Ehrenfest Time at the Transition from Integrable Motion to Chaotic Motion
Chuan Zhao1 and Biao Wu1,2,3*
1International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China 2Wilczek Quantum Center, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China 3Collaborative Innovation Center of Quantum Matter, Beijing 100871, China
Abstract：Ehrenfest time depends differently on the Planck constant in integrable motion and chaotic motion. We study how its dependence on the Planck constant changes when there is a continuous transition from regular motion to chaotic motion. We find that the dependence is a weighted compromise between its two distinct dependences in regular and chaotic motions. The study is carried out with the system of periodically driven anharmonic oscillator. As the system is quite typical, the result may apply generally.
收稿日期: 2020-11-20
出版日期: 2021-03-02
引用本文:
. [J]. 中国物理快报, 2021, 38(3): 30502-.
Chuan Zhao and Biao Wu. Ehrenfest Time at the Transition from Integrable Motion to Chaotic Motion. Chin. Phys. Lett., 2021, 38(3): 30502-.
2021, Vol. 38 
