattice. Our predictions should be observable within the current Bragg spectroscopy experiment.

Keywords: dynamic structure factor three-body interaction optical lattice

Received: 03 April 2013
Revised: 18 April 2013
Accepted manuscript online:

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

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11004200 and 11274315).

Corresponding Authors: Qi Wei
E-mail: wqi11b@imr.ac.cn

Cite this article:

Qi Wei (漆伟), Liang Zhao-Xin (梁兆新), Zhang Zhi-Dong (张志东) Effects of three-body interaction on dynamic and static structure factors of an optically-trapped Bose gas 2013 Chin. Phys. B 22 090314

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Effects of three-body interaction on dynamic and static structure factors of an optically-trapped Bose gas

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