Controlling Three-Dimensional Electron-Electron Correlation via Elliptically Polarized Intense Laser Field

The three-dimensional electron-electron correlation in an elliptically polarized laser field is investigated based on a semiclassical model. Asymmetry parameter α of the correlated electron momentum distribution is used to quantitatively describe the electron-electron correlation. The dependence of α on ellipticity ε is totally different in three directions. For the z direction(major polarization direction), α first increases and reaches a maximum at ε = 0.275, then it decreases quickly. For the y direction in which the laser field is always absent, the ellipticity has a minor effect, and the asymmetry parameter fluctuates around α =-0.15. However, for the x direction(minor polarization direction), α increases monotonously with ellipticity though starts from the same value as in the y direction when ε = 0. The behavior of α in the x direction actually indicates a transformation from the Coulomb interaction dominated correlation to the laser field dominated correlation. Therefore, our work provides an efficient way to control the three-dimensional electron-electron correlation via an elliptically polarized intense laser field.     

Remotely Preparing a Four-Dimensional Quantum State via Positive Operator-Valued Measure

Several protocols for remote preparation of a single-quadbit state and a two-quadbit entangle state with real and complex coefficients are presented via positive operator-valued measure, respectively. In these protocols, two- and three-quadbit non-maximally entangled state(s) have been employed as the quantum channel respectively. To complete the protocols, several novel sets of single- and two-quadbit mutually orthogonal basis vectors are introduced. The advantage of the present protocols is that, if the quantum channel consists of maximally entangled state(s), all the considered RSP can be completed with unit successful probability.     

Non-Abelian Vortices in Supersymmetric Gauge Field Theory via Direct Methods

Vortices in supersymmetric gauge field theory are important constructs in a basic conceptual phenomenon commonly referred to as the dual Meissner effect which is responsible for color confinement. Based on a direct minimization approach, we present a series of sharp existence and uniqueness theorems for the solutions of some non-Abelian vortex equations governing color-charged multiply distributed flux tubes, which provide an essential mechanism for linear confinement. Over a doubly periodic domain, existence results are obtained under explicitly stated necessary and sufficient conditions that relate the size of the domain, the vortex numbers, and the underlying physical coupling parameters of the models. Over the full plane, existence results are valid for arbitrary vortex numbers and coupling parameters. In all cases, solutions are unique.     

Wall-Crossing,Free Fermions and Crystal Melting

We describe wall-crossing for local, toric Calabi-Yau manifolds without compact four-cycles, in terms of free fermions, vertex operators, and crystal melting. Firstly, to each such manifold we associate two states in the free fermion Hilbert space. The overlap of these states reproduces the BPS partition function corresponding to the non-commutative Donaldson-Thomas invariants, given by the modulus square of the topological string partition function. Secondly, we introduce the wall-crossing operators which represent crossing the walls of marginal stability associated to changes of the B-field through each two-cycle in the manifold. BPS partition functions in non-trivial chambers are given by the expectation values of these operators. Thirdly, we discuss crystal interpretation of such correlators for this whole class of manifolds. We describe evolution of these crystals upon a change of the moduli, and find crystal interpretation of the flop transition and the DT/PT transition. The crystals which we find generalize and unify various other Calabi-Yau crystal models which appeared in literature in recent years.     

Abelian Quiver Invariants and Marginal Wall-Crossing

We prove the equivalence of (a slightly modified version of) the wall-crossing formula of Manschot, Pioline and Sen and the wall-crossing formula of Kontsevich and Soibelman. The former involves abelian analogues of the motivic Donaldson–Thomas type invariants of quivers with stability introduced by Kontsevich and Soibelman, for which we derive positivity and geometricity properties.     

Letter: Extremal Rotating Dipole Solution in Four-Dimensional Heterotic String Theory

We develop new Lagrange formulation of thefour-dimensional low-energy heterotic string theory inthe stationary case. Using this formulation we derivethree non-extremal and one extremal two-dimensionalsubspaces invariant under the action of alldualities which preserve spatial field asymptotics. Forthe extremal subspace we construct the solution whichdescribes a massless rotating dipole source.     

Theta Series,Wall-Crossing and Quantum Dilogarithm Identities

Motivated by mathematical structures which arise in string vacua and gauge theories with \({{\mathcal{N}=2}}\) supersymmetry, we study the properties of certain generalized theta series which appear as Fourier coefficients of functions on a twisted torus. In Calabi–Yau string vacua, such theta series encode instanton corrections from k Neveu–Schwarz five-branes. The theta series are determined by vector-valued wave-functions, and in this work we obtain the transformation of these wave-functions induced by Kontsevich–Soibelman symplectomorphisms. This effectively provides a quantum version of these transformations, where the quantization parameter is inversely proportional to the five-brane charge k. Consistency with wall-crossing implies a new five-term relation for Faddeev’s quantum dilogarithm \({\Phi_b}\) at b = 1, which we prove. By allowing the torus to be non-commutative, we obtain a more general five-term relation valid for arbitrary b and k, which may be relevant for the physics of five-branes at finite chemical potential for angular momentum.     

Electron Motion in the Three-Dimensional Field of Undulator

In this paper we consider the motion of relativistic electrons in an ideal three-dimensional magnetic field of an undulator. The ideality of the magnetic field means that, on the undulator axis, the field is directed strictly vertically upward and has a strictly sinusoidal shape. In the overwhelming majority of cases, only this leading component of the field is taken into account in calculating the electron trajectory. In this paper, in the equations of motion of an electron in the magnetic field of an undulator, all three components of the field are taken into account, so that the undulator field under consideration satisfies the stationary Maxwell equations. In this case, the differential equations of motion of the electron are solved analytically with the help of perturbation theory, and not by the method of averaging over fast oscillations of the electron, as was done in a number of previous papers. These analytic expressions for trajectories describe the behavior of particles in the focusing magnetic field of an undulator much more completely. An analysis of these expressions shows that the behavior of electrons in such a three-dimensional field of the undulator is much more complicated than what follows from the equations obtained by the averaging method. In particular, there is a cross effect when changes in the initial vertical parameters of the electron trajectory cause changes in the horizontal component of its trajectory and vice versa. A comparison of the solutions obtained analytically with the results of numerical calculations of electron trajectories using the Runge–Kutta method demonstrates their high accuracy.     

基于平行投影法的三维流场重建

在行处理方法的基础上提出了一种基于平行投影的迭代方法，对传统的行处理方法不同，它不是通过向某一超平面作垂线进行迭代，而是作某个超平面的平行线与另一超平面相交进行迭代。与传统方法相比，它明显加快了迭代速度。     

电子学全息干涉术用于温度场测量

探讨了用电子学全息干涉术（双称数字全息干涉术）测量温度场分布及其变化的可行性，利用所设计的全息干涉实验光路，对一电烙铁头部周围温度场分布进行了实时全息记录，进而利用一维快速傅里叶变换及数字滤波处理再现出了反映温度场分布的全息干涉条纹图样，实验结果表明，与传统的光学全息干涉术相比，电子学全息干涉术借助于高分辨率CCD记录及高速计算机数字处理技术，从而可实现光学全息图的数字化记录、存储和重现。同时，利用再现物场相位倍增原理还可实现对干涉条纹数目的倍增，或利用物场相位分布的直接计算精确获取任意两点间的相位差，从而提高测量精度。此外，由于能够在不改变光路的前提下以较高的重复频率完成光学全息图的记录，电子学全息干涉术可以用于记录三维物场的变化并接近实时地再现和测量三维物场的变化规律，因此是一种极有发展前途的新型实时全息干涉计量技术。     

Parametrized Field Theory

A theory is presented in which a field depends not only on spacetime coordinates x, but also on a Lorentz-invariant parameter . Such a theory is conceptually and technically simple and manifestly covariant at every step. The generator of evolution and the generator of spacetime translations and Lorentz transformations are obtained in a straightforward way. In the quantized theory the Heisenberg equation of motion is written in a covariant form and is equivalent to the field equation. The equal commutator between the field and its canonically conjugate momentum is just proportional to the spacetime function. Finally comparison with the conventional field theory is done, and it is found that the expectation value of the momentum operator in the on shell states is the same.     

Supermulticonformal Field Theory

In this paper we develop the superspacestructure of the multicomplex space MC_n forn = 2ⁿ. We extend the basic properties of themulticomplex analysis to n the case ofSMC_n ^N, called supermulticomplex spaces: this goes from the n superanalyticitycondition to the residue theorem. The formalism of 2Dsuperconformal field theory is also developed onSMC_n ^N. We then show that the nassociated superconformal symmetry is infinite dimensional and leads ton copies of super-Virasoro algebra. This results can beapplied to construct a free-field theory on the volumeof the (n – 1)-super-brane. A model of field theory describing a bosonic case is alsopresented.     

Spin Foam Perturbation Theory for Three-Dimensional Quantum Gravity

We formulate the spin foam perturbation theory for three-dimensional Euclidean Quantum Gravity with a cosmological constant. We analyse the perturbative expansion of the partition function in the dilute-gas limit and we argue that the Baez conjecture stating that the number of possible distinct topological classes of perturbative configurations is finite for the set of all triangulations of a manifold is not true. However, the conjecture is true for a special class of triangulations which are based on subdivisions of certain 3-manifold cubulations. In this case we calculate the partition function and show that the dilute-gas correction vanishes for the simplest choice of the volume operator. By slightly modifying the dilute-gas limit, we obtain a nonvanishing correction which is related to the second order perturbative correction. By assuming that the dilute-gas limit coupling constant is a function of the cosmological constant, we obtain a value for the partition function which is independent of the choice of the volume operator. Member of the Mathematical Physics Group, University of Lisbon.     

High-Resolution Four-Dimensional HMQC-NOESY-HSQC Spectroscopy

Practical optimization of the 4D [(1)H, (13)C, (13)C, (1)H] HMQC-NOESY-HSQC experiment in terms of distribution of resolution over the indirect dimensions is analyzed in detail. Recommendations for an optimal experiment are based on computer simulations assessing the effective resolution of the experiment, defined as the percentage of all possible NOE cross peaks that can be assigned unambiguously on the basis of the spectral data alone. Using actual (13)C-(1)H spectra of an 18-kDa chaperone protein, the analysis shows that experiments with the best effective resolution are also among the most sensitive ones. When combined with an efficient aliasing scheme that reduces indirect spectral space 124-fold, a 4D experiment that yields unambiguous assignments for 41% of all possible NOE cross peaks can be recorded in 28 h. A high-resolution experiment, which can be recorded in 8 days, yields 61% unambiguous assignments and can be analyzed more easily using standard NMR display software. The predictions are verified with experimental 4D spectra from which 1850 NOEs (914 long-range) were extracted for the 18-kDa chaperone protein.     

光场显微镜实现裸眼三维实时显示

提出了一种将光场显微镜与裸眼三维显示技术相结合的方法,实现了利用光场显微镜对微观样品进行三维裸眼实时观察的技术。该技术将光场显微镜得到的子图像阵列直接投影在微透镜阵列的焦平面上,在空间一定区域内双眼可分别观看到两幅不同视角图像,使观察者产生立体视觉。该系统具有结构简单,无需相干光源,无需佩戴特殊眼镜,可多人同时观看等优点,应用前景广泛。     

On Solving Three-Dimensional Electrostatic Field Distribution by Multigrid Method

A highly efficient numerical algorithm using the multigrid method (MGM) is introduced to solve a three-dimensional (3-D)field distribution. Taking advantage of the restriction and prolongation in MGM computation, a more accurate field distribution can be acquired rapidly. According to the MGM algorithm, a 3-D program is accomplished, which can solve the field distributions in electron optical systems for various electrostatic lenses. The 3-D field distribution in an electrostatic concentric spherical model is tested with the MGM algorithm and with an algorithm based on the finite difference method (FDM). Comparing these two results in terms of computational efficiency and computational accuracy, it appears that MGM is superior to FDM, which is now used the most in field computations. This paper shows that the 3-D field computation using MGM greatly improves the computational efficiency of field distributions in electron optical systems and shortens the computational time.     

基于OpenGL的三维电场线模拟

在Visual C＋＋环境下,设计了一种基于OpenGL的三维电场线模拟软件。该软件采用微分方程法来生成电场线,可以准确地模拟不同观察视角下,静止点电荷的三维电场线。用户可以拖动鼠标随意转动观察视角,并可随意设置电荷个数、分布以及大小。