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Chin. Phys. B, 2012, Vol. 21(7): 070503    DOI: 10.1088/1674-1056/21/7/070503
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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
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.
Keywords:  dynamical entanglement      classical chaos      intramolecular vibration      H2O  
Received:  07 January 2012      Revised:  20 February 2012      Accepted manuscript online: 
PACS:  05.45.Ac (Low-dimensional chaos)  
  05.45.Mt (Quantum chaos; semiclassical methods)  
  33.20.Tp (Vibrational analysis)  
  03.67.Mn (Entanglement measures, witnesses, and other characterizations)  
Fund: 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).
Corresponding Authors:  Zheng Yu-Jun     E-mail:  yzheng@sdu.edu.cn

Cite this article: 

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 2012 Chin. Phys. B 21 070503

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