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The European Physical Journal D

, Volume 62, Issue 2, pp 279–288 | Cite as

Dynamical correlations of negativity and entropy for pure and mixed states in two coupled quartic oscillators

  • Xi-Wen HouEmail author
  • Ming-Fang Wan
  • Zhong-Qi Ma
Regular Article

Abstract

Various measures of entanglement have triggered considerable interest in the relationship between entanglement measures and other well-known quantities. As a demonstration, the dynamical correlation of negativity and entropy is studied in two coupled quartic oscillators for initial pure and mixed states that are respectively taken to be the products and mixed density matrices of coherent states and squeezed states on each oscillator. The correlation with energy is also considered. It is shown that for the initial pure states with a small magnitude, two negativities are positively correlated with the von Neumann entropy while they are anti-correlated with the energy of each oscillator in the weak coupling regime. For mixed states with a small magnitude the two negativities and the mutual entropy exhibit dominantly positive correlation, whereas those three quantities are dominantly anti-correlated with the sum of energies of two oscillators in the case of weak interactions. Such correlation behaviors in the mixed state with small magnitudes are most striking at the same step in maximal and minimal values and in oscillation. The differences in entropies and negativities between coherent states and squeezed states are discussed. These are useful for quantum entanglement and quantum information processing.

Keywords

Entropy Coherent State Mixed State Pure State Small Magnitude 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Department of PhysicsHuazhong Normal UniversityWuhanP.R. China
  2. 2.School of Natural ScienceWuhan University of TechnologyWuhanP.R. China
  3. 3.Institute of High Energy PhysicsBeijingP.R. China

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