2014年, 第61卷, 第04期　
刊出日期：2014-04-01

  

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  Fermion Representation of Quantum Toroidal Algebra

  蔡立强, 王丽芳, 吴可, 杨洁

  理论物理通讯. 2014, 61(04): 403-408.

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  We construct a fermion analogue of the Fock representation of quantum toroidal algebra and construct the fermion representation of quantum toroidal algebra on the K-theory of Hilbert scheme.
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  Extended Determinant Solution of a (3+1)-Dimensional KP Equation

  朱国庆, 王红艳

  理论物理通讯. 2014, 61(04): 409-414.

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  In this paper, new extended Grammian determinant solutions to a (3+1)-dimensional KP equation are presented by using Hirora's bilinear method, and a broad set of sufficient conditions of systems of linear partial differential equations is given. Moreover, some special solutions of the representative systems are obtained through a systematic analysis.
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  Solutions to the Complex Korteweg-de Vries Equation：Blow-up Solutions and Non-Singular Solutions

  孙莹莹, 袁渊明, 张大军

  理论物理通讯. 2014, 61(04): 415-422.

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  In the paper two kinds of solutions are derived for the complex Korteweg-de Vries equation, including blow-up solutions and non-singular solutions. We derive blow-up solutions from known 1-soliton solution and a double-pole solution. There is a complex Miura transformation between the complex Korteweg-de Vries equation and a modified Korteweg-de Vries equation. Using the transformation, solitons, breathers and rational solutions to the complex Korteweg-de Vries equation are obtained from those of the modified Korteweg-de Vries equation. Dynamics of the obtained solutions are illustrated.
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  Darboux Transformations and N-soliton Solutions of Two (2+1)-Dimensional Nonlinear Equations

  王鑫, 陈勇

  理论物理通讯. 2014, 61(04): 423-430.

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  Two Darboux transformations of the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawaka (CDGKS) equation and (2+1)-dimensional modified Korteweg-de Vries (mKdV) equation are constructed through the Darboux matrix method, respectively. N-soliton solutions of these two equations are presented by applying the Darboux transformations N times. The right-going bright single-soliton solution and interactions of two and three-soliton overtaking collisions of the (2+1)-dimensional CDGKS equation are studied. By choosing different seed solutions, the right-going bright and left-going dark single-soliton solutions, the interactions of two and three-soliton overtaking collisions, and kink soliton solutions of the (2+1)-dimensional mKdV equation are investigated. The results can be used to illustrate the interactions of water waves in shallow water.
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  Block (or Hamiltonian) Lie Symmetry of Dispersionless D-Type Drinfeld-Sokolov Hierarchy

  李传忠, 贺劲松, 苏育才

  理论物理通讯. 2014, 61(04): 431-435.

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  In this paper, the dispersionless D-type Drinfeld-Sokolov hierarchy, i.e. a reduction of the dispersionless two-component BKP hierarchy, is studied. The additional symmetry flows of this hierarchy are presented. These flows form an infinite-dimensional Lie algebra of Block type as well as a Lie algebra of Hamiltonian type.
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  D-Dimensional Dirac Equation for Energy-Dependent Pseudoharmonic and Mie-type Potentials via SUSYQM

  A. N. Ikot, H. Hassanabadi, E. Maghsoodi, S. Zarrinkamar

  理论物理通讯. 2014, 61(04): 436-446.

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  We investigate the approximate solution of the Dirac equation for energy-dependent pseudoharmonic and Mie-type potentials under the pseudospin and spin symmetries using the supersymmetry quantum mechanics. We obtain the bound-state energy equation in an analytical manner and comment on the system behavior via various figures and tables.
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  Fast Generation of Einstein-Podolsky-Rosen States for Two Cavity Modes with a Collection of Driven Atoms

  卢道明, 郑仕标

  理论物理通讯. 2014, 61(04): 447-451.

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  We propose an efficient scheme for realizing two-mode squeezing for two cavity modes with an atomic ensemble trapped in the cavity and driven by two classical fields. Through a suitable choice of the driving classical fields, the evolution dynamics of the two cavity modes is decoupled with the atomic system and described by a two-mode squeezing operator. We show that a highly squeezed state can be obtained at the output even with a bad cavity. The required experimental techniques are within the scope of what can be obtained in the BEC-cavity setup.
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  A Quantum Protocol for Millionaire Problem with Continuous Variables

  周艺华, 侍伟敏, 杨宇光

  理论物理通讯. 2014, 61(04): 452-456.

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  In this paper, a protocol for quantum millionaire problem with continuous variables is proposed. In the protocol, two participants can compare the values of their fortune with the assistance of a semi-trusted third party (STTP). Only EPR states are exploited in our protocol while most other protocols exploited d-dimensional Bell states. Two participants are just required to perform single particle operations, which makes our protocol more efficiently. Our protocol can ensure fairness, correctness, security and high efficiency as well. In our protocol, only the two participants can deduce the results of comparisons, others include STTP will learn no information. Our protocol can resist various kinds of attacks from both the outside eavesdroppers and the inside participants, even the STTP.
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  Analytical Approximate Solution of Schrödinger Equation in D Dimensions with Quadratic Exponential-Type Potential for Arbitrary l-State

  Akpan N. Ikot, Oladunjoye. A. Awoga, Hassan Hassanabadi, Elham Maghsoodi

  理论物理通讯. 2014, 61(04): 457-463.

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  We present the bound state solution of Schrödinger equation in D dimensions for quadratic exponential-type potential for arbitrary l-state. We use generalized parametric Nikiforov-Uvarov method to obtain the energy levels and the corresponding eigenfunction in closed form. We also compute the energy eigenvalues numerically.
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  Protecting Distribution Entanglement by Weak Measurement and Reversal under Various Decoherence Sources

  王琼, 姚春梅

  理论物理通讯. 2014, 61(04): 464-468.

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  Protection of entanglement from disturbance of the environment is an essential task in quantum information processing. We examine the validity and limitation of the weak measurement and reversal (WMR) operation in the protection of distributed entanglement from various decoherence sources. Since the entanglement variation can be investigated analytically for an arbitrarily entangled bipartite pure state under three kinds of typical noisy quantum channels, we show explicitly that the WMR operation indeed helps for protecting distributed entanglement from amplitude damping and phase damping, but not for depolarizing. Experimental feasibility for testing our results is discussed using current laboratory techniques.
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  Constraints on Non-Radial Oscillation Modes by Symmetry Energy Slope

  周颖, 文德华

  理论物理通讯. 2014, 61(04): 469-474.

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  The effect of the nuclear symmetry energy slope on the non-radial oscillation f-modes in neutron stars is calculated and discussed. Based on a conservative range of the symmetry energy slope constrained by the experiment and theoretical analysis, a constraint on the frequency and damping time of the gravitational radiation from the f-mode in neutron star is obtained. It is also shown that a higher symmetry energy slope corresponds with a smaller frequency and a longer damping time. Meanwhile, a new set of parameters is given to present the universal properties of the scaled frequency and damping time.
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  Novel Rotating Hairy Black Hole in (2+1) Dimensions

  赵柳, 徐伟, 祝斌

  理论物理通讯. 2014, 61(04): 475-481.

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  We present some novel rotating hairy black hole metric in (2+1) dimensions, which is an exact solution to the field equations of the Einstein-scalar-AdS theory with a non-minimal coupling. The scalar potential is determined by the metric ansatz and consistency of the field equations and cannot be prescribed arbitrarily. In the simplified, critical case, the scalar potential contains two independent constant parameters, which are respectively related to the mass and angular momentum of the black hole in a particular way. As long as the angular momentum does not vanish, the metric can have zero, one or two horizons. The case with no horizon is physically uninteresting because of the curvature singularity lying at the origin. We identify the necessary conditions for at least one horizon to be present in the solution, which imposes some bound on the mass-angular momentum ratio. For some particular choice of parameters our solution degenerates into some previously known black hole solutions.
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  Dark Energy Models and Cosmic Acceleration with Anisotropic Universe in f(T) Gravity

  M. Sharif, Sehrish Azeem

  理论物理通讯. 2014, 61(04): 482-490.

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  This paper is devoted to studing the accelerated expansion of the universe in context of f(T) theory of gravity. For this purpose, we construct different f(T) models and investigate their cosmological behavior through equation of state parameter by using holographic, new agegraphic and their power-law entropy corrected dark energy models. We discuss the graphical behavior of this parameter versus redshift for particular values of constant parameters in Bianchi type I universe model. It is shown that the universe lies in different forms of dark energy, namely quintessence, phantom, and quintom corresponding to the chosen scale factors, which depend upon the constant parameters of the models.
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  On Hawking Radiation from a Charged Black Hole of Heterotic String Theory

  Alexis Larrañaga

  理论物理通讯. 2014, 61(04): 491-494.

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  We investigate the Hawking radiation of a GMGHS charged black hole from the heterotic string scenario by the massive particles tunneling method. We consider the spacetime background to be dynamical, incorporate the self-gravitation effect of the emitted particles and show that the tunneling rate is related to the change of Bekenstein-Hawking entropy and the derived emission spectrum does not deviate from the pure thermal spectrum of Schwrzschild's black hole.
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  A Study of the Behavioral Controllability for Superposed Kuznetsov-Ma Soliton of the (3+1)-Dimensional Generalized Nonlinear Schrödinger Equation

  朱海平, 陈立

  理论物理通讯. 2014, 61(04): 495-500.

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  The (3+1)-dimensional variable-coefficient nonlinear Schrödinger equation with linear and parabolic traps is studied, and an exact Kuznetsov-Ma soliton solution in certain parameter conditions is derived. These precise expressions indicate that diffraction and chirp factors influence phase, center and widths, while the gain/loss parameter only affects peaks. By adjusting the relation between the maximum accumulated time T_m and the accumulated time T₀ based on maximum amplitude of Kuznetsov-Ma soliton, postpone, maintenance and restraint of superposed Kuznetsov-Ma solitons are investigated.
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  QCD Sum Rules Study of X(4350)

  莫增, 崔春雨, 刘永录, 黄明球

  理论物理通讯. 2014, 61(04): 501-505.

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  The QCD sum rule approach is used to analyze the nature of the recently observed new resonance X(4350), which is assumed to be a diquark-antidiquark state [cs][cs] with J^PC=1^-+. The interpolating current representing this state is proposed. In the calculation, contributions of operators up to dimension six are included in the operator product expansion (OPE), as well as terms which are linear in the strange quark mass m_s. We find m_1-+=(4.82± 0.19) GeV, which is not compatible with the X(4350) structure as a 1^-+ tetraquark state. Finally, we also discuss the difference of a four-quark state's mass whether the state's interpolating current has a definite charge conjugation.
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  Phase-Controlled Transparent Superluminal Light Propagation in a Doppler-Broadened Four-Level N-Type System

  Lida Ebrahimi Zohravi, Majid Abedi, Mohammad Mahmoudi

  理论物理通讯. 2014, 61(04): 506-516.

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  The propagation of a weak probe field in a four-level N-type quantum system in the presence of spontaneously generated coherence (SGC) is theoretically investigated. The optical properties of the system are studied and it is shown that the group velocity of light pulse can be controlled by relative phase of applied fields. By changing the relative phase of applied fields, the group velocity of light pulse changes from transparent subluminal to the transparent superluminal light propagation. Thus, the phase-controlled absorption-free superluminal light propagation is obtained without applying an incoherent laser fields to the system. The propagation of a weak probe light pulse is studied by solving the Maxwell's wave equation on numerical grid in space and time. Moreover, we study the third order self- and cross-Kerr susceptibility of probe field and calculate the nonlinear cross-phase shift for different values of intensity of applied fields. In addition, we take into account the effect of Doppler broadening on the light pulse propagation and it is found that a suitable choice of laser propagation directions allows us to preserve our results even in the presence of Doppler effect. It is demonstrated that by increasing the Doppler width of distribution to the room temperature, the dispersion changes from transparent subluminal to transparent superluminal light propagation which is our major motivation for this work.
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  Transformation Electrics：Cloaking and Rotating Electric Current

  高勇, 王伟华, 黄吉平

  理论物理通讯. 2014, 61(04): 517-520.

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  Transformation optics provides great versatility for precisely manipulating electromagnetic waves. It has been extended to other fields including acoustics, thermotics, and electrics. Taking advantage of the transformation electrics method, we demonstrate that the square-shaped cloak can guide electric current around the cloaked region smoothly without perturbing the exterior electric current. And the cylindrical rotator can rotate the electric current. Inside the enclosed domain of the rotator, the electric current from the outside will appear as if it is coming from a different angle. Finally, the related experimental realizations and potential applications are also discussed.
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  f-Deformed Squeezed Vacuum and First Excited States, Their Superposition and Corresponding Nonclassical Properties

  A. NoormandiPour, M. K. Tavassoly

  理论物理通讯. 2014, 61(04): 521-530.

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  In this paper, we introduce two new classes of nonlinear squeezed states that we name as f-deformed squeezed vacuum state |ξ,f>_even and f-deformed squeezed first excited state |ξ,f>_odd, which according to their production processes, essentially include only even and odd bases of Fock space, respectively. In the continuation, we introduce the superposition of these two distinct nonlinear squeezed states with a respective phase Ψ. Then, some of the criteria which imply the nonclassicality of the states, such as Mandel parameter, second-order correlation function, quadrature squeezing, amplitude-squared squeezing, Husimi and Wigner-Weyl quasi-distribution functions, are numerically examined. At last, by considering a well-known nonlinearity function associated with a nonlinear physical system, we present our results which outcome from the numerical calculations. It is shown that, the introduced f-deformed states can reveal high nonclassical features.
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  Voltage-Controlled Quantum Dynamics and Generation Entanglement between Two Separated Quantum-Dot Molecules Embedded in Photonic Crystal Cavities

  程木田, 宋艳艳, 马小三, 王霞

  理论物理通讯. 2014, 61(04): 531-535.

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  Voltage-controlled quantum dynamics of two quantum-dot molecules (QDMs) embedded in two separated photonic crystal cavities are theoretically investigated. We show numerically that generation of entangled states and population transfer between the two QDMs can be realized with the same coupling parameters. The effects of parameters deviation and dissipations on generation entangled states and populations transfer are also discussed. The results may be used for realization of new-type of solid state quantum devices and integrated electro-optical devices.
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  Quantum Transport through a Rigidly Connected Double Quantum-Dot Shuttle

  江兆潭, 黎莎, 吕增涛, 张国锋

  理论物理通讯. 2014, 61(04): 536-544.

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  We design a double quantum-dot (QD) shuttle (DQDS) model including two rigidly connected QDs that are softly linked to two leads via deformable organic materials. Based on the full quantum mechanical approaches we explore the influences on the electron transport induced by the electrical and mechanical degrees of freedom. First of all the modified rate equations of the DQDS are derived theoretically and then a numerical investigation on the quantum transport through the DQDS is performed. For the classical DQDS, the time-dependent evolutions of the electron-occupation probabilities and the currents flowing through the DQDS show the periodic oscillations with their periods determined by the oscillation period of the DQDS. Both the mechanical oscillation amplitude and the interdot coupling can play crucial roles in adjusting the peak shapes of the currents and the probabilities. For the quantum DQDS, the current and electron-occupation probabilities of the DQDS evolve into a stationary state as time goes on, with no periodical oscillations observed. As a consequence, the sharp differences of the time-dependent properties between the classical and quantum DQDS systems are clearly demonstrated, which should be greatly helpful in designing new nanoelectromechanical devices. Also, this work is of great significance to understanding the kind of rigidly connected QD shuttle systems that have more than two QDs.