Floquet相空间方法分析周期驱动下原子玻色爱因斯坦凝聚体动力学  

Dynamics of periodically driven atomic Bose-Einstein condensates by Floquet phase space method

作　　者：梁炜杰 张可烨[1] Liang Weijie;Zhang Keye(School of Physics and Electronic Science,East China Normal University,Shanghai 200241,China)

机构地区：[1]华东师范大学物理与电子科学学院,上海200241

出　　处：《河南师范大学学报（自然科学版）》2023年第2期86-90,共5页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11974116);中央高校基本科研业务费专项资金资助(40500-20101-222091).

摘　　要：用相空间动力学方法研究一维无限深势阱内的原子玻色爱因斯坦凝聚体受到时域周期性微扰时的动力学行为.通过功角变换和共振频率近似,在Floquet相空间中构造有效的势场来预言玻色爱因斯坦凝聚体的运动,并通过数值模拟实空间动力学方程,验证了该方法.The dynamic behavior of atomic Bose-Einstein condensates in a one-dimensional infinite-square-well subjected to a temporal periodic perturbation is studied by the method of phase space dynamics.We construct an effective potential field in the Floquet phase space to predict the motion of the Bose-Einstein condensate through action-angle transformation and secular approximation,verifying this method by numerically solving the dynamic equation of the laboratory frame.

关 键 词：无限深方势阱 原子玻色爱因斯坦凝聚体 含时Gross-Pitaevskii方程 Floquet相空间 功角变换 

分 类 号：O413[理学—理论物理]