中国物理B ›› 2009, Vol. 18 ›› Issue (7): 2719-2723.doi: 10.1088/1674-1056/18/7/015

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Dynamical entanglement for Fermi coupled stretching and bending modes

成传明1, 侯喜文2   

  1. (1)Department of Physics and Electronic Engineering, Yunyang Teachers' College, Danjiangkou 442700, China; (2)Department of Physics, Huazhong Normal University, Wuhan 430079, China
  • 收稿日期:2008-07-06 修回日期:2008-11-06 出版日期:2009-07-20 发布日期:2009-07-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10675050).

Dynamical entanglement for Fermi coupled stretching and bending modes

Hou Xi-Wen(侯喜文)a) and Cheng Chuan-Ming(成传明)b)   

  1. a Department of Physics, Huazhong Normal University, Wuhan 430079, China; b  Department of Physics and Electronic Engineering, Yunyang Teachers' College, Danjiangkou 442700, China
  • Received:2008-07-06 Revised:2008-11-06 Online:2009-07-20 Published:2009-07-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10675050).

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摘要： The dynamical entanglement for Fermi coupled C--H stretch and bend vibrations in molecule CHD3 is studied in terms of two negativities and the reduced von Neumann entropy, where initial states are taken to be direct products of photon-added coherent states on each mode. It is demonstrated that the negativity defined by the sum of negative eigenvalues of the partial transpose of density matrices is positively correlated with the von Neumann entropy. The entanglement difference between photon-added coherent states and usual coherent states is discussed as well.

Abstract: The dynamical entanglement for Fermi coupled C--H stretch and bend vibrations in molecule CHD3 is studied in terms of two negativities and the reduced von Neumann entropy, where initial states are taken to be direct products of photon-added coherent states on each mode. It is demonstrated that the negativity defined by the sum of negative eigenvalues of the partial transpose of density matrices is positively correlated with the von Neumann entropy. The entanglement difference between photon-added coherent states and usual coherent states is discussed as well.

Key words: vibrational analysis, quantum entanglement

中图分类号:  (Quantum state engineering and measurements)

  • 42.50.Dv
03.65.Ud (Entanglement and quantum nonlocality) 33.15.Mt (Rotation, vibration, and vibration-rotation constants) 33.20.Tp (Vibrational analysis) 33.80.-b (Photon interactions with molecules)