Lie Algebraic Approach to Dynamical Entanglement of Vibrations in Triatomic Molecules | Zendy

Hao Feng | Zendy; Ping Li | Zendy; Yujun Zheng | Zendy; Shiqian Ding | Zendy

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Lie Algebraic Approach to Dynamical Entanglement of Vibrations in Triatomic Molecules

Author(s) -

Hao Feng,

Ping Li,

Yujun Zheng,

Shiqian Ding

Publication year - 2010

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.123.215

Subject(s) - quantum entanglement , physics , von neumann entropy , algebraic number , triatomic molecule , quantum mechanics , entropy (arrow of time) , joint quantum entropy , statistical physics , lyapunov exponent , classical mechanics , mathematical physics , quantum , mathematical analysis , molecule , mathematics , nonlinear system

The relation between dynamics of quantum entanglement and dynamics of molecular vibrations is explored by the Lie-algebraic approach. The analytical expression of reduceddensity matrices is obtained by using the algebraic model. The linear entropy, von Neumann entropy and the Lyapunov function are employed to measure the quantum entanglement for various initial states, respectively. The mean values of entropy and the Lyapunov function are also discussed. Subject Index: 061

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