Superfluid fermi gas in optical lattices: self-trapping, stable, moving solitons and breathers

We predict the existence of self-trapping, stable, moving solitons and breathers of Fermi wave packets along the Bose-Einstein condensation (BEC)-BCS crossover in one dimension (1D), 2D, and 3D optical lattices. The dynamical phase diagrams for self-trapping, solitons, and breathers of the Fermi matter waves along the BEC-BCS crossover are presented analytically and verified numerically by directly solving a discrete nonlinear Schr?dinger equation. We find that the phase diagrams vary greatly along the BEC-BCS crossover; the dynamics of Fermi wave packet are different from that of Bose wave packet.     

An extended clique degree distribution and its heterogeneity in cooperation-competition networks

After Xiao et al. [W.-K. Xiao, J. Ren, F. Qi, Z.W. Song, M.X. Zhu, H.F. Yang, H.Y. Jin, B.-H. Wang, Tao Zhou, Empirical study on clique-degree distribution of networks, Phys. Rev. E 76 (2007) 037102], in this article we present an investigation on so-called k-cliques, which are defined as complete subgraphs of k (k>1) nodes, in the cooperation-competition networks described by bipartite graphs. In the networks, the nodes named actors are taking part in events, organizations or activities, named acts. We mainly examine a property of a k-clique called “k-clique act degree”, q, defined as the number of acts, in which the k-clique takes part. Our analytic treatment on a cooperation-competition network evolution model demonstrates that the distribution of k-clique act degrees obeys Mandelbrot distribution, P(q)∝(q+α)^−γ. To validate the analytical model, we have further studied 13 different empirical cooperation-competition networks with the clique numbers k=2 and k=3. Empirical investigation results show an agreement with the analytic derivations. We propose a new “heterogeneity index”, H, to describe the heterogeneous degree distributions of k-clique and heuristically derive the correlation between H and α and γ. We argue that the cliques, which take part in the largest number of acts, are the most important subgraphs, which can provide a new criterion to distinguish important cliques in the real world networks.     

遗传算法结合不同势研究Irn(n=2-60)团簇结构特性

采用Gupta势和Sutton-Chen势结合遗传算法系统地研究了Irn(n=2～60)团簇的基态结构特性.结果表明:在所讨论的尺寸范围内,n≥4时Gupta势比Sutton-Chan势描述的铱团簇的平均束缚能稍高;n=2～60间,大部分Ir团簇在两种势下具有相同的几何结构,在n=22、29、35、37时两种势描述的团簇对称性不同.两类势都表明:在铱团簇的生长中,存在类Ih构型、类fcc构型和类十五面体构型之间的竞争;总体上,铱团簇的平均束缚能、平均近邻原子间距及平均配位数均随原子数目的增加而增大.两种势所描述的铱团簇具有相同的幻数序列(13、19、23、38和55).     

Group 12 metal zwitterionic thiolate compounds: preparation and structural characterization

Reactions of TabHPF(6) (Tab = 4-(trimethylammonio)benzenethiolate) with three equiv. of M(OAc)(2)·2H(2)O (M = Zn, Cd) gave rise to two tetranuclear adamantane-like compounds, [M(4)(μ-Tab)(6)(Tab)(4)](PF(6))(8)·S (·S: M = Zn, S = DMF·4H(2)O; ·S: M = Cd, S = DMF·5H(2)O). The similar reactions of MCl(2) (M = Zn, Cd, Hg) with four equiv. of TabHPF(6) in the presence of Et(3)N afforded three mononuclear compounds [M(Tab)(4)](PF(6))(2)·S (·S: M = Zn, S = 2(H(2)O)(0.5); ·S: M = Cd, S = 2(H(2)O)(0.5); ·S: M = Hg, S = 2DMF). Treatment of the precursor complex or with equimolar MCl(2) and two equiv. of TabHPF(6) and Et(3)N produced one dinuclear compounds [M(μ-Tab)(Tab)(2)](2)(PF(6))(4)·2DMF·2H(2)O (·2DMF·2H(2)O: M = Zn; ·2DMF·2H(2)O: M = Hg) while analogous reactions of with CdCl(2)·2H(2)O gave rise to [Cd(μ-Tab)(2)(Tab)](2)(PF(6))(4)·2DMF (·2DMF). These compounds were characterized by elemental analysis, IR spectra, UV-Vis spectra, (1)H NMR and single-crystal X-ray crystallography. In or , four M(2+) ions and six S atoms of Tab ligands constitute an adamantane-like [M(4)(μ-S)(6)] cage in which each M(2+) ion is tetrahedrally coordinated by one terminal S and three bridged S atoms from four different Tab ligands. In , each M(2+) center of the [M(Tab)(4)](2+) dication is tetrahedrally coordinated by four S atoms of Tab ligand. Two [M(Tab)(2)](2+) dications in or are further bridged by a pair of Tab ligands to form a dimeric [M(μ-Tab)(Tab)(2)](2)(4+) structure. Each dimeric [(Tab)Cd(μ-Tab)(2)Cd(Tab)](4+) unit in is linked to its two neighboring units via two couples of bridging Tab ligands, thereby generating a unique 1D cationic chain. These results may provide useful information on interpreting structural data of MTs containing group 12 metals.     

冬季大气遥相关和海温关键区的复杂网络性质

基于大气遥相关指数和海表温度关键区,以各关键区高度场平均值和海表温度关键区平均值之间的相关系数作为连边条件,建立体现大气遥相关和海表温度关键区相互作用的关联网络,进而给出了大气和海洋关键区相互作用的空间图像.同时基于网络的结构特征量,研究了该网络的基本性质,给出了关键区中的网络关键节点,并分析了关键节点对网络性质的影响.研究结果表明:大气遥相关和海温关键区关联网络具有一定的小世界性质,即网络具有小的平均路径长度和较大的集群系数;网络的平均路径长度在阈值为0.1—0.4时系统基本保持稳定,即网络的性质保持不变,进而证明了以信度为0.01下的相关系数0.19作为连边阈值的有效性.对于网络中的单个节点网络特征分析发现,东亚-太平洋遥相关1区和2区以及太平洋-北美遥相关1区和4区在网络中具有较大的节点度,即大气中这4个区域在大气遥相关和海表温度关键区中作用较强;北太平洋涛动区域1,东亚-太平洋遥相关区域3的节点度则相对最小,即这个区域在大气遥相关和海表温度关键区相互作用中的影响较小.通过依次去除网络中度大的节点进一步证明了网络具有一定的鲁棒性.该研究对于重点把握遥相关和海温的一些重要区域具有一定指示意义,也从另一角度提供了研究海气相互作用新方法.     

A Quantum Multi-proxy Multi-blind-signature Scheme Based on Genuine Six-Qubit Entangled State

In this paper, a very efficient and secure multi-proxy multi-blind-signature scheme is proposed which is based on controlled quantum teleportation. Genuine six-qubit entangled state functions as quantum channel. The scheme uses the physical characteristics of quantum mechanics to guarantee its unforgeability, undeniability, blindness and unconditional security.     

间苯二甲酰腙分子钳的合成及阴离子识别研究

设计合成了3种新型间苯二甲酰腙类化合物,利用UV-Vis及¹H NMR考察了其与F^-、Cl^-、Br^-、I^-、CH₃COO^-、HSO₄^-、H₂PO4-、ClO4-阴离子的相互作用。结果表明,主体分子4a(双对硝基苯并呋喃甲醛间苯二甲酰腙)在DMSO溶液中对F-和CH₃COO-有显著识别效果,溶液颜色由黄色变为深黄色和棕红色。通过¹H NMR滴定及质子溶剂效应进一步证明,主体分子与阴离子之间是以氢键作用方式相结合。Job曲线表明,主客体间形成1：1型氢键络合物。基于实验结果,探讨了主客体间形状和大小匹配对识别能力的影响以及主客体之间的识别模式。     

Bose-Einstein Condensates in Optical Lattices with Higher-Order Interactions

The higher-order interactions of Bose-Einstein condensate in multi-dimensional optical lattices are discussed both analytically and numerically.It is demonstrated that the effects of the higher-order atomic interactions on the sound speed and the stabilities of Bloch waves strongly depend on the lattice strength.In the presence of higher-order effects,tighter and high-dimensional lattices are confirmed to be two positive factors for maintaining the system's energetic stability,and the dynamical instability of Bloch waves can take place simultaneously with the energetic instability.In addition,we find that the higher-order interactions exhibit a long-range behavior and the long-lived coherent Bloch oscillations in a tilted optical lattice exist.Our results provide an effective way to probe the higher-order interactions in optical lattices.     

Si(111)衬底上ZnO薄膜的磁控溅射法制备及表征

采用磁控溅射法在(111)单晶硅衬底上沉积了ZnO薄膜,并研究了退火温度对ZnO薄膜晶体质量、晶粒度大小、应力和光致发光谱的影响.X射线衍射(XRD)表明薄膜为高度c轴择优取向.不同退火温度下的ZnO薄膜应力有明显变化,应力分布最为均匀的退火温度为500℃.室温下对ZnO薄膜进行了光谱分析,可观测到明显的紫光发射(波长为380nm左右).实验结果表明,用磁控溅射法在单晶硅衬底上能获得高质量的ZnO薄膜.