Predicting Quantum Many-Body Dynamics with Transferable Neural Networks

Advanced machine learning(ML)approaches such as transfer learning have seldom been applied to approximate quantum many-body systems.Here we demonstrate that a simple recurrent unit(SRU)based efficient and transferable sequence learning framework is capable of learning and accurately predicting the time evolution of the one-dimensional(ID)Ising model with simultaneous transverse and parallel magnetic fields,as quantitatively corroborated by relative entropy measurements between the predicted and exact state distributions.At a cost of constant computational complexity,a larger many-body state evolution is predicted in an autoregressive way from just one initial state,without any guidance or knowledge of any Hamiltonian.Our work paves the way for future applications of advanced ML methods in quantum many-body dynamics with knowledge only from a smaller system.     

复调和函数及其在无穷远点的性质

本文讨论了复调和函数在无穷远点的性质,揭示出有界区域上复调和函数的两类表示式之间的关系.     

在可交换四元数空间中的双曲方程的特征边值问题

讨论了一阶和二阶双曲复方程的特征边值问题.对其中两种线性方程,分别在不同的情况下获得通解和可解条件.而对于拟线性的二阶双曲复方程,证明了解的存在性和唯一性.     

Arduino实时在线监测系统在聚甲基丙烯酸甲酯本体聚合过程中的应用

利用自主研发的实时在线监测系统，对不同聚合温度条件下，聚甲基丙烯酸甲酯（PMMA）的本体聚合过程进行实时在线监测，建立"虚拟信号值-反应时间"实时在线监测曲线.通过曲线的变化，可以清晰观察到PMMA本体聚合过程的4个阶段，即诱导期、初期、中期和后期.根据本体聚合"转化率-反应时间"S型曲线的特点，构建"虚拟信号值-反应时间-转化率"关系曲线和聚合物转化率计算公式，并提出PMMA预聚体的预测和实时在线监测方法.方法具有操作简单、实时性强、外界因素影响小和性能稳定等优点，是一种新型的实时在线分析方法.     

最小Higgs模型在ILC上可能的味改变物理迹象

在最小Higgs(LH)模型中, 由于引进了类矢量顶夸克T, 对弱作用流产生了新的影响. CKM矩阵从3×3变为4×3, 在树图下出现味改变中性流(FCNC). 本文研究了在国际高能直线对撞机(ILC)上能否通过e⁺e^－→tc+tc和e⁺e^－→WWν_eν_e→(tc+tc) ν_eν_e过程探测到LH模型所预言的FCNC信号.     

Signals of the littlest Higgs model with T-parity at eγ and ep collisions

The littlest Higgs model with T-parity predicts the existence of the neutral, weakly interacting, new gauge boson B_H, which can be seen as an attractive dark matter candidate. We study production of the new gauge boson B_H via eγ and ep collisions. We find that B_H can be abundantly produced via the subprocesses e^－γ→L^－B_H and γq→B_HQ, which might give rise to characteristic signals. Some discussions about the SM backgrounds for this kind of signals are also given.     

原位聚合法制备凝胶型离子液体／PMMA聚合物电解质

采用原位聚合法制备了含有N-甲基、丙基哌啶双三氟甲磺酰亚胺离子液体的凝胶型聚合物电解质．利用SEM和XPS测试了电解质膜与LiFePO4电极的界面状态,充放电循环后,在电解质膜与LiFePO4之间有一层薄膜,这层薄膜中含有N和S元素．结果表明,随着充放电的不断进行,凝胶型电解质中未聚合的甲基丙烯酸甲酯与电极表面的锂离子之间发生电子转移,形成SEI膜,至少要三个循环后才能形成稳定的SEI膜．随着SEI膜的增厚,放电容量增加,阻碍了电子转移,使系统更加的稳定．在不同倍率下测试了凝胶型离子液体／PMMA聚合物电解质电池性能,当充放电达到30个循环时,0．2、0．5和1C下电池比容量分别为132、128和120mAh／g．     

Associted Production of Z Boson and a Pair of New Quarks at LHC

The associated production of Z boson and a pair of new quarks at the Large Hadron Collider （LHC） is studied. The cross sections for both sequential fermions and vector-like fermions are presented. It is found that for sequential fermions the cross sections can reach 1 - 10^2 /b for heavy quark mass mQ from 1000 GeV to 200 GeV. For vector-like quarks, the cross sections are suppressed by mixing parameter sin OL. Focusing on process pp → b＇b＇, we investigate the possibility of detecting the 6l 4- 2j signal. For a b＇ with light mass and a large branching ratio of b＇ → bZ, it is found that only several signal events （ parton level ） can be produced with 1000 fb^-1 integrated luminosity. Although the signal events are rare, all the final states are produced centrally and multi lepton final states are clear at hadron collider, which could be easily detected.     

共识模型用于激光诱导击穿光谱检测泥蚶重金属铜的含量

为快速检测贝类重金属的污染,采用激光诱导击穿光谱(LIBS)结合多模型共识策略来预测泥蚶重金属铜的含量.分析铜元素的LIBS特征谱线,提取铜元素的特征峰强度、面积、峰强比等变量,分别构建多元线性回归模型,以及基于铜特征光谱区域信息构建偏最小二乘模型.在这些校正的成员模型预测残差向量间,通过拉格朗日乘数法优化各成员模型的线性组合,使共识模型的均方误差和最小,从而获得各成员模型的最优权系数.经外部预测集的验证,共识模型的预测结果优于任一成员模型,预测均方根误差为20.641mg/kg,相关系数为0.835,且预测偏差仅为-0.473,表明LIBS技术结合共识模型能用于重金属的定量检测.     

在线诊断光谱仪用光栅制作误差对光谱成像的影响及补偿

为制作应用于在线诊断光谱仪的高分辨率光栅,通过分析记录参数误差对光栅刻线密度、聚焦曲线、谱像宽度等的影响及规律,提出相应的补偿方法是必要前提。基于费马原理、光程差理论及像差理论,分析了光栅光谱性能对记录参数误差的影响及其敏感性。在光栅使用参数固定的情况下,记录角度误差对光谱性能影响较大,在光栅设计时可通过对记录角度加权的方法来提高记录角度的取值的精确度;记录臂长误差对光谱性能影响较小;记录臂长和记录角度的相对误差决定了其对光栅光谱性能影响程度。结果表明,单侧记录臂长和角度误差对光谱性能的影响,可分别通过调节两臂臂长及角度的相对误差进行补偿。由此可以确定对应用于在线监测光谱仪光栅成像质量影响较大的误差因素,并给出制作误差的相应补偿方法,降低曝光系统的调试难度,为制作在线诊断光谱仪用高分辨率光栅提供理论指导。