Scalable Generation and Characterization of a Four-Photon Twelve-Qubit Hyperentangled State

An experimentally feasible scheme for generating a 12-qubit hyperentangled state via four photons, entangled in polarization, frequency and spatial mode, is proposed. We study the nature of quantum non-locality of this hyperentangled state by evaluating its violation degree to a Bell-type inequality, and find that the result agrees well with quantum mechanics prediction while extremely contradicts to the local realism constraint.Comment: 14 pages, 6 Postscript figure

On the inverse Compton scattering model of radio pulsars

Some characteristics of the inverse Compton scattering (ICS) model are reviewed. At least the following properties of radio pulsars can be reproduced in the model: core or central emission beam, one or two hollow emission cones, different emission heights of these components, diverse pulse profiles at various frequencies, linear and circular polarization features of core and cones.Comment: 5 pages, no figures, LaTeX, a proceeding paper for Pacific Rim Conference on Stellar Astrophysics, Aug. 1999, HongKong, Chin

An energy stable and maximum bound principle preserving scheme for the dynamic Ginzburg-Landau equations under the temporal gauge

This paper proposes a decoupled numerical scheme of the time-dependent Ginzburg--Landau equations under the temporal gauge. For the magnetic potential and the order parameter, the discrete scheme adopts the second type Ned${\rm \acute{e}}$lec element and the linear element for spatial discretization, respectively; and a linearized backward Euler method and the first order exponential time differencing method for time discretization, respectively. The maximum bound principle (MBP) of the order parameter and the energy dissipation law in the discrete sense are proved. The discrete energy stability and MBP-preservation can guarantee the stability and validity of the numerical simulations, and further facilitate the adoption of an adaptive time-stepping strategy, which often plays an important role in long-time simulations of vortex dynamics, especially when the applied magnetic field is strong. An optimal error estimate of the proposed scheme is also given. Numerical examples verify the theoretical results of the proposed scheme and demonstrate the vortex motions of superconductors in an external magnetic field

DESIGNING SELF-REGULATED LANGUAGE LEARNING STRATEGY INSTRUCTIONAL PROGRAM IN A BLENDED LEARNING ENVIRONMENT FOR PRE-SERVICE TEACHERS IN CHINA

Self-Regulated Learning (SRL) is considered a useful framework for strategy instruction. Teachers play a key role in designing and implementing strategy instruction; however, strategy instruction in teacher preparation program has been given less concern. Factors such as curriculum constraints, transmissive style of teaching strategies in the classroom etc. put strategy instruction in teacher education in a rather difficult position. Thus, with theoretical basis of SRL, this study proposes an alternative approach of strategy instruction in a blended learning environment to offer some insights into a strategy instructional program for teacher training. It is expected to provide an experiential and active learning experience for pre-service teachers to promote their own use of strategies in language learning as well as their knowledge of learning strategy and strategy instruction. The current article presents the results of needs analysis and describes the program’s theoretical foundation, design guidelines and outlines the program structure. Article visualizations

Category of nonlinear evolution equations, algebraic structure, and r-matrix

This paper deals with the category of nonlinear evolution equations (NLEEs) associated with the spectral problem and provides an approach for constructing their algebraic structure and $r$-matrix. First we introduce the category of NLEEs, which composes of various positive order and negative order hierarchies of NLEEs both integrable and non-integrable. The whole category of NLEEs possesses a generalized Lax representation. Next, we present two different Lie algebraic structures of the Lax operator, one of them is universal in the category,i.e. independent of the hierarchy, while the other one is nonuniversal in the hierarchy, i.e. dependent on the underlying hierarchy. Moreover, we find that two kinds of adjoint maps are $r$-matrices under the algebraic structures. In particular, the Virasoro algebraic structures without central extension of isospectral and non-isospectral Lax operators can be viewed as reductions of our algebraic structure. Finally, we give several concrete examples to illustrate our methods. Particularly, the Burgers category is linearized when the generator, which generates the category, is chosen to be independent of the potential function. Furthermore, an isospectral negative order hierarchy in the Burger's category is solved with its general solution. Additionally, in the KdV category we find an interesting fact: the Harry-Dym hierarchy is contained in this category as well as the well-known Harry-Dym equation is included in a positive order KdV hierarchy.Comment: 24 pages, 0 figure