Dynamics of Fokker-Planck Equation with Logarithmic Coefficients and Its Application in Econophysics

We demonstrate that Fokker Planck equations with logarithmic factors in diffusion and drift terms can be straightforwardly derived from the class of ＂constant elasticity of variance＂ stochastic processes without appealing to any symmetry argument, Analytical closed-form solutions are available for some special cases of this class of Fokker-Planck equations. The dynamics of the underlying stochastic variables are examined. These Fokker-Planck equations have found a rather wide range of applications in various contexts. In particular, in the field of econophysics we have demonstrated their immediate relevance to modelling the exchange rate dynamics in a target zone, e.g. the linked exchange rate system of the Hong Kong dollar. Furthermore, the knowledge of exact solutions in some special cases can be useful as a benchmark to test approximate numerical or analytical procedures.

Nonadiabatic geometric phase in a doubly driven two-level system

We study theoretically the nonadiabatic geometric phase of a doubly driven two-level system with an additional relative phase between the two driving modes introduced in. It is shown that the time evolution of the system strongly depends on this relative phase. The condition for the system returning to its initial state after a single period is given by the means of the Landau–Zener–Stückelberg–Majorana destructive interference. The nonadiabatic geometric phase accompanying a cyclic evolution is shown to be related to the Stokes phase as well as this relative phase. By controlling the relative phase, the geometric phase can characterize two distinct phases in the adiabatic limit.

Atom-based power-frequency electric field measurement using the radio-frequency-modulated Rydberg spectroscopy

The radio-frequency modulated electromagnetically induced transparency(EIT) in a ladder three-level system with Rydberg state is studied. Under the influence of a fast radio-frequency field, the EIT peak splits into a series of sidebands.When attaching a power-frequency electric field directly to the fast radio-frequency field, the odd-order sidebands of the Rydberg-EIT oscillate sensitively with the power-frequency field. The oscillation frequency is equal to twice the power frequency;the oscillation amplitude is monotonically increasing with the amplitude of the power-frequency field when the change of Stark-shift is smaller than the radio frequency. Our work paves the way for measurement of power-frequency electric field based on Rydberg atoms.

Periodic Wave of Epidemic Spreading in Community Networks

它被卡明斯等报导。[自然 427 (2004 ) 344 ] 在那里， areperiodic 在流行病的空间与时间的数据飘动。为理解机制，我们 studythe 流行病由 SIS 模型和先生模型在社区网络上传播。我们发现 thatwith 感染率的增加，全部的感染的节点的数字可以在 fixedpoint，摆动的波浪，和周期的周期被稳定。而且，在 SIS modelcan 的流行传播被一张分析地图解释。

Frequency Sensitivity of Signal Detection in Scale-Free Networks

因为更高的扩大，没有规模的拓扑学在另外的节点比那在中心节点赞成一个弱信号的察觉，这最近被报导了[Phys。裁判员。E 78 (2008 ) 046111 ] 。我们调查相应同步行为并且发现喜爱的察觉联合和噪音力量取决于不仅而且在外部信号的频率上。我们理论上并且数字地表明中心节点的扩大效果将与外部频率单调地减少，它是有用的理解视觉的动物和听觉的系统的高敏感到弱外部信号。

Surface plasmon polariton at the interface of dielectric and graphene medium using Kerr effect

We theoretically investigate the control of surface plasmon polariton（SPP） generated at the interface of dielectric and graphene medium under Kerr nonlinearity. The controlled Kerr nonlinear signal of probe light beam in a dielectric medium is used to generate SPPs at the interface of dielectric and graphene medium. The positive, negative absorption, and dispersion properties of SPPs are modified and controlled by the control and Kerr fields. A large amplification（negative absorption） is noted for SPPs under the Kerr nonlinearity. The normal/anomalous slope of dispersion and propagation length of SPPs is modified and controlled with Kerr nonlinearity. This leads to significant variation in slow and fast SPP propagation. The controlled slow and fast SPP propagation may predict significant applications in nano-photonics, optical tweezers, photovoltaic devices, plasmonster, and sensing technology.

Near-field characteristics of highly non-paraxial subwavelength optical fields with hybrid states of polarization

The vectorial structure of an optical field with hybrid states of polarization （SOP） in the near-field is studied by using the angular spectrum method of an electromagnetic beam. Physical images of the longitudinal components of evanescent waves are illustrated and compared with those of the transverse components from the vectorial structure. Our results indicate that the relative weight integrated over the transverse plane of the evanescent wave depends strongly on the number of the polarization topological charges. The shapes of the intensity profiles of the longitudinal components are different from those of the transverse components, and it can be manipulated by changing the initial SoP of the field cross-section. The longitudinal component of evanescent wave dominates the near-field region. In addition, it also leads to three-dimensional shape variations of the optical field and the optical spin angular momentum flux density distributions.

The Interacting Boson Model for Anomalous Rotational Bands

The interacting boson model for anomalous rotational bands is proposed. In the rotational SU(3) limit,an asymptotic limit is discussed. Within the framework of the model several analytic relations for energies and electro-magnetic transition rates are derived.

Nonadiabatic Effect on the Rescattering Trajectories of Electrons in Strong Laser Field Ionization Process

The important features of the rescattering trajectories in strong field ionization process such as the cutoff of the return energy at 3.17Up and that of the final energy at 10Up are obtained, based on the adiabatic approximation in which the initial momentum of the electron is assumed to be zero. We theoretically study the nonadiabatic effect by assuming a nonzero initial momentum on the rescattering trajectories based on the semiclassical simpleman model. We show that the nonzero initial momentum will modify both the maximal return energy at collision and the final energy after backward scattering, but in different ways for odd and even number of return trajectories. The energies are increased for even number of returns but are decreased for odd number of returns when the nonzero （positive or negative） initial momentum is applied.

Nonsequential double ionization of nonaligned diatomic molecules N_2 and O_2

Nonsequential double ionization （NSDI） processes of nonaligned diatomic molecules N2 and O2 are studied using the S-matrix theory. Our results show that the NSDI process significantly depends on the molecular symmetry and structure. The ratio of NSDI rate to single ionization rate as a function of the field intensity is obtained. It is found that N2 behaves closely with its companion atom Ar in the ratios over the entire intensity range, while O2 exhibits an obvious suppression effect, which is qualitatively consistent with the experiment.

Detrended Fluctuation Analysis of Traffic Data

不同路由策略可以在因特网上导致交通的不同行为。我们由 thedetrended 变化分析(DFA ) 为三典型路由策略分析交通数据的关联并且发现数据的关联的度能被划分成三个区域，即弱、中等、强壮的关联。DFA scalings 是在两个的常数弱、强壮的关联，但是 monotonically 的区域在中等关联的区域增加。我们建议在复杂网络上把交通看作三个阶段更好，即免费，就当二个阶段以前相信了，缓冲区，和拥挤分阶段执行，即免费并且拥挤阶段。

Epidemic Diffusion on Complex Networks

散开和流行病很好分别地在随机的系统 andcomplex 网络被学习。这里，我们联合这二个领域和学习流行病散开 incomplex 网络。而不是学习感染，它在 previousworks 集中于的阀值，我们集中于散开行为。我们发现在有改变散开代表 gamma 和那 gamma 的异常 superdiffusion 是的复杂 networkis 的流行散开 influencedseriously 由网络组织，例如聚类的系数和度， distribution.Numerical 模拟证实了理论预言。

A Rotating Bose-Einstein Condensation in a Toroidal Trap

We have studied the ground state configurations of a rotating Bose-Einstein condensation in a toroidal trap as the radius of the central Gaussian potential expands adiabatically.Firstly,we observe that the vortices are devoured successively into the central hole of the condensate to form a giant vortex as the radius of the trap expands.When all the pre-existing vortices are absorbed,the angular momentum of the system still increase as the radius of the gaussian potential enlarges.When increasing the interaction strength,we find that more singly quantized vortices are squeezed into the condensate,but the giant vortex does not change.

Self-Organization in Coupled Map Scale-Free Networks

我们在联合地图学习阶段同步的组织工会有在每个节点的混乱逻辑地图的没有规模的网络并且发现许多订的空间与时间的模式在联合力量的政体自发地出现。有一般水准的增加的这些订的行为愿望变化连接并且对系统尺寸和参数失配柔韧。一个启发式的理论被给解释组织工会的机制并且弄明白为订的空间与时间的模式联合的政体。

Enhancement of Information Transmission by Array Induced Stochastic Resonance in the Processes of Amplitude and Frequency Modulations

信息传播在在信号有冲动的堵塞的振幅和频率调整的情况中被学习。由使用非线性的元素的数组途径，我们为两个发现那周期、非周期的调整，信息传播能被在数组的每个元素上增加独立外部噪音提高。数组和堵塞的冲动的间隔的尺寸上的信息传播的 Thedependence 也被学习。

A pure spin-current injector of semiconductor quantum dots with Andreev reflection and Rashba spin-orbit coupling

We propose a four-terminal device consisting of two parallel quantum dots with Rashba spin-orbit interaction （RSOI）, coupled to two side superconductor leads and two common ferromagnetic leads, respectively. The two ferromagnetic leads and two quantum dots form a ring threaded by Aharonov-Bohm （AB） flux. This device possesses normal quasiparticle transmission between the two ferromagnetic leads, and normal and crossed Andreev reflections providing conductive holes. For the appropriate spin polarization of the ferromagnetic leads, RSOI and AB flux, the pure spin-up （or spin-down） current without net charge current in the right lead, which is due to the equal numbers of electrons and holes with the same spin-polarization moving along the same direction, can be obtained by adjusting the gate voltage, which may be used in practice as a pure spin-current injector.

Multi-mode Einstein-Podolsky-Rosen Entangled State Representation and Its Applications

Our primary purpose of this work is to explicitly construct the general multipartite Einstein Podolsky-Rosen (EPR) entangled state in muIti-mode Fock space for a system with different masses of particles,which makes up anew quantum mechanical representation owing to completeness relation and orthogonal property.Its entanglement canbe seen more clearly by analyzing its standard Schmidt decomposition.In addition,some applications of the multipartiteentanglement are proposed including deriving the generalized Wigner operator and squeezing operator.

Effects of pressure on structural, electronic, and mechanical properties of α,β,and γ uranium

The first-principles methods have been employed to calculate the structural, electronic, and mechanical properties of the α, β, and γ phases of uranium under pressure up to 100 GPa. The electronic structure has been viewed in forms of density of states and band structure. The mechanical stability of metal U in the α, β, and γ phases have been examined.The independent elastic constants, polycrystalline elastic moduli, as well as Poisson＇s ratio have been obtained. Upon compression, the elastic constants, elastic moduli, elastic wave velocities, and Debye temperature of α phase are enhanced pronouncedly. The value of B/G illustrates that α and γ phases are brittle in ground state.

Multi-mode Coherent-Entangled State Representation and Its Applications

We introduce the so-called coherent-entangled state (CES) in the four-mode Fock space,which makesup a new quantum mechanical representation owing to completeness relation and orthogonal property.Its standardSchmidt decomposition and experimental generation using beam-splitter (BS) are proposed.In addition,its applicationsin quantum optics are presented.Finally,we extend it to multi-mode case and discuss some applications,too.