双频周期调制光晶格中单粒子的混沌动力学  

Chaotic Dynamics for Single Particle in an Optical Lattice with Biharmonic Modulation

作　　者：陈湘源 钟宏华[1] Chen Xiangyuan;Zhong Honghua(College of Physics and Mechanical Engineering, Jishou University, Jishou416000, Hunan ,China)

机构地区：[1]吉首大学物理与机电工程学院,湖南吉首416000

出　　处：《安顺学院学报》2017年第6期118-121,共4页Journal of Anshun University

基　　金：国家自然科学基金资助项目"玻色凝聚原子在宇称-时间对称中的多体量子动力学"(项目编号:11465008);湖南省自然科学基金资助项目"超冷偶极玻色量子气体在周期性驱动光学晶格中的多体量子动力学"(项目编号:2015JJ2114);湖南省教育厅重点资助项目"周期驱动的多体超冷原子体系的量子动力学及其调控"(项目编号:14A118)的阶段性成果

摘　　要：论文主要研究了一维光晶格中单粒子在双频周期调制下的混沌动力学。通过数值分析不同调制参数下的庞加莱截面,发现依赖于占比参数和相位,倍频调制既可导致原来处于高混沌区域的相空间中出现规则岛,也可使体系更容易进入高混沌区域,并对混沌与量子隧穿的关系进行研究,发现双频调制可引起分数共振隧穿。In this paper,we investigate the chaotic dynamics for a single particle held in an optical lattice with Biharmonic modulation By numerically calculating the Poincare section under different modulation parameters,we find that compared with the case of single frequency modulation,depending on parameter and phase,Biharmonic modulation can induce regulation island in original high chaotic region,and also can promote high chaotic region.Furthermore,by studying the relationship between chaos and quantum tunneling,we found that Biharmonic modulation can induce fractional resonant tunneling.

关 键 词：光晶格 混沌 庞加莱截面 

分 类 号：O562[理学—原子与分子物理]