2016年, 第65卷, 第06期　
刊出日期：2016-06-01

  

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  Nijenhuis Operators on n-Lie Algebras

  刘杰锋, 生云鹤, 周彦秋, 白承铭

  理论物理通讯. 2016, 65(06): 659-670.

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  In this paper, we study (n-1)-order deformations of an n-Lie algebra and introduce the notion of a Nijenhuis operator on an n-Lie algebra, which could give rise to trivial deformations. We prove that a polynomial of a Nijenhuis operator is still a Nijenhuis operator. Finally, we give various constructions of Nijenhuis operators and some examples.
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  Dynamical Behavior of Solution in Integrable Nonlocal Lakshmanan-Porsezian-Daniel Equation

  柳伟, 邱德勤, 吴志伟, 贺劲松

  理论物理通讯. 2016, 65(06): 671-676.

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  The integrable nonlocal Lakshmanan-Porsezian-Daniel (LPD) equation which has the higher-order terms (dispersions and nonlinear effects) is first introduced. We demonstrate the integrability of the nonlocal LPD equation, provide its Lax pair, and present its rational soliton solutions and self-potential function by using the degenerate Darboux transformation. From the numerical plots of solutions, the compression effects of the real refractive index profile and the gain-or-loss distribution produced by are discussed.
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  Multi-Peakon Solutions for Two New Coupled Camassa-Holm Equations

  李园丽, 扎其劳

  理论物理通讯. 2016, 65(06): 677-683.

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  We study the multi-peakon solutions for two new coupled Camassa-Holm equations, which include two-component and three-component Camassa-Holm equations. These multi-peakon solutions are shown in weak sense. In particular, the double peakon solutions of both equations are investigated in detail. At the same time, the dynamic behaviors of three types double peakon solutions are analyzed by some figures.
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  Control and Transfer of Entanglement between Two Atoms Driven by Classical Fields under Dressed-State Representation

  廖庆洪, 张旗, 许娟, 鄢秋荣, 刘晔, 陈桉

  理论物理通讯. 2016, 65(06): 684-690.

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  We have studied the dynamics and transfer of the entanglement of the two identical atoms simultaneously interacting with vacuum field by employing the dressed-state representation. The two atoms are driven by classical fields. The influence of the initial entanglement degree of two atoms, the coupling strength between the atom and the classical field and the detuning between the atomic transition frequency and the frequency of classical field on the entanglement and atomic linear entropy is discussed. The initial entanglement of the two atoms can be transferred into the entanglement between the atom and cavity field when the dissipation is neglected. The maximally entangled state between the atoms and cavity field can be obtained under some certain conditions. The time of disentanglement of two atoms can be controlled and manipulated by adjusting the detuning and classical driving fields. Moreover, the larger the cavity decay rate is, the more quickly the entanglement of the two atoms decays.
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  Thermal Quantum Discord in Pure Dzyaloshinskii-Moriya Model with Magnetic Field

  李大创, 李小曼, 曹卓良

  理论物理通讯. 2016, 65(06): 691-694.

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  We investigate the effects of the directions of Dzyaloshinskii-Moriya (DM) interaction vector and magnetic field on the quantum discord in the pure DM model. For different directions of DM vector, we find that there are different optimal parameter components of magnetic field. Moreover, we find that the optimal parameter components rules are the same for the Hamiltonian H₁ and H₂. According to the rules, for a certain axial DM vector, we can get the maximal quantum discord by adjusting the direction of the external magnetic field, which is feasible under the current experimental technology.
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  Investigation of Fermions in Non-commutative Space by Considering Kratzer Potential

  Fateme Hoseini, Jayanta K. Saha, Hassan Hassanabadi

  理论物理通讯. 2016, 65(06): 695-700.

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  The two-dimensional Dirac equation for a fermion moving under Kratzer potential in the presence of an external magnetic field is analytically being solved for the energy eigenvalues and eigenfunctions. Subsequently, we have obtained the Wigner function corresponding to the eigenfunctions.
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  An Upper Bound of Fully Entangled Fraction of Mixed States

  黄晓芬, 景乃桓, 张廷桂

  理论物理通讯. 2016, 65(06): 701-704.

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  We study the fully entangled fraction of a quantum state. An upper bound is obtained for arbitrary bipartite system. This upper bound only depends on the Frobenius norm of the state.
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  An Improved Quantum Information Hiding Protocol Based on Entanglement Swapping of χ-type Quantum States

  徐淑奖, 陈秀波, 王连海, 丁青艳, 张淑慧

  理论物理通讯. 2016, 65(06): 705-710.

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  In 2011, Qu et al. proposed a quantum information hiding protocol based on the entanglement swapping of χ-type quantum states. Because a χ-type state can be described by the 4-particle cat states which have good symmetry, the possible output results of the entanglement swapping between a given χ-type state and all of the 16 χ-type states are divided into 8 groups instead of 16 groups of different results when the global phase is not considered. So it is difficult to read out the secret messages since each result occurs twice in each line (column) of the secret messages encoding rule for the original protocol. In fact, a 3-bit instead of a 4-bit secret message can be encoded by performing two unitary transformations on 2 particles of a χ-type quantum state in the original protocol. To overcome this defect, we propose an improved quantum information hiding protocol based on the general term formulas of the entanglement swapping among χ-type states.
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  Quantum Private Comparison of Equal Information Based on Highly Entangled Six-Qubit Genuine State

  纪兆旭, 叶天语

  理论物理通讯. 2016, 65(06): 711-715.

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  Using the highly entangled six-qubit genuine state we present a quantum private comparison (QPC) protocol, which enables two users to compare the equality of two bits of their secrets in every round comparison with the assistance of a semi-honest third party (TP). The proposed protocol needs neither unitary operations nor quantum entanglement swapping technology, both of which may consume expensive quantum devices. Single particle measurements and Bell-basis measurements, which are easy to implement with current technologies, are employed by two users and TP in the proposed protocol, respectively. The proposed protocol can withstand all kinds of outside attacks and participant attacks. Moreover, none of information about the two users’ private secrets and the comparison result is leaked out to TP.
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  Gravitational Energy-Momentum and Conservation of Energy-Momentum in General Relativity

  吴兆颜

  理论物理通讯. 2016, 65(06): 716-730.

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  Based on a general variational principle, Einstein-Hilbert action and sound facts from geometry, it is shown that the long existing pseudotensor, non-localizability problem of gravitational energy-momentum is a result of mistaking different geometrical, physical objects as one and the same. It is also pointed out that in a curved spacetime, the sum vector of matter energy-momentum over a finite hyper-surface can not be defined. In curvilinear coordinate systems conservation of matter energy-momentum is not the continuity equations for its components. Conservation of matter energy-momentum is the vanishing of the covariant divergence of its density-flux tensor field. Introducing gravitational energy-momentum to save the law of conservation of energy-momentum is unnecessary and improper. After reasonably defining “change of a particle’s energy-momentum”, we show that gravitational field does not exchange energy-momentum with particles. And it does not exchange energy-momentum with matter fields either. Therefore, the gravitational field does not carry energy-momentum, it is not a force field and gravity is not a natural force.
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  Corrected Stefan-Boltzmann Law and Lifespan of Schwarzschild-de-sitter Black Hole

  顔石, 何唐梅, 张靖仪

  理论物理通讯. 2016, 65(06): 731-734.

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  In this paper, we correct the Stefan-Boltzmann law by considering the generalized uncertainty principle, and with this corrected Stefan-Boltzmann law, the lifespan of the Schwarzschild-de-sitter black holes is calculated. We find that the corrected Stefan-Boltzmann law contains two terms, the T⁴ term and the T⁶ term. Due to the modifications, at the end of the black hole radiation, it will arise a limited highest temperature and leave a residue. It is interesting to note that the mass of the residue and the Planck mass is in the same order of magnitude. The modified Stefan-Boltzmann law also gives a correction to the lifespan of the black hole, although it is very small.
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  Three New (2+1)-dimensional Integrable Systems and Some Related Darboux Transformations

  郭秀荣

  理论物理通讯. 2016, 65(06): 735-742.

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  We introduce two operator commutators by using different-degree loop algebras of the Lie algebra A₁, then under the framework of zero curvature equations we generate two (2+1)-dimensional integrable hierarchies, in-cluding the (2+1)-dimensional shallow water wave (SWW) hierarchy and the (2+1)-dimensional Kaup-Newell (KN) hierarchy. Through reduction of the (2+1)-dimensional hierarchies, we get a (2+1)-dimensional SWW equation and a (2+1)-dimensional KN equation. Furthermore, we obtain two Darboux transformations of the (2+1)-dimensional SWW equation. Similarly, the Darboux transformations of the (2+1)-dimensional KN equation could be deduced. Finally, with the help of the spatial spectral matrix of SWW hierarchy, we generate a (2+1) heat equation and a (2+1) nonlinear generalized SWW system containing inverse operators with respect to the variables x and y by using a reduction spectral problem from the self-dual Yang-Mills equations.
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  Horava-Lifshitz Type Quantum Field Theory and Hierarchy Problem

  晁伟

  理论物理通讯. 2016, 65(06): 743-746.

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  We study the Lifshitz type extension of the standard model (SM) at the UV, with dynamical critical exponent z = 3. One loop radiative corrections to the Higgs mass in such a model are calculated. Our result shows that, the Hierarchy problem, which has initiated many excellent extension of the minimal SM, may be weakened in the z = 3 Lifshitz type quantum field theory.
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  Picard-Fuchs Equation for Glueball Superfield for the SO(N) Gauge Group

  Mohammad A. Ganjali

  理论物理通讯. 2016, 65(06): 747-752.

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  In this paper, by using the factorization equation of the N = 2 supersymmetric gauge theory, we study N = 1 theory in Argyres-Douglas points. We suppose that all monopoles become massive. We derive general Picard-Fuchs equations for glueball superfields. These equations are hypergeometric equations and have regular singular points corresponding to Argyres-Douglas points. Furthermore, we obtain the solution of these differential equations.
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  Cubic and Quartic Higgs Couplings of Higgs Potentials and CP Phases

  宋友, 宴启树, 赵笑然

  理论物理通讯. 2016, 65(06): 753-760.

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  We derive cubic and quartic couplings of the Higgs singlet extension of the SM and the two Higgs doublet model. We also examine the number of CP violated couplings in a model with n Higgs doublet model and a model with n_s Higgs singlets and n_d Higgs doublets. We conclude that in order to reconstruct the Higgs potential with multi Higgs fields at the LHC and future colliders, to detect the cubic/quartic couplings is necessary.
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  Fusion Energy and Stopping Power in a Degenerate DT Pellet Driven by a Laser-Accelerated Proton Beam

  M. Mehrangiz, A. Ghasemizad, S. Jafari, B. Khanbabaei

  理论物理通讯. 2016, 65(06): 761-766.

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  In this paper, we have improved the fast ignition scheme in order to have more authority needed for high-energy-gain. Due to the more penetrability and energy deposition of the particle beams in fusion targets, we employ a laser-to-ion converter foil as a scheme for generating energetic ion beams to ignite the fusion fuel. We find the favorable intensity and wavelength of incident laser by evaluating the laser-proton conversion gain. By calculating the source-target distance, proton beam power and energy are estimated. Our analysis is generalized to the plasma degeneracy effects which can increase the fusion gain several orders of magnitude by decreasing the ion-electron collisions in the plasma. It is found that the wavelength of 0.53 μm and the intensity of about 10²⁰ W/cm², by saving about 10% conversion coefficient, are the suitable measured values for converting a laser into protons. Besides, stopping power and fusion burn calculations have been done in degenerate and non-degenerate plasma mediums. The results indicate that in the presence of degeneracy, the rate of fusion enhances.
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  Single Photon Scattering Properties in Coupled-Resonator Waveguide Coupling with a Nanocavity Interacting with an External Mirror

  程木田, 纵卫卫, 叶根龙, 马小三, 章家岩, 王兵

  理论物理通讯. 2016, 65(06): 767-771.

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  We investigate theoretically single photon transport properties in coupled-resonator waveguide coupling with a nanocavity interacting with an external mirror. By using the discrete coordinates approach, transmission and reflection amplitudes of the propagating single photon in the waveguide are obtained. The influence of the coupling strength between the nanocavity and the external mirror on the single photon scattering spectra is discussed. We also extend the results to the waveguide with linear and quadratic form dispersion relations.
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  Effects of Gravitational Correction on Neutron Stars with Antikaon Condensation

  丁文波, 侯佳为, 戚湛强, 鄂姗姗, 特木尔巴根, 刘广洲, 喻孜, 赵恩广

  理论物理通讯. 2016, 65(06): 772-776.

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  Effects of gravitational correction through the introduction of U bosons on neutron stars with antikaon condensation are studied in the relativistic mean field theory. How the global properties of neutron stars, redshift and the momentum of inertia are modified by gravitational correction and antikaon condensation are discussed here. Results show that antikaon condensation can occur at the core of pulsar PSR J1614-2230. Gravitational correction and antikaon condensation influence each other, and when coupling constant of U bosons and baryons becomes very high, effects of antikaon condensation almost vanish. Moreover, both the redshift and the momentum of inertia of neutron stars are sensitive to the constant of U bosons. Combining with observation data, we can provide a further constraint on coupling constant of U bosons.