2017年, 第68卷, 第05期　
刊出日期：2017-11-01

  

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  Superposition Quantification

  常利娜, 骆顺龙, 孙源

  理论物理通讯. 2017, 68(05): 565-570.

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  The principle of superposition is universal and lies at the heart of quantum theory. Although ever since the inception of quantum mechanics a century ago, superposition has occupied a central and pivotal place, rigorous and systematic studies of the quantification issue have attracted significant interests only in recent years, and many related problems remain to be investigated. In this work we introduce a figure of merit which quantifies superposition from an intuitive and direct perspective, investigate its fundamental properties, connect it to some coherence measures, illustrate it through several examples, and apply it to analyze wave-particle duality.
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  Dynamics of Cohering and Decohering Power under Markovian Channels

  陈明明, 罗宇, 邵连合, 李永明

  理论物理通讯. 2017, 68(05): 571-579.

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  In this paper, we investigate the cohering and decohering power of the one-qubit Markovian channels with respect to coherence measures based on the l₁-norm, the Rényi α-relative entropy and the Tsallis α-relative entropy of coherence, respectively. The amplitude damping channel, phase damping channel, depolarizing channel, and flip channels are analytically calculated. It shows that the decohering power of the amplitude damping channel on the x, y, and z basis is equal to each other. The same phenomenon can be seen for the phase damping channel and the flip channels. The cohering power for the phase damping channel and the flip channels on the x, y basis also equals to that on the z basis. However, the cohering and decohering power of the depolarizing channel is independent to the reference basises. And the cohering power of the amplitude damping channel on the x, y basis is different to that on the z basis.
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  A Riemann-Hilbert Approach to Complex Sharma-Tasso-Olver Equation on Half Line

  张宁, 夏铁成, 胡贝贝

  理论物理通讯. 2017, 68(05): 580-594.

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  In this paper, the Fokas unified method is used to analyze the initial-boundary value problem of a complex Sharma-Tasso-Olver (cSTO) equation on the half line. We show that the solution can be expressed in terms of the solution of a Riemann-Hilbert problem. The relevant jump matrices are explicitly given in terms of the matrix-value spectral functions spectral functions {a(λ), b(λ)} and {A(λ), B(λ)}, which depending on initial data u₀(x)=u(x,0) and boundary data g₀(y)=u(0,y), g₁(y)=u_x(0,y), g₂(y)=u_xx(0,y). These spectral functions are not independent, they satisfy a global relation.
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  Study of Branes with Variable Tension

  Rodrigo Aros, Milko Estrada

  理论物理通讯. 2017, 68(05): 595-599.

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  In this work we study a brane world model with variable tension, which gives rise to four-dimensional cosmologies. The brane worlds obtained correspond to Eötvös branes whose (internal) geometry can be casted as either a four-dimensional (A)dS₄ or a standard radiation period cosmology. The matter dominated period is discussed as well.
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  Nonequilibrium Phase Transition in Spin-S Ising Ferromagnet Driven by Propagating and Standing Magnetic Field Wave

  Ajay Halder, Muktish Acharyya

  理论物理通讯. 2017, 68(05): 600-610.

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  The dynamical response of spin-S (S=1, 3/2, 2, 3) Ising ferromagnet to the plane propagating wave, standing magnetic field wave and uniformly oscillating field with constant frequency are studied separately in two dimensions by extensive Monte Carlo simulation. Depending upon the strength of the magnetic field and the value of the spin state of the Ising spin lattice two different dynamical phases are observed. For a fixed value of S and the amplitude of the propagating magnetic field wave the system undergoes a dynamical phase transition from propagating phase to pinned phase as the temperature of the system is cooled down. Similarly in case with standing magnetic wave the system undergoes dynamical phase transition from high temperature phase where spins oscillate coherently in alternate bands of half wavelength of the standing magnetic wave to the low temperature pinned or spin frozen phase. For a fixed value of the amplitude of magnetic field oscillation the transition temperature is observed to decrease to a limiting value as the value of spin S is increased. The time averaged magnetisation over a full cycle of the magnetic field oscillation plays the role of the dynamic order parameter. A comprehensive phase boundary is drawn in the plane of magnetic field amplitude and dynamic transition temperature. It is found that the phase boundary shrinks inwards for high value of spin state S. Also in the low temperature (and high field) region the phase boundaries are closely spaced.
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  Proper Teleparallel Homothetic Vector Fields in General Cylindrically Symmetric Space-Times in Teleparallel Theory of Gravitation Using Diagonal Tetrads

  Ghulam Shabbir, Masoom Ali Shahani, M. Amer Qureshi, F. M. Mahomed

  理论物理通讯. 2017, 68(05): 611-616.

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  In this paper we consider the most general form of non-static cylindrically symmetric space-times in order to study proper teleparallel homothetic vector fields using the direct integration technique and diagonal tetrads. This study also covers static cylindrically symmetric, Bianchi type I, non-static and static plane symmetric space-times as well. Here, we will only discuss the cases which do not fall in the category of static cylindrically symmetric, Bianchi type I, non-static and static plane symmetric space-times. From the above study we show that very special classes of the above space-times yield 6, 7 and 8 teleparallel homothetic vector fields with non-zero torsion.
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  Stochastic Multiresonance for a Fractional Linear Oscillator with Quadratic Trichotomous Noise

  朱建渠, 金炜东, 郑高, 郭锋

  理论物理通讯. 2017, 68(05): 617-622.

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  The stochastic multiresonance behavior for a fractional linear oscillator with random system frequency is investigated. The fluctuation of the system frequency is a quadratic trichotomous noise, the memory kernel of the fractional oscillator is modeled as a Mittag——Leffler function. Based on linear system theory, applying Laplace transform and the definition of fractional derivative, the expression of the system output amplitude (SPA) is obtained. Stochastic multiresonance phenomenon is found on the curves of SPA versus the memory time and the memory exponent of the fractional oscillator, as well as versus the trichotomous noise amplitude. The SPA depends non-monotonically on the stationary probability of the trichotomous noise, on the viscous damping coefficient and system characteristic frequency of the oscillator, as well as on the driving frequency of external force.
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  Solitons in One-Dimensional Bose-Einstein Condensate with Higher-Order Interactions

  王颖, 王炜, 周蜀渝

  理论物理通讯. 2017, 68(05): 623-626.

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  We model a one-dimensional Bose——Einstein condensate with the one-dimensional Gross——Pitaevskii equation (1D GPE) incorporating higher-order interaction effects. Based on the F-expansion method, we analytically solve the 1D GPE, identifying the typical soliton solution under certain experimental settings within the general wave-like solution set, and demonstrating the applicability of the theoretical treatment that is employed.
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  A Novel Envelope Soliton Solution to the Granular Crystal Model

  唐炳, 邓志豪, 邓科

  理论物理通讯. 2017, 68(05): 627-631.

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  A theoretical work on envelope solitons to a one-dimensional granular chain model is reported. In the small amplitude approximation, we analytically solve the equation of motion with the help of the semidiscrete multiple-scale method. Our results show that the granular chain model can support an asymmetric high-order envelope soliton under the certain condition. It is found that the second-harmonic term of this high-order envelope soliton has an additional phase. In addition, the influence of both the material parameter and the static load on the localized features of the high-order envelope soliton is discussed.
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  Observational Constraints on Varying Alpha in Λ(α)CDM Cosmology

  韦浩, 薛冬泽

  理论物理通讯. 2017, 68(05): 632-640.

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  In this work, we consider the so-called Λ(α)CDM cosmology with Λ ∝ α^-6 while the fine-structure "constant" α is varying. In this scenario, the accelerated expansion of the universe is driven by the cosmological "constant" Λ (equivalently the vacuum energy), and the varying α is driven by a subdominant scalar field φ coupling with the electromagnetic field. The observational constraints on the varying α and Λ ∝ α^-6 models with various couplings B_F(φ) between the subdominant scalar field φ and the electromagnetic field are considered.
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  Quantum Parameter Estimation:From Experimental Design to Constructive Algorithm

  杨乐, 陈希, 张明, 戴宏毅

  理论物理通讯. 2017, 68(05): 641-646.

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  In this paper we design the following two-step scheme to estimate the model parameter ω₀ of the quantum system:first we utilize the Fisher information with respect to an intermediate variable v=cos(ω₀t) to determine an optimal initial state and to seek optimal parameters of the POVM measurement operators; second we explore how to estimate ω₀ from v by choosing t when a priori information knowledge of ω₀ is available. Our optimal initial state can achieve the maximum quantum Fisher information. The formulation of the optimal time t is obtained and the complete algorithm for parameter estimation is presented. We further explore how the lower bound of the estimation deviation depends on the a priori information of the model.
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  A Modified Differential Transform Method (DTM) for Analyzing Irreversibility of Heat Transfer in Flow Through a Moving Plate with Variable Temperature

  Yin-Wei Lin, Kuei-Hao Chang, Cha'o-Kuang Chen

  理论物理通讯. 2017, 68(05): 647-653.

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  In this paper, the entropy generation of a flow through a movable plate with variable temperature is studied. Suitable similarity variables are applied to transform the local entropy generation rate to entropy generation number. A modified differential transform method (DTM) with shooting method is used to obtain the similarity solution of the entropy generation. The effects of different parameters (Prandtl number, variable wall temperature) on the irreversibility (such as N_sh, N_sf, N_sx) are analyzed and discussed. Moreover, it is worth mentioning that DTM is of advantage because its numerical solution is differentiation and integration. Therefore, its analysis result is reliable and high accuracy.
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  Azimuthal Dependence of Intrinsic Top in Photon-Quark Scattering and Higgs Production in Boson-Gluon Fusion DIS

  G. R. Boroun, A. Khanehzar, M. Boustanchi Kashan

  理论物理通讯. 2017, 68(05): 654-660.

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  In this paper, we study the top content of nucleon by analyzing azimuthal asymmetries in lepton-nucleon deep inelastic scattering (DIS), also we search for the Higgs boson associated production channel, ttH, at the large hadron-electron collider (LHeC) caused by boson-gluon fusion (BGF) contribution. We use azimuthal asymmetries in γ^* Q cross sections in terms of helicity contributions to semi-inclusive deep inelastic scattering to investigate numerical properties of the cos 2φ distribution. We conclude that measuring azimuthal distributions caused by intrinsic heavy quark production can directly probe heavy quarks inside nucleon. Moreover, in order to estimate the probability of producing the Higgs boson, we suggest another approach in the framework of calculating tt cross section in boson-gluon fusion mechanism. Finally, we can confirm that this observed massive particle is referred to Higgs boson produced by fermion loop.
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  Observation and Measures of Robust Correlations for Continuous Variable System

  Tesfay Gebremariam, 曾业雄, 陈歆宇, 李崇

  理论物理通讯. 2017, 68(05): 661-666.

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  In this work, we examine the robust continuous variable quantum correlation by analyzing two coupled optomechanical systems. Under the linearization approximation, the steady state correlation is quantified through correlation function of two non-Hermitian operators and we find that quantum correlation is always existence between two optical fields, two-oscillators and optical field-oscillator. Unlike the discrete variable system, we show quantum correlation in our model seems to be independent without any close transfer relationship. We further emphasize the influence of cavity-cavity coupling parameter on the amount of quantum correlations.
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  A Clot Model Examination:with Impulsion of Nanoparticles under Influence of Variable Viscosity and Slip Effects

  S. Ijaz, Iqra Shahzadi, S. Nadeem, Anber Saleem

  理论物理通讯. 2017, 68(05): 667-677.

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  In this speculative analysis, our main focused is to address the neurotic condition that occurs due to accumulation of blood components on the wall of the artery that results in blood coagulation. Specifically, to perceive this phenomena clot model is considered. To discuss this analysis mathematical model is formed in the presence of the effective thermal conductivity and variable viscosity of base fluid. Appropriate slip conditions are employed to obtain the close form solutions of temperature and velocity profile. The graphical illustrations have been presented for the assessment of pressure rise, pressure gradient and velocity profile. The effects of several parameters on the flow quantities for theoretical observation are investigated. At the end, the results confirmed that the impulsion of copper and silver nanoparticles as drug agent enlarges the amplitude of the velocity and hence nanoparticles play an important role in engineering and biomedical applications such as drug delivery system.
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  Structural and Mechanical Properties of TiN-TiC-TiO System:First Principle Study

  Ali Reza Farhadizadeh, Ahmad Ali Amadeh, Hamidreza Ghomi

  理论物理通讯. 2017, 68(05): 678-686.

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  Mechanical and structural properties of ternary system of TiN-TiO-TiC are investigated using first principle methods. 70 different compositions of Ti₁₀₀(NOC)₁₀₀ with cubic structure are examined in order to illustrate the trend of properties variations. The geometry of compounds is optimized, and then, their chemical stability is assessed. Afterward, shear, bulk and young moduli, Cauchy pressure, Zener ratio, hardness and H³/E² ratio are computed based on elastic constants. Graphical ternary diagram is used to represent the trend of such properties when the content of nitrogen, oxygen and carbon varies. The results show that incorporation of oxygen into the system decreases the hardness and H³/E² ratio while subsequently ductility increases due to positive Cauchy pressure. It is revealed that the maximum H³/E² ratio occurs when both nitrogen and carbon with a little amount of oxygen are incorporated. Ti₁₀₀N₃₀C₇₀ owns the highest hardness and H³/E² ratio equal to 39.5 and 0.2 GPa, respectively. In addition, the G/B of this compound, which is about 0.9, shows it is brittle. It is also observed that the solid solutions have better mechanical properties with respect to titanium nitride and titanium carbide. The obtained results could be used to enhance monolayer coatings as well as to design multilayers with specific mechanical properties.