山西大学学报（自然科学版）2025，Vol.48Issue(3)：558-564,7.DOI:10.13451/j.sxu.ns.2024035
玻色-爱因斯坦凝聚体中周期梯度磁场诱导的拉比振荡
Rabi Oscillations Induced by a Periodic Gradient Magnetic Field in a Bose-Einstein Condensate
摘要
Abstract
We study the dynamical evolution of a two-component Bose-Einstein condensate under a periodic gradient magnetic field.The research methods include analytical analysis in linear regime and numerical simulations in nonlinear regime.In linear regime,the system's wave function,evolving over time,can be analytically solved by applying the rotating wave approximation.The results reveal that the atoms of the two components in the condensate undergo Rabi oscillations under the influence of the magnetic field.By adjusting the gradient and period of the periodic gradient magnetic field,the amplitude and period of the Rabi oscillations can be easily controlled.In the nonlinear regime,we numerically solve the Gross-Pitaevskii equation and find that the results are similar to the linear case when the nonlinearity is weak.However,as the nonlinearity coefficient increases,the resonant points of the system shift,and the proportion of ground state atoms transferred to the excited state gradually decreases.The focus of this study is to,under resonant conditions,transfer ground-state atoms to the excited state through Rabi oscillations.This paves the way for further investi-gation into the dynamical characteristics of the excited state.关键词
周期调制/旋波近似/能级跃迁/共振点偏移Key words
periodic modulation/rotating wave approximation/energy level transition/resonant points shift分类
数理科学引用本文复制引用
高乐乐,罗焕波,李禄..玻色-爱因斯坦凝聚体中周期梯度磁场诱导的拉比振荡[J].山西大学学报（自然科学版）,2025,48(3):558-564,7.基金项目
国家自然科学基金(61475198) （61475198）
