Majorana stellar representation for mixed-spin (s, 1/2) systems

By describing the evolution of a quantum state with the trajectories of the Majorana stars on a Bloch sphere,Majorana’s stellar representation provides an intuitive geometric perspective to comprehend the quantum system with highdimensional Hilbert space.However,the representation of a two-spin coupling system on a Bloch sphere has not been solved satisfactorily yet.Here,a practical method is presented to resolve the problem for the mixed-spin(s,1/2)system and describe the entanglement of the system.The system can be decomposed into two spins:spin-(s+1/2)and spin-(s?1/2)at the coupling bases,which can be regarded as independent spins.Besides,any pure state may be written as a superposition of two orthonormal states with one spin-(s+1/2)state and the other spin-(s?1/2)state.Thus,the whole initial state can be regarded as a state of a pseudo spin-1/2.In this way,the mixed spin decomposes into three spins.Therefore,the state can be represented by(2s+1)+(2s?1)+1=4s+1 sets of stars on a Bloch sphere.Finally,some examples are given to show symmetric patterns on the Bloch sphere and unveil the properties of the high-spin system by analyzing the trajectories of the Majorana stars on the Bloch sphere.     

Synthesis and Crystal Structure of Ethyl 2-(6-(1,3-Dioxo-4,5,6,7-tetrahydro-1H-isoindol-2(3H)-yl)-7-fluoro-3-oxo-2H-benzo[b][1,4]oxazin-4(3H)-yl) Butanoate

The title compound ethyl 2-(6-(1,3-dioxo-4,5,6,7-tetrahydro-1H-isoindol-2(3H)-yl)-7-fluoro-3-oxo-2H-benzo[b][1,4]oxazin-4(3H)-yl) butanoate 3 was synthesized by the reaction of ethyl 2-(6-amino-7-fluoro-3-oxo-2H-benzo[b][1,4]oxazin-4(3H)-yl) butanoate with 4,5,6,7-tetraydrophthalic anhydride,and its structure was determined by X-ray single-crystal diffraction.The crystal belongs to the monoclinic system,space group P21/n with a = 9.3469(2),b = 16.7715(5),c = 13.7153(4) ,β = 104.9680(10)°,μ = 0.107 mm-1,Mr = 430.42,V = 2077.08(10) 3,Z = 4,Dc = 1.376 g/cm3,F(000) = 904,T = 296(2) K,R = 0.0508 and wR = 0.1478.     

Quantum Fisher Information for Density Matrices with Arbitrary Ranks

We provide a new expression of the quantum Fisher information （QFI） for a general system. Utilizing this expression, the QFI for a non-full rank density matrix is only determined by its support. This expression can bring convenience for an infinite-dimensional density matrix with a finite support. Besides, a matrix representation of the QFI is also given.     

新型含硫(氧)肟醚衍生物的合成、杀虫活性及其结构活性关系研究

通过1-芳基含硫(氧)酮肟与相应的拟除虫菊醇卤化物在氢氧化钠和相转移催化剂条件下反应或1-芳基含硫(氧)酮肟与相应的拟除虫菊醇卤化物的三乙基季胺盐在氢氧化钠条件下反应, 合成了1-芳基含硫(氧)酮O-苄基肟醚C1～C96共96个化合物. 它们的结构经质谱, 1H NMR, IR和元素分析确证. 生物活性测定结果表明, 该类化合物对鳞翅目和同翅目害虫表现出显著活性, C74和C93对粘虫、叶蝉的活性[LC50/(mg•L－1)]分别为1.4, 0.63和0.31, 1.2. 优于对照药氰戊菊酯.     

地震振动台实验三维全场位移测量的研究

提出一种基于高速相机双目立体视觉技术的大视场全场三维位移测量方法,用来测量地震振动台实验过程中的位移变化。给出了一种鲁棒的标志点匹配算法,基于VS2010开发环境,研发了用于振动台实验三维全场位移测量系统,设计了精度评估实验方案,验证该方法在大幅面位移测量中的精度,并利用该实验系统对高边坡模型振动台实验进行测量。结果表明:在3 m1.5 m视场范围,静态位移测量误差优于0.4 mm,动态位移测量误差优于0.5 mm,可以满足振动台实验的要求;该方法可以方便、直观地测量地震振动台实验中高边坡模型的位移场,并且测量得到X、Y、Z 3个方向位移曲线以及总位移曲线过渡自然、数据合理,是测量振动台实验全场位移变化的一种有效方法。     

薛定谔猫态的产生与探测及其对Jaynes-Cummings模型的影响

利用大失谐情况下的简并喇曼过程和双光子Jaynes-Cummings模型来产生电磁场中的宏观量子叠加态,即薛定旋风谔猫态,并探讨如何用零频检测的方法来探测这些态。研究了当电磁场初态为薛定谔猫态时,对强度耦合的Jaynes-Cummings模型中原子反转的崩塌与再生现象的影响,将在以相干态为初态所产生的原子反转的崩塌区产生不同程度的再生现象。 关键词：     

薛定谔猫态的激发态

本文引入一类新的量子态,光子数添加藤定谔猫态,它由光场产生算符反复作用在薛定谔猫态上得到,并研究了在此态上表现出的压缩效应和反聚束效应.结果表明,添加光子数有助于光场出现反聚束效应,却使压缩效应受到抑制.     

位移二项式态与位移负二项式态的性质及其与二能级原子的相互作用

提出并研究两种新的量子光场态：位移二项式态和位移负二项式态．讨论了两种量子态的光子数分布、亚泊松分布特性．结果表明：位移二项式态是介于相干态与位移粒子数态之间的一种量子中间态，在不同参数下可表现亚泊松分布和超泊松分布；位移负二项式态是介于相干态与位移Susking Glogower位相态之间的量子中间态，它只表现超泊松分布．研究了它们与二能级原子在强度耦合情况下相互作用原子反转的动力学演化. 关键词：     

一种可用于分析任意介电常数张量的各向异性波导导模的二维时域有限差分模型

为分析具有任意介电常数张量的各向异性波导的导模，本文通过把简化的二维时域有限差分（２－ＤＦＤＴＤ）法扩展至任意各向异性介质，提出了一种以Ｄ、Ｅ和Ｈ场为基础的统一的简化２－ＤＦＤＴＤ模型．利用该模型，研究了简化的复数２－ＤＦＤＴＤ方法与实变数２－ＤＦＤＴＤ方法之间的关系．文中还讨论了复变数方法和实变数方法的激励技术．     

原子空间分布对光子反聚束效应的影响

在Ｒａｍａｎ－Ｎａｔｈ近似下，我们讨论了二能级原子波包与腔内驻波场的相互作用，数值积分结果表明，原子的波包宽度对光子反聚束效应有重要影响，波包宽度的增加易使光场表现为反聚束效应。