排斥抛物势中相互作用时空调控的超冷玻色气体孤子的反射、局域、穿越与振荡行为操控  

Reflection,Localization,Transmission,and Oscillation Behaviors of Solitons in Ultracold Bose Gases with Spatiotemporally Modulated Interactions in an Expulsive Parabolic Potential

作　　者：何章明[1] 朱钱泉 潘湘 He Zhangming;Zhu Qianquan;Pan Xiang(College of Science,Hunan University of Technology,Zhuzhou 412007,Hunan,China)

机构地区：[1]湖南工业大学理学院,湖南株洲412007

出　　处：《光学学报》2023年第13期277-285,共9页Acta Optica Sinica

基　　金：国家自然科学基金(11975094,12005057)。

摘　　要：考虑原子间相互作用随时间变化,首先基于Darboux变换法,得到一维无量纲的非线性薛定谔方程的孤子解,发现排斥抛物势中超冷原子之间随时间呈指数增加(减小)的相互作用对孤子有一个阻力(推力)作用。然后,利用直接数值模拟的方法研究了排斥抛物势中相互作用时空调控的超冷玻色气体孤子动力学行为,发现:当原子间相互作用不变时,存在一个临界速率;当原子间相互作用随空间坐标变化时,不但孤子的临界局域速率会变小,而且即使初始速率为0,孤子也可穿过势垒,并产生一个周期性振荡行为,振荡周期可通过改变囚禁频率和原子间相互作用来调控。相关结果可为超冷玻色气体在量子信息方面的应用提供一定的参考。Objective The experimental realizations of collisionally inhomogeneous ultracold Bose gases have not only greatly broadened the research scopes of ultracold atomic physics but also provided an ideal platform to explore novel quantum phenomena.Especially,studies on the peculiar properties and the novel quantum states and their quantum control in collisionally inhomogeneous ultracold Bose gases have been hot topics in the fields of both ultracold atomic physics and quantum information.The bright solitons of ultracold Bose gases have potential applications in quantum information,atomic interferometers,and atom lasers.Gertjerenken et al.predicted that the bright-bright solitons could be used to generate Bell states.Helm et al.found that the division and fusion of bright solitons in the ultracold Bose gases trapped in the ring well could be used to implement the Sagnac interferometer.Furthermore,in the composite potential composed of harmonic trap potential and Rosen-Morse barrier,the collision of the bright soliton can also be applied to the interferometer.In addition,stable propagation of bright solitons can be used to achieve atomic lasers.The precise control of the bright soliton in ultracold Bose gases is particularly important for the application of ultracold Bose gases.Experiments have confirmed that the ultracold Bose gases can be controlled by adjusting the external potential and the interaction strength between atoms.With the development of experimental techniques,atomic interactions can be tuned by utilizing Feshbach resonance.In theoretical studies,several forms of time-dependent atomic interactions,such as the exponential function and the periodic function,have been proposed.The changed atomic interaction has an important effect on the properties of bright solitons in the ultracold Bose gases.For example,as atomic interaction increases,the amplitude of the bright soliton in the ultracold Bose gases increases,and its width decreases.When the atomic interaction exceeds a critical value,a transition behavior

关 键 词：量子光学 超冷玻色气体 亮孤子 原子间相互作用 

分 类 号：O469[理学—凝聚态物理]