Modulated amplitude waves with non-trivial phase of multi-component BoseEinstein condensates in optical lattices

作者：Liu, Qihuai; Torres, Pedro J.^*; Xing, Mingyan

来源：IMA Journal of Applied Mathematics, 2019, 84(1): 145-170.

DOI：10.1093/imamat/hxy053

• modulated amplitude wave
• BoseEinstein condensate
• non-trivial phase
• rotation number
• averaging method

We study the existence of modulated amplitude waves with non-trivial phase of a quasi-1D multicomponent BoseEinstein 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 GrossPitaevskii 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.

• 出版日期2019-2
• 单位桂林电子科技大学