论文标题
由于旋转轨道耦合而引起的混沌回旋和大厅轨迹
Chaotic cyclotron and Hall trajectories due to spin-orbit coupling
论文作者
论文摘要
我们证明，量规场，Rashba旋转轨道耦合（SOC）和Zeeman拆分的协同效应可以产生混乱的回旋子和颗粒的霍尔轨迹。混乱行为的物理起源是，SOC产生了对粒子速度的自旋依赖性（所谓的异常）贡献，而Zeeman场的存在减少了运动积分的数量。通过使用分析和数值论点，我们研究了混乱出现的条件，并在常规和混乱方面报告了动力学。 {我们观察到动态模式（例如混乱制度发作）对初始条件和问题参数（即SOC和/或Zeeman常数）的临界依赖性。通过分析相肖像以及Lyapunov指数频谱的分析，进一步验证了向混乱的状态的过渡。}所考虑的混乱行为可以发生在固态系统，弱偏变的等离子体以及带有合成规范领域的冷原子气体和与自旋相关的耦合中。
We demonstrate that the synergistic effect of a gauge field, Rashba spin-orbit coupling (SOC), and Zeeman splitting can generate chaotic cyclotron and Hall trajectories of particles. The physical origin of the chaotic behavior is that the SOC produces a spin-dependent (so-called anomalous) contribution to the particle velocity and the presence of Zeeman field reduces the number of integrals of motion. By using analytical and numerical arguments, we study the conditions of chaos emergence and report the dynamics both in the regular and chaotic regimes. {We observe the critical dependence of the dynamic patterns (such as the chaotic regime onset) on small variations in the initial conditions and problem parameters, that is the SOC and/or Zeeman constants. The transition to chaotic regime is further verified by the analysis of phase portraits as well as Lyapunov exponents spectrum.} The considered chaotic behavior can occur in solid state systems, weakly-relativistic plasmas, and cold atomic gases with synthetic gauge fields and spin-related couplings.
