Thermal entanglement in a two-qubit Heisenberg XXZ spin chain under an inhomogeneous magnetic field

The thermal entanglement in a two-qubit Heisenberg \emph{XXZ} spin chain is investigated under an inhomogeneous magnetic field \emph{b}. We show that the ground-state entanglement is independent of the interaction of \emph{z}-component $J_{z}$. The thermal entanglement at the fixed temperature can be enhanced when $J_{z}$ increases. We strictly show that for any temperature \emph{T} and $J_{z}$ the entanglement is symmetric with respect to zero inhomogeneous magnetic field, and the critical inhomogeneous magnetic field $b_{c}$ is independent of $J_{z}$. The critical magnetic field $B_{c}$ increases with the increasing $|b|$ but the maximum entanglement value that the system can arrive becomes smaller.Comment: 5 EPS figure

Why does the apparent mass of a coronal mass ejection increase?

Mass is one of the most fundamental parameters characterizing the dynamics of a coronal mass ejection (CME). It has been found that CME apparent mass measured from the brightness enhancement in coronagraph images shows an increasing trend during its evolution in the corona. However, the physics behind it is not clear. Does the apparent mass gain come from the mass outflow from the dimming regions in the low corona, or from the pileup of the solar wind plasma around the CME when it propagates outwards from the Sun? We analyzed the mass evolution of six CME events. Their mass can increase by a factor of 1.6 to 3.2 from 4 to 15 Rs in the field of view (FOV) of the coronagraph on board the Solar Terrestrial Relations Observatory (STEREO). Over the distance about 7 to 15 Rs, where the coronagraph occulting effect can be negligible, the mass can increase by a factor of 1.3 to 1.7. We adopted the `snow-plough' model to calculate the mass contribution of the piled-up solar wind in the height range from about 7 to 15 Rs. For 2/3 of the events, the solar wind pileup is not sufficient to explain the measured mass increase. In the height range from about 7 to 15 Rs, the ratio of the modeled to the measured mass increase is roughly larger than 0.55. Although the ratios are believed to be overestimated, the result gives evidence that the solar wind pileup probably makes a non-negligible contribution to the mass increase. It is not clear yet whether the solar wind pileup is a major contributor to the final mass derived from coronagraph observations. However, our study suggests that the solar wind pileup plays increasingly important role in the mass increase as a CME moves further away from the Sun.Comment: 27 pages, 2 tables, 9 figures, accepted by Ap

How perceived personalities of earlier contributors influence the content generation on online knowledge-sharing platforms?

Recent years have witnessed the prevalence of online knowledge-sharing platforms, in which user management and content creation are the central issues to the governance. Interactions take place through users’ linguistics, which helps shape users’ perceived personalities in the eyes of others. To understand the impact of perceived personality on online discussions, a novel method that combines natural language processing method and unsupervised learning is developed to extract contributors’ perceived personalities based on the contents they generated on the platform, which is further validated by a lab experiment. An empirical analysis is then carried out to unpack the role of different personality dimensions on online discussions. Our results reveal that the first contributor’s perceived conscientiousness and openness exhibit a significant but contrary role on content generation. Our method and empirical analysis can provide insights into the governance of online knowledge-sharing platforms