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

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

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

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