Modulated amplitude waves with non-trivial phase of multi-component Bose–Einstein condensates in optical lattices. (9th October 2018)

• Record Type: Journal Article
• Authors: Liu, Qihuai; Torres, Pedro J; Xing, Mingyan
• Is Part Of: IMA journal of applied mathematics. Volume 84:Number 1(2019)
• Page Start: 145
• Page End: 170
• Publication Date: 2018-10-09
• Subjects: modulated amplitude wave -- Bose–Einstein condensate -- non-trivial phase -- rotation number -- averaging method; Mathematics -- Periodicals; Mathematics; Periodicals; 519
• DOI: 10.1093/imamat/hxy053
• Languages: English
• ISSNs: 0272-4960

Abstract

Abstract: We study the existence of modulated amplitude waves with non-trivial phase of a quasi-1D multicomponent Bose–Einstein condensate (BEC) in the presence of an external periodic potential. Mathematically, such coherent structures are doubly periodic solutions, in space and time, of a coupled system of Gross–Pitaevskii equations. For a binary BEC, the weak interaction regime is tackled by means of the averaging method and regular perturbation theory. The case of strong particle interaction is covered by a simple rescaling argument. One of the components is stationary, while the second component has non-trivial phase, meaning that there is circulation of matter only of the second component. The case of three components is briefly discussed as well.