caa a22 4500 445866675 CHVBK 20180317145500.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1140/epjd/e2011-10476-x doi (NATIONALLICENCE)springer-10.1140/epjd/e2011-10476-x Dynamical correlations of negativity and entropy for pure and mixed states in two coupled quartic oscillators [Elektronische Daten] [Xi-Wen Hou, Ming-Fang Wan, Zhong-Qi Ma] 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. EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg, 2011 Hou Xi-Wen Department of Physics, Huazhong Normal University, 430079, Wuhan, P.R. China aut Wan Ming-Fang School of Natural Science, Wuhan University of Technology, 430079, Wuhan, P.R. China aut Ma Zhong-Qi Institute of High Energy Physics, P.O. Box 918 (4), 100049, Beijing, P.R. China aut The European Physical Journal D Springer-Verlag 62/2(2011-04-01), 279-288 1434-6060 62:2<279 2011 62 10053 https://doi.org/10.1140/epjd/e2011-10476-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1140/epjd/e2011-10476-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hou Xi-Wen Department of Physics, Huazhong Normal University, 430079, Wuhan, P.R. China aut NATIONALLICENCE 700 1- Wan Ming-Fang School of Natural Science, Wuhan University of Technology, 430079, Wuhan, P.R. China aut NATIONALLICENCE 700 1- Ma Zhong-Qi Institute of High Energy Physics, P.O. Box 918 (4), 100049, Beijing, P.R. China aut NATIONALLICENCE 773 0- The European Physical Journal D Springer-Verlag 62/2(2011-04-01), 279-288 1434-6060 62:2<279 2011 62 10053 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer