Heisenberg-limited Measurements and Sub-Planck Structures in Phase Space

It is shown how sub-Planck phase-space structures can be used to achieve Heisenberg-limited sensitivity in weak force measurements. Nonclassical states of harmonic oscillators, such as superpositions of coherent states, are shown to be useful for the measurement of weak forces that cause translations or rotations in phase space, which is done by entangling the quantum oscillator with a two-level system. This method is closely related to the Loschmidt echo techniques employed in nuclear magnetic resonance experiments. Implementations of this strategy in cavity QED and ion traps are described.     

Single Qubit and Its Universal Logic Gate Made of a Heisenberg Spin Cluster with Five Particles

We investigate an anisotropic Heisenberg spin cluster with five particles controlled by a time-dependent magnetic field. With the algebraic dynamical method, we obtain the exact analytical solution to the time dependent Schr6dinger equation. Based on the analytical solution, it is shown that the system can be used as a universal single qubit logic gate controlled by the strength and frequency of the magnetic field, and the six special single qubit logic gates can be realized physically. We also discuss the anti-decoherence property of the qubit and its logic gates resulted from particle coupling effect and collectivity of the cluster.     

不对称四核环状Co3^IIM^II簇合物的磁化学

本文用一种新的方法对三个核环状化合物Co3Fe(mp)4(Hmp)(PBu3^n)3(1) Co4(mp)4(Hmp)(PMe2Ph)3(2)(H2mp=2-巯基苯酚)和Co4(mp)4(PBu3^n)3Cl(MeOH)(3)进行了1。5-300K温度范围的磁性质研究, 即在各向同性海森堡模型的基础上, 用全矩阵对角化方法求自旋态能量本征值, 从而得到化合物的磁化率, 然后用阻尼最小二乘法拟合变温磁化率, 得到磁交换常数。因避免了使用Kambe理论, 无须对化合物进行模型简化处理, 所以得到更多、更准确的磁交换信息。拟合结果显示三个化合物都呈较弱的磁偶合作用。对化合物1得到J1=-3.14cm^-^1, J2=-3.04cm^-^1, J3=2.92cm^-^1和J4=4.08cm^-^1, 对2得到J1=-3.07cm^-^1, J2=-3.19cm^-^1,J3=-0.33cm^-^1和J4=-1.91cm^-^1; 对3得到J1=-4.818cm^-^1,J2=-4.244cm^-^1, J3=-1.164cm^-^1和J4=-2.634cm^-^1, 其中J1和J2代表通过双重μ2-S桥, J3和J4分别代表通过单重和双重μ2-O桥进行的磁交换作用常数。     

1927年2月：海森堡的测不准原理

1927年2月,年轻的海森堡（Werner Heisenberg）发展出了量子理论中的一个主要关键——测不准原理,涵义极为深远。 1901年12月,海森堡诞生于德国一个中上阶级的学术家庭。孩童时期,他喜欢数学和科技小机件,老师们都认为他极有天赋。     

Characteristics of Entanglement Wave in Two Parallel Spin Chains

Based on the solvable spin-1/2 Heisenberg chain we demonstrate how two many-body systems are entangled due to their partial entanglement. The entanglement wave in the two spin chains displays a damped oscillation if the spin number is N 〉 3, and only propagates with a certain velocity depending on the coupling constant J. Moreover, the entanglement wave will be reflected on the other ends of the two spin chains. A simple scheme for transferring some special two-qubit states to other two distant qubits is also proposed.     

混合Heisenberg自旋体系动态相变的滞后标度

采用Monte Carlo方法对离散混合经典Heisenberg自旋体系在周期性外场驱动下动态相变行为进行了模拟计算.在典型Heisenberg自旋体系的哈密顿量基础上,引入表征非晶相的随机各向异性能项(比例为X)和表征晶体相的单轴各向异性能项(比例为1-X),考察了该混合自旋体系磁滞后回线面积A_area随X和单轴各向异性常数A及随机各向异性常数D的变化规律,并确定了该类自旋体系动态相变新的滞后标度关系A_area-A^δD^{η关键词： 海森堡模型 Monte Carlo模拟 磁滞标度 非晶纳米晶}     

Smooth solutions for a stochastic hydrodynamical equation in Heisenberg paramagnet

In this article, we consider a stochastic hydrodynamical equation in Heisenberg paramagnet driven by additive noise. We prove the existence and uniqueness of smooth solutions to this equation with difference method.     

Multipartite Entanglement in Heisenberg Model

The effects of anisotropy and magnetic field on multipartite entanglement of ground state in Heisenberg XY model are investigated. The multipartite entanglement increases as a function of the inverse strength of the external field when the degree of anisotropy is finite. There are two peaks when the degree of anisotropy is γ=±1. When the degree of anisotropy increases further, the multipartite entanglement will decrease and tend to a constant. The threshold of the inverse strength of the external field for generating multipartite entanglement generally decreases with the increasing of qubits.     

Hardy-Type Inequalities on H-Type Groups andAnisotropic Heisenberg Groups

The author obtains some weighted Hardy-type inequalities on H-type groups and anisotropic Heisenberg groups. These inequalities generalize some recent results due to N. Garofalo, E. Lanconelli, I. Kombe and P. Niu et al.