A Feasible Scheme for Teleportation of Multi-atom Cat-like States in Thermal Cavities

An experimentally feasible scheme for implementing teleportation of multi-atom cat-like states in cavity QED is proposed. In the scheme the atoms interact simultaneously with a highly detuned cavity mode and are driven by a strong classical field, and the atomic state evolution is independent of cavity field state. Thus the scheme is insensitive to both the cavity decay and the thermal field, which is of importance from the experimental point of view. All the orthogonal and complete multi-atom GHZ states can be exactly distinguished only by one step, so our scheme can also be used for other purposes such as dense coding using multi-atom GHZ states as quantum channels.     

Dual II Heterojunctions Metallic Phase MoS2/ZnS/ZnO Ternary Composite with Superior Photocatalytic Performance for Removing Contaminants

Fabricating a high-performance photocatalyst to efficiently solve serious environmental problems is an urgent affair. Herein, a series of MoS₂/ZnO composites were successfully fabricated through a facile hydrothermal route using Na₂MoO₄, (NH₂)₂CS and urchin-like ZnO as precursors. According to the results of XRD and XPS, it was found that ZnS appeared in MoS₂/ZnO composite; meanwhile, the content was positively correlated with the weight of the precursor (NH₂)₂CS. It should be noted that the morphology and the metallic phase content of MoS₂ grown in situ on the surface of ZnO were affected by the molar ratio of Na₂MoO₄ and ZnO. Benefiting from the special dual II heterojunctions of MoS₂/ZnS/ZnO ternary composite, the material exhibited excellent charge separation and transfer performances. In the photocatalytic measurements, the MoS₂/ZnS/ZnO (Na₂MoO₄:ZnO 1:2 MZ2) composite not only exhibits excellent photocatalytic Cr^VI reduction activity of 42.3×10⁻³ min⁻¹, but also displays remarkable adsorption performance (nearly 32.1 %) for Cr₂ . In addition, the ternary composite shows dominant photocatalytic Cr^VI reduction activities compared to other photocatalysts. This work provides a high-efficient MoS₂/ZnS/ZnO ternary photocatalyst for environmental treatment.     

Hydrophobic solvent induced phase transition extraction to extract drugs from plasma for high performance liquid chromatography–mass spectrometric analysis

Novel sample preparation approaches for HPLC bioanalysis based on the phenomenon that acetonitrile can be separated from water by adding salts or cooling at subzero temperatures have been reported. These two methods are superior to conventional liquid–liquid extraction since the separated acetonitrile phase can be directly injected to the RP–LC system. However, the salting-out method suffers from a potential problem that the remained salt in the acetonitrile phase may harm the MS detector, while the subzero-temperature method is troublesome to operate. Here, we have reported a similar phase separation phenomenon that the acetonitrile aqueous mixture can be separated by adding a hydrophobic solvent; and capitalising on this phase transition phenomenon, we have proposed an alternative approach, named solvent induced phase transition extraction (SIPTE), to extract drug from plasma for HPLC–MS analysis. The proposed SIPTE method is much simpler and avoids contaminating the MS detector. Three structurally diverse drugs were selected as test compounds to design the SIPTE method and to validate the efficiency of this method. The four goals of plasma sample pretreatment for HPLC–MS analysis, i.e. removal of proteins, removal of other low-molecular interferences, preconcentration of the analytes of interest, and matching the sample solvent with the HPLC–MS system, can be rapidly performed in a very simple step by using the SIPTE method.     

Impulsive boundary value problems with nonlinear boundary conditions

In this paper, the upper and lower solution method and Schauder’s fixed point theorem are employed in the study of boundary value problems for a class of second-order impulsive ordinary differential equations with nonlinear boundary conditions. We prove the existence of solutions to the problem under the assumption that there exist lower and upper solutions associated with the problem.     

Analysis of search-extension method for finding multiple solutions of nonlinear problem

For numerical computations of multiple solutions of the nonlinear elliptic problemΔu f(u)=0 inΩ, u=0 onΓ, a search-extension method (SEM) was proposed and systematically studied by the authors. This paper shall complete its theoretical analysis. It is assumed that the nonlinearity is non-convex and its solution is isolated, under some conditions the corresponding linearized problem has a unique solution. By use of the compactness of the solution family and the contradiction argument, in general conditions, the high order regularity of the solution u∈H~(1 α),α>0 is proved. Assume that some initial value searched by suitably many eigenbases is already fallen into the neighborhood of the isolated solution, then the optimal error estimates of its nonlinear finite element approximation are shown by the duality argument and continuation method.     

Quasinormal modes in the background of charged Kaluza–Klein black hole with squashed horizons

We study the scalar perturbation in the background of the charged Kaluza–Klein black holes with squashed horizons. We find that the position of infinite discontinuities of the heat capacities can be reflected in quasinormal spectrum. This shows the possible non-trivial relation between the thermodynamical and dynamical properties of black holes.     

Multiscale algorithm with high accuracy for the elastic equations in three-dimensional honeycomb structures

In this paper, we consider the elastomechanical problems of a honeycomb structure of composite materials. A multiscale finite element method and the postprocessing technique with high accuracy are presented. We will derive the proofs of all theoretical results. Finally, some numerical tests validate the theoretical results of this paper.     

磺酸树脂在樟脑肟贝克曼裂解反应中的催化作用

我们发现以磺酸树脂作为固体酸催化樟脑肟贝克曼裂解反应可以生成α-龙脑烯腈.考察了溶剂、催化剂用量、反应温度和反应时间等对反应的影响.在优化条件下樟脑肟可以完全转化,α-龙脑烯腈选择性高达90.5%.动力学研究表明,樟脑肟在磺酸树脂催化下的贝克曼裂解反应服从准一级动力学模型,经过最小二乘法求得反应的表观活化能为64.6kJ/mol.