Indian Institute of Science Education and Research, Dr. Homi Bhabha Road, Pune 411 008, India.
Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Codigo Postal 62210, Cuernavaca, Mexico.
Phys Rev E. 2016 Jun;93(6):060203. doi: 10.1103/PhysRevE.93.060203. Epub 2016 Jun 30.
The relation between classically chaotic dynamics and quantum localization is studied in a system that violates the assumptions of the Kolmogorov-Arnold-Moser (KAM) theorem, namely, the kicked rotor in a discontinuous potential barrier. We show that the discontinuous barrier induces chaos and more than two distinct subdiffusive energy growth regimes, the latter being an unusual feature for Hamiltonian chaos. We show that the dynamical localization in the quantized version of this system carries the imprint of non-KAM classical dynamics through the dependence of quantum break time on subdiffusion exponents. We briefly comment on the experimental feasibility of this system.
经典混沌动力学与量子局域化之间的关系在一个违反 Kolmogorov-Arnold-Moser（KAM）定理假设的系统中进行了研究，即，在不连续势垒中的受迫转子。我们表明，不连续的势垒会引起混沌和超过两个不同的亚扩散能量增长阶段，后者是哈密顿混沌的一个不寻常特征。我们表明，通过量子化版本的系统中量子局域化对亚扩散指数的依赖，该系统的动力学局域化带有非 KAM 经典动力学的印记。我们简要地讨论了这个系统的实验可行性。
