2018年, 第69卷, 第02期　
刊出日期：2018-02-01

  

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  A New Treatment for Some Periodic Schrödinger Operators I: The Eigenvalue

  贺伟

  理论物理通讯. 2018, 69(02): 115-126.

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  We study the problem of how the Floquet property manifests for periodic Schrödinger operators, which are known to have multiple of asymptotic spectral solutions. The main conclusions are made for elliptic potentials, we demonstrate that for each period of the elliptic function there is a relation about the Floquet exponent and the monodromy of wave function. Among them there are two relations not explained by the classical Floquet theory. These relations produce both old and new asymptotic solutions consistent with results already known.
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  Semi-Relativistic Two-Body States of Spinless Particles with a Scalar-Type Interaction Potential

  K. E. Thylwe

  理论物理通讯. 2018, 69(02): 127-130.

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  A semi-relativistic quantum approximation for mutual scalar interaction potentials is outlined and discussed. Equations are consistent with two-body Dirac equations for bound states of zero total angular momentum. Two-body effects near the non-relativistic limit for a linear scalar potential is studied in some detail.
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  Generation of Different Classes of Multipartite Entanglement Using Cavity-QED

  Mustapha Ziane, Rachid El Guerbouz, Fatima-Zahra Siyouri, Morad El Baz

  理论物理通讯. 2018, 69(02): 131-136.

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  Using a system of cavity quantum electrodynamics (QED) we present two schemes for multipartite entanglement generation. In the first scheme, a three-level atom is interacting with three cavities successively. In the second one, two three-level atoms are interacted with a coherent optical cavity. These protocols allow us to generate the six classes of tripartite entanglement (GHZ, W, A-B-C, AB-C, C-AB, and B-AC class states) by controling the interaction time between atoms and cavities. Moreover, they allow us to generate entanglement between the cavity fields degrees of freedom (from the first scheme), and a mixed entanglement between the cavity field degrees of freedom and the atomic degrees of freedom.
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  Nodal Topological Phases in s-wave Superfluid of Ultracold Fermionic Gases

  黄备兵, 杨孝森

  理论物理通讯. 2018, 69(02): 137-142.

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  The gapless Weyl superfluid has been widely studied in the three-dimensional ultracold fermionic superfluid. In contrast to Weyl superfluid, there exists another kind of gapless superfluid with topologically protected nodal lines, which can be regarded as the superfluid counterpart of nodal line semimetal in the condensed matter physics, just as Weyl superfluid with Weyl semimetal. In this paper we study the ground states of the cold fermionic gases in cubic optical lattices with one-dimensional spin-orbit coupling and transverse Zeeman field and map out the topological phase diagram of the system. We demonstrate that in addition to a fully gapped topologically trivial phase, some different nodal line superfluid phases appear when the Zeeman field is adjusted. The presence of topologically stable nodal lines implies the dispersionless zero-energy flat band in a finite region of the surface Brillouin zone. Experimentally these nodal line superfluid states can be detected via the momentum-resolved radio-frequency spectroscopy. The nodal line topological superfluid provide fertile grounds for exploring exotic quantum matters in the context of ultracold atoms.
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  Entanglement Swapping in the Presence of White and Color Noise

  Ivan S. Dotsenko, R. Korobka

  理论物理通讯. 2018, 69(02): 143-153.

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  The influence of white and color noise on the outcome of the entanglement swapping process is investigated in a four-qubit system. Critical degree of noise in initial state, that could destroy entanglement in a result state is presented. The entanglement characteristics, such as concurrence, tangle, etc. are compared. Results could be helpful for experiments regarding entanglement swapping as conditions for initial quantum entangled states, to obtain entangled result state.
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  Investigation of Bose-Einstein Condensates in q-Deformed Potentials with First Order Perturbation Theory

  Ferhat Nutku, Ekrem Aydıner

  理论物理通讯. 2018, 69(02): 154-158.

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  The Gross-Pitaevskii equation, which is the governor equation of Bose-Einstein condensates, is solved by first order perturbation expansion under various q-deformed potentials. Stationary probability distributions reveal one and two soliton behavior depending on the type of the q-deformed potential. Additionally a spatial shift of the probability distribution is found for the dark soliton solution, when the q parameter is changed.
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  Dissipative Vortex Solitons in Defocusing Media with Spatially Inhomogeneous Nonlinear Absorption

  来娴静, 蔡晓鸥, 张解放

  理论物理通讯. 2018, 69(02): 159-165.

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  In this paper, by solving a complex nonlinear Schrödinger equation, radially symmetric dissipative vortex solitons are obtained analytically and are tested numerically. We find that spatially inhomogeneous nonlinear absorption gives rise to the stability of dissipative vortex solitons in self-defocusing nonlinear medium in the presence of constant linear gain. Numerical simulation reveals the interaction effect among linear gain and nonlinear loss in the azimuthal modulation instabilities of these vortices suppression. Apart from the uniform linear gain indeed affects the stability of vortex in this media, another noticeable feature of current setup is that the steep spatial modulation of the nonlinear absorption can suppress sidelobes effectively and support stable vortex solitons in situations with uniform linear gain. Under appropriate conditions, the vortex solitons can propagate stably and feature no symmetry breaking, although the beams exhibit radical compression and amplification as they propagate.
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  A Study of Gaugeon Formalism for QED in Lorentz Violating Background

  Mushtaq B. Shah, Prince A. Ganai

  理论物理通讯. 2018, 69(02): 166-172.

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  At the energy regimes close to Planck scales, the usual structure of Lorentz symmetry fails to address certain fundamental issues and eventually breaks down, thus paving the way for an alternative road map. It is thus argued that some subgroup of proper Lorentz group could stand consistent and might possibly help us to circumvent this problem. It is this subgroup that goes by the name of Very Special Relativity (VSR). Apart from violating rotational symmetry, VSR is believed to preserve the very tenets of special relativity. The gaugeon formalism due to type-I Yokoyama and type-Ⅱ Izawa are found to be invariant under BRST symmetry. In this paper, we analyze the scope of this invariance in the scheme of VSR. Furthermore, we will obtain VSR modified Lagrangian density using path integral derivation. We will explore the consistency of VSR with regard to these theories.
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  Thermodynamic Geometry of Charged AdS Black Hole Surrounded by Quintessence

  魏少文, 满清涛, 喻豪

  理论物理通讯. 2018, 69(02): 173-178.

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  In this paper, we study the thermodynamic geometry for the charged AdS black hole surrounded by quintessence. Three different kinds of the geometries are constructed, and the corresponding curvatures are obtained. It is found that there are different divergence behaviors of these curvatures, which is general thought to closely link to the phase transition of the black hole.
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  Dirac Quasinormal Modes of Static f(R) de Sitter Black Holes

  马洪

  理论物理通讯. 2018, 69(02): 179-187.

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  Quasinormal modes (QNMs) for Dirac perturbations of f(R) black holes (BHs) are described in this paper, involving two types of f(R) solution:f(R) (Schwarzschild) BHs and f(R) (Maxwell) BHs. With the finite difference method, the stability of the f(R) black holes (BHs) is analysed and the threshold range of f(R) (Schwarzschild) BHs and f(R) (Maxwell) BHs is defined respectively. The results show that due to the presence of the correction factor R₀, the damping rate of Dirac field decreases. Meanwhile, the influence of angular quantum number values |k| on the f(R) BHs is investigated. The results indicate that the QNMs oscillation becomes tenser and damping speed slowly decreases with |k| increasing. Furthermore, under the Dirac perturbation, the stability of f(R) solutions can be reflected in the manner of Dirac QNMs. The relationships between the QNMs and the parameters (|k|, charge Q and mass m) are discussed in massless, and massive cases, by contrast to the classical BHs.
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  Bilinear Forms and Soliton Solutions for the Reduced Maxwell-Bloch Equations with Variable Coefficients in Nonlinear Optics

  柴俊, 田播, 柴汉鹏

  理论物理通讯. 2018, 69(02): 188-190.

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  Investigation in this paper is given to the reduced Maxwell-Bloch equations with variable coefficients, describing the propagation of the intense ultra-short optical pulses through an inhomogeneous two-level dielectric medium. We apply the Hirota method and symbolic computation to study such equations. With the help of the dependent variable transformations, we present the variable-coefficient-dependent bilinear forms. Then, we construct the one-, two- and N-soliton solutions in analytic forms for them.
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  Scalar Hidden-Charm Tetraquark States with QCD Sum Rules

  狄尊燕, 王志刚, 张君霞, 于国梁

  理论物理通讯. 2018, 69(02): 191-202.

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  In this article, we study the masses and pole residues of the pseudoscalar-diquark-pseudoscalar-antidiquark type and vector-diquark-vector-antidiquark type scalar hidden-charm cucd (cucs) tetraquark states with QCD sum rules by taking into account the contributions of the vacuum condensates up to dimension-10 in the operator product expansion. The predicted masses can be confronted with the experimental data in the future. Possible decays of those tetraquark states are also discussed.
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  Parameterization of Nuclear Hulthén Potential for Nucleus-Nucleus Elastic Scattering

  J. Bhoi, R. Upadhyay, U. Laha

  理论物理通讯. 2018, 69(02): 203-210.

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  In contrast to Gaussian or Woods-Saxon potential a two-term four parameter nuclear Hulthén type interaction is considered to describe the α-α, α-³He and α-³H systems. By exploiting the phase function method, scattering phase shifts are computed up to E_Lab=100 MeV for the α-α system and E_Lab=15 MeV for α-³He and α-³H systems. The S-wave phase shift δ₀ for the α-α system tends to 2π and δ_3/2^- for the α-³He system tends to π, in the limit of zero energy. Reasonable agreements in phase shifts with the standard data are obtained with this simple potential model except for the 5/2^- states of α-³He and α-³H systems. With an additional energy-dependent correction factor to our potential, a good agreement with experimental data is obtained for 5/2^- states. We have also compared our results with the convenient Born approximations.
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  Phase Transition and Physical Properties of InS

  王海燕, 李晓凤, 许磊, 李旭升, 胡前库

  理论物理通讯. 2018, 69(02): 211-214.

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  Using the crystal structure prediction method based on particle swarm optimization algorithm, three phases (Pnnm, C2/m and Pm-3m) for InS are predicted. The new phase Pm-3m of InS under high pressure is firstly reported in the work. The structural features and electronic structure under high pressure of InS are fully investigated. We predicted the stable ground-state structure of InS was the Pnnm phase and phase transformation of InS from Pnnm phase to Pm-3m phase is firstly found at the pressure of about 29.5 GPa. According to the calculated enthalpies of InS with four structures in the pressure range from 20 GPa to 45 GPa, we find the C2/m phase is a metastable phase. The calculated band gap value of about 2.08 eV for InS with Pnnm structure at 0 GPa agrees well with the experimental value. Moreover, the electronic structure suggests that the C2/m and Pm-3m phase are metallic phases.
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  A New Quantum Gray-Scale Image Encoding Scheme

  Mosayeb Naseri, Mona Abdolmaleky, Fariborz Parandin, Negin Fatahi, Ahmed Farouk, Reza Nazari

  理论物理通讯. 2018, 69(02): 215-226.

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  In this paper, a new quantum images encoding scheme is proposed. The proposed scheme mainly consists of four different encoding algorithms. The idea behind of the scheme is a binary key generated randomly for each pixel of the original image. Afterwards, the employed encoding algorithm is selected corresponding to the qubit pair of the generated randomized binary key. The security analysis of the proposed scheme proved its enhancement through both randomization of the generated binary image key and altering the gray-scale value of the image pixels using the qubits of randomized binary key. The simulation of the proposed scheme assures that the final encoded image could not be recognized visually. Moreover, the histogram diagram of encoded image is flatter than the original one. The Shannon entropies of the final encoded images are significantly higher than the original one, which indicates that the attacker can not gain any information about the encoded images.