Dynamics of vibrational chaos and entanglement in triatomic molecules: Lie algebraic model

doi:10.1088/1674-1056/21/7/070503

中国物理B ›› 2012, Vol. 21 ›› Issue (7): 70503-070503.doi: 10.1088/1674-1056/21/7/070503

Dynamics of vibrational chaos and entanglement in triatomic molecules: Lie algebraic model

翟良君, 郑雨军, 丁世良

School of Physics, Shandong University, Jinan 250100, China

收稿日期:2012-01-07 修回日期:2012-02-20 出版日期:2012-06-01 发布日期:2012-06-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 91021009 and 10874102) and the National Basic Research Program of China (Grant No. 2009CB929404).

Dynamics of vibrational chaos and entanglement in triatomic molecules: Lie algebraic model

Zhai Liang-Jun(翟良君), Zheng Yu-Jun(郑雨军)^†, and Ding Shi-Liang(丁世良)

School of Physics, Shandong University, Jinan 250100, China

Received:2012-01-07 Revised:2012-02-20 Online:2012-06-01 Published:2012-06-01
Contact: Zheng Yu-Jun E-mail:yzheng@sdu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 91021009 and 10874102) and the National Basic Research Program of China (Grant No. 2009CB929404).

摘要/Abstract

摘要： In this paper, the dynamics of chaos and the entanglement in triatomic molecular vibrations are investigated. On the classical aspect, we study the chaotic trajectories in the phase space. We employ the linear entropy to examine the dynamical entanglement of the two bonds on the quantum aspect. The correspondence between the classical chaos and the quantum dynamical entanglement is also investigated. As an example, we apply our algebraic model to molecule H₂O.

关键词: dynamical entanglement, classical chaos, intramolecular vibration, H₂O

Abstract: In this paper, the dynamics of chaos and the entanglement in triatomic molecular vibrations are investigated. On the classical aspect, we study the chaotic trajectories in the phase space. We employ the linear entropy to examine the dynamical entanglement of the two bonds on the quantum aspect. The correspondence between the classical chaos and the quantum dynamical entanglement is also investigated. As an example, we apply our algebraic model to molecule H₂O.

Key words: dynamical entanglement, classical chaos, intramolecular vibration, H₂O

中图分类号: (Low-dimensional chaos)

05.45.Ac

05.45.Mt (Quantum chaos; semiclassical methods) 33.20.Tp (Vibrational analysis) 03.67.Mn (Entanglement measures, witnesses, and other characterizations)

翟良君, 郑雨军, 丁世良 . Dynamics of vibrational chaos and entanglement in triatomic molecules: Lie algebraic model[J]. 中国物理B, 2012, 21(7): 70503-070503.

Zhai Liang-Jun(翟良君), Zheng Yu-Jun(郑雨军), and Ding Shi-Liang(丁世良) . Dynamics of vibrational chaos and entanglement in triatomic molecules: Lie algebraic model[J]. Chin. Phys. B, 2012, 21(7): 70503-070503.

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Dynamics of vibrational chaos and entanglement in triatomic molecules: Lie algebraic model

Dynamics of vibrational chaos and entanglement in triatomic molecules: Lie algebraic model

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