Yar Abdullah, Zubair Muhammad, Sabeeh Kashif
Department of Physics, Kohat University of Science and Technology, Kohat-26000, Khyber Pakhtunkhwa, Pakistan.
J Phys Condens Matter. 2020 Feb 27;32(9):095403. doi: 10.1088/1361-648X/ab5767. Epub 2019 Nov 26.
We investigate the effects of linearly polarized optical radiation on the cyclotron motion of an electron wave packet, considering the full quantum dynamics of the system. Analysis of the Landau-level (LL) spectrum reveals that only intra band cyclotron oscillation frequencies contribute to the effective oscillation frequency of the motion, whereas scattering between electron and hole Landau levels are forbidden. We find that the wave packet dynamics is significantly affected by varying the polarization direction of the electromagnetic radiation. The optical radiation is also affected by its interaction with electrons. Interestingly, we find that chaotic effects are induced by radiation in the dynamics of electron wave packet in an applied uniform magnetic field. Chaotic signatures in the dynamics are diagnosed by computing the relevant out-of-time-order correlation function and analyzed by using Poincaré maps. We attribute the appearance of such chaotic transport of electron wave packet to the nonlinear interaction between the optical radiation and internal cooperative oscillating mode produced by the interplay of relativistic (zitterbewegung) and cyclotron oscillations.
我们考虑系统的全量子动力学，研究线偏振光辐射对电子波包回旋运动的影响。对朗道能级（LL）谱的分析表明，只有带内回旋振荡频率对运动的有效振荡频率有贡献，而电子与空穴朗道能级之间的散射是被禁止的。我们发现，改变电磁辐射的偏振方向会显著影响波包动力学。光辐射也会因其与电子的相互作用而受到影响。有趣的是，我们发现在外加均匀磁场中，辐射会在电子波包的动力学中诱导出混沌效应。通过计算相关的非时序关联函数来诊断动力学中的混沌特征，并使用庞加莱映射进行分析。我们将电子波包这种混沌输运的出现归因于光辐射与由相对论性（颤动）和回旋振荡相互作用产生的内部协同振荡模式之间的非线性相互作用。
