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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
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| Cite this article: |
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Chuan Zhao and Biao Wu 2021 Chin. Phys. Lett. 38 030502 |
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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.
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Received: 20 November 2020
Published: 02 March 2021
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| Fund: Supported by the National Key R&D Program of China (Grants Nos. 2017YFA0303302 and 2018YFA0305602), the National Natural Science Foundation of China (Grant No. 11921005), and the Shanghai Municipal Science and Technology Major Project (Grant No. 2019SHZDZX01). |
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