Electronic structure and magnetic properties of rare-earth perovskite gallates from first principles

The density functional calculation is performed for centrosymmetric(La–Pm) GaO_3 rare earth gallates, using a full potential linear augmented plane wave method with the LSDA and LSDA+U exchange correlation to treat highly correlated electrons due to the very localized 4f orbitals of rare earth elements, and explore the influence of U = 0.478 Ry on the magnetic phase stability and the densities of states. LSDA+U calculation shows that the ferromagnetic(FM) state of RGaO_3 is energetically more favorable than the anti-ferromagnetic(AFM) one, except for LaGaO_3 where the NM state is the lowest in energy. The energy band gaps of RGaO_3 are found to be in the range of 3.8–4.0 eV, indicating the semiconductor character with a large gap.     

Weak value amplification via second-order correlated technique

We propose a new framework combining weak measurement and second-order correlated technique.The theoretical analysis shows that weak value amplification(WVA) experiment can also be implemented by a second-order correlated system.We then build two-dimensional second-order correlated function patterns for achieving higher amplification factor and discuss the signal-to-noise ratio influence.Several advantages can be obtained by our proposal.For instance,detectors with high resolution are not necessary.Moreover,detectors with low saturation intensity are available in WVA setup.Finally,type-one technical noise can be effectively suppressed.     

一类相依两险种风险模型的分类破产概率

本文考虑文[1]中引入的一类索赔达到计数过程相关的两险种风险模型.利用更新方法,获得了该风险模型的分类破产概率的渐进结果,并给出了指数索赔情形下分类破产概率的表达式,从而改进了文[1]中的相关结果.     

Thin film substrates from the Raman spectroscopy point of view

We have investigated ten standard single crystal substrates of complex oxides on the account of their applicability in the Raman spectroscopy‐based thin film research. In this study, we suggest a spectra normalization procedure that utilizes a comparison of the substrate's Raman spectra to those of well‐established Raman reference materials. We demonstrate that MgO, LaGaO₃, (LaAlO₃)_0.3(Sr₂AlTaO₆)_0.7 (LSAT), DyScO₃, YAlO₃, and LaAlO₃ can be of potential use for Raman‐based thin film research. At the same time TiO₂ (rutile), NdGaO₃, SrLaAlO₄, and SrTiO₃ single crystals exhibit multiple phonon modes accompanied by strong Raman background that substantially hinder Raman‐based thin film experiments. Copyright © 2014 John Wiley & Sons, Ltd.     

Propagation of local excitations through strongly correlated quantum chains

The propagation of an external transverse magnetic signal acting locally on a 1d chain of spins generates a disturbance which runs through the system. This quantum effect can be interpreted as a classical travelling wave which contains a superposition of a large set of frequencies depending on the size of the chain. Its local amplitude fixes the size of the z-component of the spins at any location in the chain. The average and maximum value of the group velocity are determined and compared with the transmission velocity fixed by the Lieb-Robinson upper bound inequality.     

Copula models for insurance claim numbers with excess zeros and time-dependence

This paper develops two copula models for fitting the insurance claim numbers with excess zeros and time-dependence. The joint distribution of the claims in two successive periods is modeled by a copula with discrete or continuous marginal distributions. The first model fits two successive claims by a bivariate copula with discrete marginal distributions. In the second model, a copula is used to model the random effects of the conjoint numbers of successive claims with continuous marginal distributions. Zero-inflated phenomenon is taken into account in the above copula models. The maximum likelihood is applied to estimate the parameters of the discrete copula model. A two-step procedure is proposed to estimate the parameters in the second model, with the first step to estimate the marginals, followed by the second step to estimate the unobserved random effect variables and the copula parameter. Simulations are performed to assess the proposed models and methodologies.     

噪声相互关联时间对Logistic系统亚稳态稳定性的影响

研究了噪声交叉关联时间对Logistic 系统亚稳态稳定性的影响.利用最陡下降法导出了系统亚稳态到稳态的平均第一通过时间的表达式. 数值计算结果表明:内噪声、外噪声、 内外噪声的相互关联时间削弱了亚稳态的稳定性,而内外噪声的关联增加了亚稳态的稳定性.     

基于光子晶体光纤的高纯度量子关联光子对的制备

使用脉冲光在室温下抽运一根长1 m 的高非线性光子晶体光纤, 产生了中心波长分别位于830 nm 和1411 nm的具有量子关联性的闲频与信号光子. 实验中闲频和信号通道的带宽分别是15 nm和35 nm. 对单通道光子计数率的拟合结果显示光子几乎全部来源于光纤中的自发四波混频过程, 未受到Raman散射噪声的影响. 当闲频和信号通道的光子产生率约为每脉冲0.0085个时, 测得符合计数率与随机符合计数率的比值为102, 接近理论极限, 不仅证明了光子对的低噪声性, 而且表明所产生的光子对本身具有窄带频谱特性, 因而实验中对其收集效率很高. 此外, 这种高纯度关联光子对还联接了不同波段, 在量子信息技术中有着潜在的应用.     

蒙特卡罗模拟中相关变量随机数序列的产生方法

蒙特卡罗模拟有时需要对多维相关随机变量进行模拟抽样．本文介绍基于Choesky因子线性变换一非线性变换产生具有指定边缘分布和相关系数的多维相关随机变量抽样序列的一般方法,给出一种简单易行的高效数值实现途径和一些模拟结果．模拟结果表明,该方法产生的各随机变量抽样序列间具有预期要求的相关性,并能通过指定边缘分布Kolmogorov—Smimov非参数假设检验．对该方法应用中的一些限制问题进行了讨论．     

带有免赔额调整的车险奖惩系统及其最优自留额

考虑了带有免赔额调整的车险奖惩系统.利用无差别原理,将奖惩系统惩罚等级中增收保费的部分或全部用添加免赔额的方式替代,给出了替代后奖惩系统最优自留额的递推计算公式.最后,给出一个例子并分析了免赔额与平均最优自留额的关系.