个人信息Personal Information
教授
博士生导师
硕士生导师
主要任职:物理学院党委书记
其他任职:无
性别:男
毕业院校:大连理工大学
学位:博士
所在单位:物理学院
学科:理论物理
办公地点:313
Influence of localization transition on dynamical properties for an extended Aubry- Andre-Harper model
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论文类型:期刊论文
发表时间:2017-12-14
发表刊物:JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS
收录刊物:SCIE、EI
卷号:50
期号:23
ISSN号:0953-4075
关键字:localization transition; adiabatic pumping; Lyapunov control
摘要:We show the localization transition and its influence on two dynamical processes of an extended Aubry-Andre-Harper model with incommensurate on-site and hopping potentials. After specifying an extended Aubry-Andre-Harper model, we check the localization transition for all the eigenstates and eigenenergy band splitting behavior versus a system parameter. To check the influence of localization transition on dynamical processes, firstly, the slowly pumping of edge states are examined. The adiabatic pumping is suppressed in the localized region. Then by quantum Lyapunov control method in terms of different control Hamiltonians, we prepare an edge-localized state in the nonlocal region. The control effect is suppressed in the localized region compared to that in the nonlocal region. In the dynamical processes, the system acts as conductor for the excitation in the nonlocal region and insulator in the localized region. Then we adopt the occupation imbalance between even and odd sites and entropy to indicate the localization transition further. Finally, the experimental schemes based on cold atoms trapped in quasiperiodic optical lattice and coupled optical waveguide arrays are suggested.