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

中国物理B ›› 2013, Vol. 22 ›› Issue (9): 90314-090314.doi: 10.1088/1674-1056/22/9/090314

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

漆伟, 梁兆新, 张志东

Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China

收稿日期:2013-04-03 修回日期:2013-04-18 出版日期:2013-07-26 发布日期:2013-07-26
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11004200 and 11274315).

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

Qi Wei (漆伟), Liang Zhao-Xin (梁兆新), Zhang Zhi-Dong (张志东)

Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China

Received:2013-04-03 Revised:2013-04-18 Online:2013-07-26 Published:2013-07-26
Contact: Qi Wei E-mail:wqi11b@imr.ac.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11004200 and 11274315).

摘要/Abstract

摘要： 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.

关键词: dynamic structure factor, three-body interaction, optical lattice

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.

Key words: dynamic structure factor, three-body interaction, optical lattice

中图分类号: (Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)

03.75.Kk

03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

漆伟, 梁兆新, 张志东. Effects of three-body interaction on dynamic and static structure factors of an optically-trapped Bose gas[J]. 中国物理B, 2013, 22(9): 90314-090314.

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[J]. Chin. Phys. B, 2013, 22(9): 90314-090314.

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

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

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