Spatiotemporal pattern formation in parametrically driven two-dimensional Bose–Einstein condensates  

作　　者：Jun Wan Wen Wen Hui-jun Li 

机构地区：[1]College of Mechanics and Engineering Science,Hohai University,Nanjing 210098,China [2]Institute of Nonlinear Physics and Department of Physics,Zhejiang Normal University,Jinhua 321004,China [3]Zhejiang Institute of Photoelectronics and Zhejiang Institute for Advanced Light Source,Zhejiang Normal University,Jinhua 321004,China

出　　处：《Communications in Theoretical Physics》2024年第12期148-154,共7页理论物理通讯(英文版)

基　　金：supported by the National Natural Science Foundation of China(NSFC)under Grant Nos.12074343(WW and HJL);the Natural Science Foundation of Zhejiang Province of China under Grant No.LZ22A050002(HJL)。

摘　　要：We investigate spatiotemporal periodic patterns in harmonically trapped Bose–Einstein condensates(BECs)driven by a periodic modulation of the interaction.Resonant with the breathing mode,we show the emergence of a square lattice pattern containing two orthonormal stripes.We study the time evolutions of the lattice patterns for different driving strengths and dissipations.We find that its spatial periodicity and temporal oscillating frequency match the Bogoliubov dispersion,which is the intrinsic property of the system and relevant to the parametric amplification of elementary excitations.In the circumstances of strong driving strength and low dissipation,we further observe the triad interaction and the resulting superlattice state,which are well explained by the nonlinear amplitude equation for superimposed stripes.These results shed light on unexplored nonlinear spatiotemporal dynamics of two-dimensional patterns in harmonically trapped BECs that can pave the way for engineering exotic patterns by state-of-the-art experiments.

关 键 词：square lattice pattern spatio-temporal periodicity triad interaction 

分 类 号：O469[理学—凝聚态物理]