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Table of contents

    20 February 2007, Volume 16 Issue 2 Previous issue    Next issue
    GENERAL
    Eavesdropping on the `ping-pong' quantum communication protocol freely in a noise channel
    Deng Fu-Guo(邓富国), Li Xi-Han(李熙涵), Li Chun-Yan(李春燕), Zhou Ping(周萍), and Zhou Hong-Yu(周宏余)
    Chinese Physics, 2007, 16 (2):  277-281.  DOI: 10.1088/1009-1963/16/2/001
    Abstract ( 1872 )   PDF (123KB) ( 765 )  
    We introduce an attack scheme for eavesdropping freely the ping-pong quantum communication protocol proposed by Bostr?m and Felbinger [Phys. Rev. Lett. 89, 187902 (2002)] in a noise channel. The vicious eavesdropper, Eve, intercepts and measures the travel photon transmitted between the sender and the receiver. Then she replaces the quantum signal with a multi-photon signal in the same state, and measures the returned photons with the measuring basis, with which Eve prepares the fake signal except for one photon. This attack increases neither the quantum channel losses nor the error rate in the sampling instances for eavesdropping check. It works for eavesdropping the secret message transmitted with the ping-pong protocol. Finally, we propose a way for improving the security of the ping-pong protocol.
    A novel configuration model for random graphs with given degree sequence
    Xu Xin-Ping(徐新平) and Liu Feng(刘峰)
    Chinese Physics, 2007, 16 (2):  282-286.  DOI: 10.1088/1009-1963/16/2/002
    Abstract ( 1269 )   PDF (123KB) ( 594 )  
    Recently, random graphs in which vertices are characterized by hidden variables controlling the establishment of edges between pairs of vertices have attracted much attention. This paper presents a specific realization of a class of random network models in which the connection probability between two vertices (i,j) is a specific function of degrees ki and kj. In the framework of the configuration model of random graphs, we find the analytical expressions for the degree correlation and clustering as a function of the variance of the desired degree distribution. The obtained expressions are checked by means of numerical simulations. Possible applications of our model are discussed.
    A realistic model for complex networks with local interaction,self-organization and order
    Chen Fei(陈飞), Chen Zeng-Qiang(陈增强), and Yuan Zhu-Zhi(袁著祉)
    Chinese Physics, 2007, 16 (2):  287-291.  DOI: 10.1088/1009-1963/16/2/003
    Abstract ( 1857 )   PDF (333KB) ( 595 )  
    In this paper, a new mechanism for the emergence of scale-free distribution is proposed. It is more realistic than the existing mechanism. Based on our mechanism, a model responsible for the scale-free distribution with an exponent in a range of 3-to-5 is given. Moreover, this model could also reproduce the exponential distribution that is discovered in some real networks. Finally, the analytical result of the model is given and the simulation shows the validity of our result.
    A Birkhoff-Noether method of solving differential equations
    Shang Mei(尚玫), Guo Yong-Xin(郭永新), and Mei Feng-Xiang (梅凤翔)
    Chinese Physics, 2007, 16 (2):  292-295.  DOI: 10.1088/1009-1963/16/2/004
    Abstract ( 1570 )   PDF (94KB) ( 734 )  
    In this paper, a Birkhoff--Noether method of solving ordinary differential equations is presented. The differential equations can be expressed in terms of Birkhoff's equations. The first integrals for differential equations can be found by using the Noether theory for Birkhoffian systems. Two examples are given to illustrate the application of the method.
    A new high-order spectral problem of the mKdV and its associated integrable decomposition
    Ji Jie(季杰), Yao Yu-Qin(姚玉芹), Yu Jing(虞静), and Liu Yu-Qing(刘玉清)
    Chinese Physics, 2007, 16 (2):  296-302.  DOI: 10.1088/1009-1963/16/2/005
    Abstract ( 1399 )   PDF (119KB) ( 562 )  
    A new approach to formulizing a new high-order matrix spectral problem from a normal 2× 2 matrix modified Korteweg--de Vries (mKdV) spectral problem is presented. It is found that the isospectral evolution equation hierarchy of this new higher-order matrix spectral problem turns out to be the well-known mKdV equation hierarchy. By using the binary nonlinearization method, a new integrable decomposition of the mKdV equation is obtained in the sense of Liouville. The proof of the integrability shows that r-matrix structure is very interesting.
    Lie symmetry analysis and reduction of a new integrable coupled KdV system
    Qian Su-Ping(钱素平) and Tian Li-Xin(田立新)
    Chinese Physics, 2007, 16 (2):  303-309.  DOI: 10.1088/1009-1963/16/2/006
    Abstract ( 1510 )   PDF (126KB) ( 720 )  
    In this paper, Lie symmetry is investigated for a new integrable coupled Korteweg--de Vries (KdV) equation system. Using some symmetry subalgebra of the equation system, we obtain five types of the significant similarity reductions. Abundant solutions of the coupled KdV equation system, such as the solitary wave solution, exponential solution, rational solution and polynomial solution, etc. are obtained from the reduced equations. Especially, one type of group-invariant solution of reduced equations can be acquired by means of the Painlevé I transcendent function.
    New travelling wave solutions for combined KdV-mKdV equation and (2+1)-dimensional Broer-Kaup-Kupershmidt system
    Yang Xian-Lin(杨先林) and Tang Jia-Shi(唐驾时)
    Chinese Physics, 2007, 16 (2):  310-317.  DOI: 10.1088/1009-1963/16/2/007
    Abstract ( 1462 )   PDF (114KB) ( 824 )  
    Some new exact solutions of an auxiliary ordinary differential equation are obtained, which were neglected by Sirendaoreji et al in their auxiliary equation method. By using this method and these new solutions the combined Korteweg--de Vries (KdV) and modified KdV (mKdV) equation and (2+1)-dimensional Broer--Kaup--Kupershmidt system are investigated and abundant exact travelling wave solutions are obtained that include new solitary wave solutions and triangular periodic wave solutions.
    Entanglement-enhanced classical communication through generalized amplitude damping channel
    Hou Li-Zhen(侯丽珍) and Fang Mao-Fa(方卯发)
    Chinese Physics, 2007, 16 (2):  318-323.  DOI: 10.1088/1009-1963/16/2/008
    Abstract ( 1432 )   PDF (153KB) ( 563 )  
    The problem of sending a single classical bit through a generalized amplitude damping channel is considered. When two transmissions through the channel are available as a resource, we find that two entangled transmissions can enhance the capability of receiver's judging information correctly under certain conditions compared with two product-state transmissions. In addition, we find a special case in which the two entangled transmissions can always make a classical bit more effectively disable the noise influence.
    Ground-state entanglement in a three-spin transverse Ising model with energy current
    Zhang Yong(张勇), Liu Dan(刘丹), and Long Gui-Lu(龙桂鲁)
    Chinese Physics, 2007, 16 (2):  324-328.  DOI: 10.1088/1009-1963/16/2/009
    Abstract ( 1422 )   PDF (124KB) ( 535 )  
    The ground-state entanglement associated with a three-spin transverse Ising model is studied. By introducing an energy current into the system, a quantum phase transition to energy-current phase may be presented with the variation of external magnetic field; and the ground-state entanglement varies suddenly at the critical point of quantum phase transition. In our model, the introduction of energy current makes the entanglement between any two qubits become maximally robust.
    Teleportation of two-atom entangled state in resonant cavity quantum electrodynamics
    Yang Zhen-Biao(杨贞标)
    Chinese Physics, 2007, 16 (2):  329-334.  DOI: 10.1088/1009-1963/16/2/010
    Abstract ( 1652 )   PDF (127KB) ( 629 )  
    An alternative scheme is presented for teleportation of a two-atom entangled state in cavity quantum electrodynamics (QED). It is based on the resonant atom--cavity field interaction. In the scheme, only one cavity is involved, and the number of the atoms needed to be detected is decreased compared with the previous scheme. Since the resonant atom--cavity field interaction greatly reduces the interaction time, the decoherence effect can be effectively suppressed during the teleportation process. The experimental feasibility of the scheme is discussed. The scheme can easily be generalized to the teleportation of N-atom Greeninger--Horne--Zeilinger (GHZ) entangled states. The number of atoms needed to be detected does not increase as the number of the atoms in the GHZ state increases.
    The structure and dynamics of water inside armchair carbon nanotube
    Zhou Xiao-Yan(周晓艳) and Lu Hang-Jun(陆杭军)
    Chinese Physics, 2007, 16 (2):  335-339.  DOI: 10.1088/1009-1963/16/2/011
    Abstract ( 1308 )   PDF (180KB) ( 719 )  
    In this paper we present some simulation results about the behaviour of water molecules inside a single wall carbon nanotube (SWNT). We find that the confinement of water in an SWNT can induce a wave-like pattern distribution along the channel axis, similar phenomena are also observed in biological water channels. Carbon nanotubes(CNTs) can serve as simple nonpolar water channels. Molecular transport through narrow CNTs is highly collective because of tight hydrogen bonds in the protective environment of the pore. The hydrogen bond net is important for proton and other signal transports. The average dipoles of water molecules inside CNTs (7,7), (8,8) and (9,9) are discussed in detail. Simulation results indicate that the states of dipole are affected by the diameter of SWNT. The number of hydrogen bonds, the water--water interaction and water--CNT interaction are also studied in this paper.
    Evidence of parameter-induced aperiodic stochastic resonance with fixed noise
    Li Jian-Long(李建龙)
    Chinese Physics, 2007, 16 (2):  340-345.  DOI: 10.1088/1009-1963/16/2/012
    Abstract ( 1552 )   PDF (138KB) ( 553 )  
    Stochastic resonance (SR) is based on the cooperative effect between the stochastic dynamical system and the external forcing. As is well known, the cooperative effect is produced by adding noises. In this paper, we show the evidence that by changing the system parameters and the signal intensity, a nonlinear system in the presence of an input aperiodic signal can yield the cooperative effect, with the noise fixed. To quantify the nonlinear system output, we determine the theoretical bit error rate (BER). By numerical simulation, the validity of the theoretical derivation is checked. Besides, we show that parameter-induced SR is more realizable than SR via adding noises, especially when the noise intensity exceeds the resonance level, or when the characteristic of the noise is not known.
    Synchronization of chaotic systems with different orders
    Lü Ling(吕翎), Luan Ling(栾玲), and Guo Zhi-An(郭治安)
    Chinese Physics, 2007, 16 (2):  346-351.  DOI: 10.1088/1009-1963/16/2/013
    Abstract ( 1589 )   PDF (196KB) ( 692 )  
    A controller is designed to realize the synchronization between chaotic systems with different orders. The structure of the controller, the error equations and the Lyapunov functions are determined based on stability theory. Hyperchaotic Chen system and Rossler system are taken for example to demonstrate the method to be effective and feasible. Simulation results show that all the state variables of Rossler system can be synchronized with those of hyperchaotic Chen system by using only one controller, and the error signals approach zero smoothly and quickly.
    Least mean square error difference minimum criterion for adaptive chaotic noise canceller
    Zhang Jia-Shu(张家树)
    Chinese Physics, 2007, 16 (2):  352-358.  DOI: 10.1088/1009-1963/16/2/014
    Abstract ( 1247 )   PDF (295KB) ( 615 )  
    The least mean square error difference (LMS-ED) minimum criterion for an adaptive chaotic noise canceller is proposed in this paper. Different from traditional least mean square error minimum criterion in which the error is uncorrelated with the input vector, the proposed LMS-ED minimum criterion tries to minimize the correlation between the error difference and input vector difference. The novel adaptive LMS-ED algorithm is then derived to update the weights of adaptive noise canceller. A comparison between cancelling performances of adaptive least mean square (LMS), normalized LMS (NLMS) and proposed LMS-ED algorithms is simulated by using three kinds of chaotic noises. The simulation results clearly show that the proposed algorithm outperforms the LMS and NLMS algorithms in achieving small values of steady-state excess mean square error. Moreover, the computational complexity of the proposed LMS-ED algorithm is the same as that of the standard LMS algorithms.
    Energy-optimal control model for train movements
    Li Ke-Ping(李克平), Gao Zi-You(高自友), and Mao Bao-Hua(毛保华)
    Chinese Physics, 2007, 16 (2):  359-364.  DOI: 10.1088/1009-1963/16/2/015
    Abstract ( 1429 )   PDF (184KB) ( 1162 )  
    In this paper, we propose a new cellular automaton (CA) model for train movement simulations under mixed traffic conditions. A kind of control strategy is employed for trains to reduce energy consumption. In the proposed CA model, the driver controls the train movements by using some updated rules. In order to obtain a good insight into the evolution behaviours of the rail traffic flow, we investigate the space--time diagram of the rail traffic flow and the trajectories of the train movements. The numerical simulation results demonstrate that the proposed CA model can well describe the dynamic behaviours of the train movements. Some complex phenomena of train movements can be reproduced, such as the train delay propagations, etc.
    Multi-fractal analysis of highway traffic data
    Shang Peng-Jian(商朋见) and Shen Jin-Sheng(申金升)
    Chinese Physics, 2007, 16 (2):  365-373.  DOI: 10.1088/1009-1963/16/2/016
    Abstract ( 1331 )   PDF (241KB) ( 641 )  
    The purpose of the present study is to investigate the presence of multi-fractal behaviours in the traffic time series not only by statistical approaches but also by geometrical approaches. The pointwise H? lder exponent of a function is calculated by developing an algorithm for the numerical evaluation of H? lder exponent of time series. The traffic time series observed on the Beijing Yuquanying highway are analysed. The results from all these methods indicate that the traffic data exhibit the multi-fractal behaviour.
    ATOMIC AND MOLECULAR PHYSICS
    Radiative decay from doubly to singly excited states of He via generalization of Laguerre-type orbitals: A non-orthogonal formalism
    Xiong Zhuang(熊庄) and Bacalis N C
    Chinese Physics, 2007, 16 (2):  374-381.  DOI: 10.1088/1009-1963/16/2/017
    Abstract ( 1471 )   PDF (191KB) ( 444 )  
    By taking full account of the non-orthogonality of the orbitals between the low-lying doubly excited states 1Po and the singly excited states 1Se and 12De of He, the corresponding radiative decay rates have been investigated theoretically via analytic generalized Laguerre-type atomic orbitals at a nearly numerical multi-configuration self-consistent field accuracy in a general non-orthogonal configuration interaction scheme. From these rates, we calculate the VUV photon emission and metastable atom spectra, and both are found to be in good qualitative agreement with recent excellent measurements. We obtain, successfully, the enhancement of the VUV photon spectrum, experimentally observed at the energy of (2s4p-4s2p)/(2p,3d) 1Po as compared with other nearby lying states. The mechanism proposed by Odling-Smee et al is verified, implying that taking appropriate account of the overlap existing between orbitals of the low-lying doubly excited and singly excited states (especially important for the compact orbitals) can reveal basic physical dominant mechanism and is crucial in understanding these spectra.
    Saturation effects on Ba 6pnl (l=0,2) and 6pnk (|M|=0,1) autoionization spectra
    Li Shi-Ben(李士本) and Dai Chang-Jian(戴长建)
    Chinese Physics, 2007, 16 (2):  382-391.  DOI: 10.1088/1009-1963/16/2/018
    Abstract ( 1448 )   PDF (270KB) ( 493 )  
    Using a three-step laser saturation excitation technique, the saturation effects on the Ba 6pns (J=1) and 6pnd (J=1, 3) autoionization spectra are observed systemically in zero field. These saturation spectra are introduced to determine the high n members of 6pnl (l=0, 2) autoionizing series and are used to analyse the channel interactions among the autoionizing series in zero field. Furthermore, the saturation excitation technique is applied to the electric field case, in which the saturation spectra of Ba 6pnk (|M|=0, 1) autoionizing Stark states are measured. Most of these saturation spectra are observed for the first time so far as we know, which indicate the mixing of the autoionizing states in the electric fields.
    Protein structural codes and nucleation sites for protein folding
    Jiang Fan(江凡) and Li Nan(李南)
    Chinese Physics, 2007, 16 (2):  392-404.  DOI: 10.1088/1009-1963/16/2/019
    Abstract ( 1661 )   PDF (1017KB) ( 548 )  
    One of the long-standing controversial arguments in protein folding is Levinthal's paradox. We have recently proposed a new nucleation hypothesis and shown that the nucleation residues are the most conserved sequences in protein. To avoid the complicated effect of tertiary interactions, we limit our search for structural codes to the nucleation residues. Starting with the hypotheses of secondary structure nucleation and conservation of residues important for folding, we have analysed 762 folds classified as unique by SCOP. Segments of 17 residues around the top 20% conserved amino acids are analysed, resulting in approximately 100 clusters each for the main secondary structure classes of helix, sheet and coil. Helical clusters have the longest correlation range, coils the shortest (four residues). Strong specific sequence-structure correlation is observed for coil but not for helix and sheet, suggesting a mapping relationship between the sequence and the structure for coil. We propose that the central sequences in these clusters form `structural codes', a useful basis set for identifying nucleation sites, protein fragments stable in isolation, and secondary structural patterns in proteins (particularly turns and loops).
    Molecular dynamics simulation of thermodynamical properties of copper clusters
    Wu Zhi-Min(毋志民), Wang Xin-Qiang(王新强), and Yang Yuan-Yuan(杨媛媛)
    Chinese Physics, 2007, 16 (2):  405-410.  DOI: 10.1088/1009-1963/16/2/020
    Abstract ( 1624 )   PDF (145KB) ( 785 )  
    The melting and freezing processes of CuN (N=180, 256, 360, 408, 500, 628 and 736) nanoclusters are simulated by using micro-canonical molecular dynamics simulation technique. The potential energies and the heat capacities as a function of temperature are obtained. The results reveal that the melting and freezing points increase almost linearly with the atom number in the cluster increasing. All copper nanoclusters have negative heat capacity around the melting and freezing points, and hysteresis effect in the melting/freezing transition is derived in CuN nanoclusters for the first time.
    CLASSICAL AREAS OF PHENOMENOLOGY
    Coherence vortices of partially coherent beams in the far field
    Liu Pu-Sheng(刘普生) and Lü Bai-da(吕百达)
    Chinese Physics, 2007, 16 (2):  411-415.  DOI: 10.1088/1009-1963/16/2/021
    Abstract ( 1641 )   PDF (1910KB) ( 680 )  
    Based on the propagation law of cross-spectral density function, studied in this paper are the coherence vortices of partially coherent, quasi-monochromatic singular beams with Gaussian envelope and Schell-model correlator in the far field, where our main attention is paid to the evolution of far-field coherence vortices into intensity vortices of fully coherent beams. The results show that, although there are usually no zeros of intensity in partially coherent beams with Gaussian envelope and Schell-model correlator, zeros of spectral degree of coherence exist. The coherence vortices of spectral degree of coherence depend on the relative coherence length, mode index and positions of pairs of points. If a point and mode index are kept fixed, the position of coherence vortices changes with the increase of the relative coherence length. For the low coherent case there is a circular phase dislocation. In the coherent limit coherence vortices become intensity vortices of fully coherent Laguerre--Gaussian beams.
    Quantum state transfer via adiabatic passage
    Chen Mei-Ying(陈美英), Lin Xiu-Min(林秀敏), and Chen Zhi-Hua(陈志华)
    Chinese Physics, 2007, 16 (2):  416-419.  DOI: 10.1088/1009-1963/16/2/022
    Abstract ( 1300 )   PDF (123KB) ( 495 )  
    Based on adiabatic passage, we propose a scheme for implementing the quantum transfer of an unknown atomic state. In our scheme, we utilize photons for ideal quantum transmission between two cavities with the successful probability being about 1. Meanwhile, the scheme is robust against the effects of atomic spontaneous emission. It may be useful for transferring quantum information among spatially distant atoms.
    Entropy squeezing of a moving atom and control of noise of the quantum mechanical channel via the two-photon process
    Zhou Bing-Ju(周并举), Liu Xiao-Juan(刘小娟), Zhou Qing-Ping(周清平), and Liu Ming-Wei(刘明伟)
    Chinese Physics, 2007, 16 (2):  420-428.  DOI: 10.1088/1009-1963/16/2/023
    Abstract ( 1476 )   PDF (197KB) ( 578 )  
    Based on the quantum information theory, we have investigated the entropy squeezing of a moving two-level atom interacting with the coherent field via the quantum mechanical channel of the two-photon process. The results are compared with those of atomic squeezing based on the Heisenberg uncertainty relation. The influences of the atomic motion and field-mode structure parameter on the atomic entropy squeezing and on the control of noise of the quantum mechanical channel via the two-photon process are examined. Our results show that the squeezed period, duration of optimal entropy squeezing of a two-level atom and the noise of the quantum mechanical channel can be controlled by appropriately choosing the atomic motion and the field-mode structure parameter, respectively. The quantum mechanical channel of two-photon process is an ideal channel for quantum information (atomic quantum state) transmission. Quantum information entropy is a remarkably accurate measure of the atomic squeezing.
    Enhancement of Kerr nonlinearity with vanishing absorption in a tripod scheme
    Sun Hui(孙辉), Niu Yue-Ping(钮月萍), and Gong Shang-Qing(龚尚庆)
    Chinese Physics, 2007, 16 (2):  429-434.  DOI: 10.1088/1009-1963/16/2/024
    Abstract ( 1339 )   PDF (192KB) ( 669 )  
    The giant enhancement of Kerr nonlinearity in a four-level tripod type system is investigated theoretically. By tuning the value of the Rabi frequency of the coherent control field, owing to the double dark resonances, the giant-enhanced Kerr nonlinearity can be achieved within the right transparency window. The influence of Doppler broadening is also discussed.
    Engineering three-dimensional maximally entangled states for two modes in a bimodal cavity
    Yang Zhen-Biao(杨贞标) and Su Wan-Jun(苏万钧)
    Chinese Physics, 2007, 16 (2):  435-440.  DOI: 10.1088/1009-1963/16/2/025
    Abstract ( 1337 )   PDF (118KB) ( 424 )  
    An alternative scheme is proposed for engineering three-dimensional maximally entangled states for two modes of a superconducting microwave cavity. In this scheme, an appropriately prepared four-level atom is sent through a bimodal cavity. During its passing through the cavity, the atom is coupled resonantly with two cavity modes simultaneously and addressed by a classical microwave pulse tuned to the required transition. Then the atomic states are detected to collapse two modes onto a three-dimensional maximally entangled state. The scheme is different from the previous one in which two nonlocal cavities are used. A comparison between them is also made.
    Phase-dependent inversionless gain in a four-level atomic system with a closed interaction loop
    Xu Wei-Hua(徐卫华), Wu Jin-Hui(吴金辉), and Gao Jin-Yue(高锦岳)
    Chinese Physics, 2007, 16 (2):  441-448.  DOI: 10.1088/1009-1963/16/2/026
    Abstract ( 1396 )   PDF (181KB) ( 573 )  
    A four-level atomic system with a closed interaction loop connected by two coherent driving fields and a microwave field is investigated. The results show that inversionless gain can be achieved on a higher frequency transition outside the closed interaction loop, and the gain behaviour can be modulated by the phase of the closed loop as well as the amplitude of the microwave field. The phase sensitivity property in such a scheme is similar to that in an analogous configuration with spontaneously generated coherence, but it is beyond the rigorous condition of near-degenerate levels with non-orthogonal dipole moments. Therefore this scheme is much more convenient in experimental realization.
    Generation and propagation of subpicosecond pulse train
    Zhang Hua-Feng(张华峰), Wang Juan-Fen(王娟芬), Li Lu(李录), Jia Suo-Tang(贾锁堂), and Zhou Guo-Sheng(周国生)
    Chinese Physics, 2007, 16 (2):  449-455.  DOI: 10.1088/1009-1963/16/2/027
    Abstract ( 1363 )   PDF (290KB) ( 554 )  
    Higher-order nonlinear Schr?dinger equation with the Hirota constraint conditions is considered, and an analytic solution, which can describe the modulational instability process, is presented. Based on the solution, a new pulse train without continuous wave (CW) background is generated in quadratures and the propagation of the pulse train is discussed in detail by simulating numerically. The results show that, unlike the propagation of the picosecond pulse train, under the effects of the higher-order terms, the pulse train cannot propagate along the fibre when the energy is very high; however, for some medium energy the pulse train can stably propagate. We also investigate the stability of the pulse train against violation of the Hirota conditions, and the results show that the pulse train can still propagate stably when the Hirota conditions are broken.
    Intense laser beam guiding in self-induced electron cavitation channel in underdense plasmas
    Cang Yu(苍宇), Yu Wei(余玮), Wu Hui-Chun(武慧春), Xu Han(徐涵), and Tian You-Wei(田友伟)
    Chinese Physics, 2007, 16 (2):  456-462.  DOI: 10.1088/1009-1963/16/2/028
    Abstract ( 1355 )   PDF (179KB) ( 580 )  
    In underdense plasmas, the transverse ponderomotive force of an intense laser beam with Gaussian transverse profile expels electrons radially, and it can lead to an electron cavitation. An improved cavitation model with charge conservation constraint is applied to the determination of the width of the electron cavity. The envelope equation for laser spot size derived by using source-dependent expansion method is extended to including the electron cavity. The condition for self-guiding is given and illuminated by an effective potential for the laser spot size. The effects of the laser power, plasma density and energy dissipation on the self-guiding condition are discussed.
    Chaos synchronization in injection-locked semiconductor lasers with optical feedback
    Liu Yu-Jin(刘玉金), Zhang Sheng-Hai(张胜海), and Qian Xing-Zhong(钱兴中)
    Chinese Physics, 2007, 16 (2):  463-467.  DOI: 10.1088/1009-1963/16/2/029
    Abstract ( 1445 )   PDF (273KB) ( 766 )  
    Based on the rate equations, we have investigated three types of chaos synchronizations in injection-locked semiconductor lasers with optical feedback. Numerical simulation shows that the synchronization can be realized by the symmetric or asymmetric laser systems. Also, the influence of parameter mismatches on chaos synchronization is investigated, and the results imply that these two lasers can achieve good synchronization, with smaller tolerance of parameter mismatch existing.
    Improving nucleation in the fabrication of high-quality 3D macro-porous copper film through the surface-modification of a polystyrene colloid-assembled template
    Lan Ding(蓝鼎), Wang Yu-Ren(王育人), Yu Yong(于泳), Ma Wen-Jie(马文杰), and Li Cheng(李程)
    Chinese Physics, 2007, 16 (2):  468-471.  DOI: 10.1088/1009-1963/16/2/030
    Abstract ( 1506 )   PDF (1809KB) ( 556 )  
    A new approach is developed to the fabrication of high-quality three-dimensional macro-porous copper films. A highly-ordered macroporous copper film is successfully produced on a polystyrene sphere (PS) template that has been modified by sodium dodecyl sulfate (SDS). It is shown that this procedure can change a hydrophobic surface of PS template into a hydrophilic surface. The present study is devoted to the influence of the electrolyte solution transport on the nucleation process. It is demonstrated that the permeability of the electrolyte solution in the nanochannels of the PS template plays an important role in the chemical electrodeposition of high-quality macroporous copper film. The permeability is drastically enhanced in our experiment through the surface modification of the PS templates. The method could be used to homogeneously produce a large number of nucleations on a substrate, which is a key factor for the fabrication of the high-quality macroporous copper film.
    Accurate determination of the absolute phase and temporal-pulse phase of few-cycle laser pulses
    Xia Ke-Yu(夏可宇), Gong Shang-Qing(龚尚庆), Niu Yue-Ping(钮月萍), Li Ru-Xin(李儒新), and Xu Zhi-Zhan(徐至展)
    Chinese Physics, 2007, 16 (2):  472-477.  DOI: 10.1088/1009-1963/16/2/031
    Abstract ( 1434 )   PDF (264KB) ( 471 )  
    A Fourier analysis method is used to accurately determine not only the absolute phase but also the temporal-pulse phase of an isolated few-cycle (chirped) laser pulse. This method is independent of the pulse shape and can fully characterize the light wave even though only a few samples per optical cycle are available. It paves the way for investigating the absolute phase-dependent extreme nonlinear optics, and the evolutions of the absolute phase and the temporal-pulse phase of few-cycle laser pulses.
    Design and fabrication of Panda-type erbium-doped polarization-maintaining fibres
    Zheng Kai(郑凯), Chang De-Yuan(常德远), Fu Yong-Jun(傅永军), Wei Huai(魏淮), Wei Yan(卫延), Yan Feng-Ping(延凤平), Lou Shu-Qin(娄淑琴), Ning Ti-Gang(宁提纲), Jian Wei(简伟), and Jian Shui-Sheng(简水生)
    Chinese Physics, 2007, 16 (2):  478-484.  DOI: 10.1088/1009-1963/16/2/032
    Abstract ( 1311 )   PDF (242KB) ( 781 )  
    To obtain the stable operation of erbium-doped fibre laser, the simple and ideal technology is adopted by use of the erbium doped polarization maintaining fibre (EDPMF). The design criteria of the Panda-type EDPMF are presented, which take into account the cutoff wavelength, mode field diameter, modal birefringence and background loss. Four groups of optimum structural parameter combinations are determined in terms of the design criteria. Two kinds of the Panda-type EDPMFs are selected to be fabricated. The fabrication process and the parameter control of the Panda-type EDPMFs are presented in detail. Their refractive index profiles, birefringence and absorption spectra are experimentally investigated. The absorption coefficient of the EDPMF, whose core is co-doped with Bi, Ga, Al and Ge, is about 57.9dB/m at 1.53$\mu$m. Co-doping Bi, Ga and Al can greatly increase the erbium concentration in the silica-based fibre. The high birefringence is obtained for the Panda-type EDPMF. The group birefringence of the EDPMF, whose outer cladding diameter is 125$\mu$m, is about 4.8$\times$10-4.
    PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES
    Simulation of radio-frequency atmospheric pressure glow discharge in $\gamma$ mode
    Shang Wan-Li(尚万里), Wang De-Zhen(王德真), and Michael G. Kong
    Chinese Physics, 2007, 16 (2):  485-492.  DOI: 10.1088/1009-1963/16/2/033
    Abstract ( 1639 )   PDF (306KB) ( 704 )  
    The existence of two different discharge modes has been verified in an rf (radio-frequency) atmospheric pressure glow discharge (APGD) by Shi [J. Appl. Phys. 97, 023306 (2005)]. In the first mode, referred to as $\alpha$ mode, the discharge current density is relatively low and the bulk plasma electrons acquire the energy due to the sheath expansion. In the second mode, termed $\gamma$ mode, the discharge current density is relatively high, the secondary electrons emitted by cathode under ion bombardment in the cathode sheath region play an important role in sustaining the discharge. In this paper, a one-dimensional self-consistent fluid model for rf APGDs is used to simulate the discharge mechanisms in the $\gamma$ mode in helium discharge between two parallel metallic planar electrodes. The results show that as the applied voltage increases, the discharge current becomes greater and the plasma density correspondingly increases, consequentially the discharge transits from the $\alpha$ mode into the $\gamma$ mode. The high collisionality of the APGD plasma results in significant drop of discharge potential across the sheath region, and the electron Joule heating and the electron collisional energy loss reach their maxima in the region. The validity of the simulation is checked with the available experimental and numerical data.
    CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES
    Anchoring properties of substrate with a grating surface
    Ye Wen-Jiang(叶文江), Xing Hong-Yu(邢红玉), and Yang Guo-Chen(杨国琛)
    Chinese Physics, 2007, 16 (2):  493-498.  DOI: 10.1088/1009-1963/16/2/034
    Abstract ( 1509 )   PDF (152KB) ( 528 )  
    The anchoring properties of substrate with a grating surface are investigated analytically. The alignment of nematic liquid crystal (NLC) in a grating surface originates from two mechanisms, thus the anchoring energy consists of two parts. One originates from the interaction potential between NLC molecules and the molecules on the substrate surface, and the other stems from the increased elastic strain energy. Based on the two mechanisms, the expression of anchoring energy per unit area of a projected plane of this grating surface is deduced and called the equivalent anchoring energy formula. Both the strength and the easy direction of equivalent anchoring energy are a function of the geometrical parameters (amplitude and pitch) of a grating surface. By using this formula, the grating surface can be replaced by its projected plane and its anchoring properties can be described by the equivalent anchoring energy formula.
    Thermoelasticity of CaO from first principles
    Liu Zi-Jiang(刘子江), Qi Jian-Hong(祁建宏), Guo Yuan(郭媛), Chen Qi-Feng(陈其峰), Cai Ling-Cang(蔡灵仓), and Yang Xiang-Dong(杨向东)
    Chinese Physics, 2007, 16 (2):  499-505.  DOI: 10.1088/1009-1963/16/2/035
    Abstract ( 1527 )   PDF (200KB) ( 685 )  
    The thermoelastic properties of CaO over a wide range of pressure and temperature are studied using density functional theory in the generalized gradient approximation. The transition pressure taken from the enthalpy calculations is 66.7GPa for CaO, which accords with the experimental result very well. The athermal elastic moduli of the two phases of CaO are calculated as a function of pressure up to 200GPa. The calculated results are in excellent agreement with existing experimental data at ambient pressure and compared favourably with other pseudopotential predictions over the pressure regime studied. It is also found that the degree of the anisotropy rapidly decreases with pressure increasing in the B1 phase, whereas it strongly increases as the pressure increases in the B2 phase. The thermodynamic properties of the B1 phase of CaO are predicted using the quasi-harmonic Debye model; the heat capacity and entropy are consistent with other previous results at zero pressure.
    CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES
    Electronic structures and magnetism of Fe nanowires on Cu(001) and Ag(001): A first-principles study
    Jin Ying-Jiu(金迎九), Lin Jing-Bo(林景波), and Lee Jae Il(李在一)
    Chinese Physics, 2007, 16 (2):  506-510.  DOI: 10.1088/1009-1963/16/2/036
    Abstract ( 1442 )   PDF (188KB) ( 723 )  
    The electronic structures and magnetism of Fe nanowires along the [110] direction on Cu(001) and Ag(001) [Fe(nw)/Cu(001) and Fe(nw)/Ag(001)] are investigated by using the all-electron full-potential linearized augmented plane wave method in the generalized gradient approximation. It is found that the magnetic moment of Fe atom for the Fe(nw)/Cu(001) is 2.99$\mu$B, which is slightly smaller than that (3.02$\mu$B) for the Fe(nw)/Ag(001) but much larger than that (2.22$\mu$B) for the bcc iron. The great enhancement of magnetic moment in the Fe nanowires can be explained by the Fe d-band narrowing and enhancement of the spin-splitting due to a reduction in coordination number. From the calculated spin-polarized layer-projected density of states, it is found that the Fe 3d-states are strongly hybridized with the adjacent Cu 3d-states in the Fe(nw)/Cu(001), and there exists a strong hybridization between the Fe sp- and the adjacent Ag 4d-states in the Fe(nw)/Ag(001).


    (Retraction: Due to the fault of the author(s), the article entitled ``Electronic structures and magnetism of Fe nanowires on Cu(001) and Ag(001): A first-principles study'', published in 2007 Vol.16, No.2, pp506-510, has been clarified to be a duplicate of the following articles, which have been published in (i) Jin Y J et al 2004 Physica Status Solidi b241 pp1431-1434; (ii) Jin Y J et al 2005 Journal of the Korean Magnetics Society Vol.15 pp217-220. So the above article in Chinese Physics will be withdrawn from the publication.)
    A resistance formula for coherent multi-barrier structures
    Zhang Zhi-Chen(张致琛) and Yang Jian-Hong(杨建红)
    Chinese Physics, 2007, 16 (2):  511-516.  DOI: 10.1088/1009-1963/16/2/037
    Abstract ( 1490 )   PDF (110KB) ( 460 )  
    Using the Landauer formula and the quantum S-matrix scattering theory, we derive a resistance formula for multi-barrier structure under phase coherent transmission condition. This formula shows that when the transport is coherent, the potential wells of the structure are just like conductors contributing to the overall resistance. And because the resistance formula is derived based on the scattering theory, the barrier resistance will change with the number of scattering centres (i.e. the number of barriers) in the structure.
    Anomalous Hall effect of heavy holes in III-V semiconductor quantum wells
    Wang Zhi-Gang (王志刚) and Zhang Ping (张平)
    Chinese Physics, 2007, 16 (2):  517-523.  DOI: 10.1088/1009-1963/16/2/038
    Abstract ( 1521 )   PDF (564KB) ( 544 )  
    The anomalous Hall effect of heavy holes in semiconductor quantum wells is studied in the intrinsic transport regime, where the Berry curvature governs the Hall current properties. Based on the first--order perturbation of wave function the expression of the Hall conductivity the same as that from the semiclassical equation of motion of the Bloch particles is derived. The dependence of Hall conductivity on the system parameters is shown. The amplitude of Hall conductivity is found to be balanced by a competition between the Zeeman splitting and the spin--orbit splitting.
    Improvement of electrical properties of Cu/SiCOH low-k film integrated system by O2 plasma treatment
    Qian Xiao-Mei(钱晓梅), Wei Yong-Xia(卫永霞), Yu Xiao-Zhu(俞笑竹), Ye Chao(叶超), Ning Zhao-Yuan(宁兆元), and Liang Rong-Qing(梁荣庆)
    Chinese Physics, 2007, 16 (2):  524-528.  DOI: 10.1088/1009-1963/16/2/039
    Abstract ( 1375 )   PDF (174KB) ( 625 )  
    This paper investigates the effect of O2 plasma treatment on the electric property of Cu/SiCOH low dielectric constant (low-k) film integrated structure. The results show that the leakage current of Cu/SiCOH low-k integrated structure can be reduced obviously at the expense of a slight increase in dielectric constant k of SiCOH films. By the Fourier transform infrared (FTIR) analysis on the bonding configurations of SiCOH films treated by O2 plasma, it is found that the decrease of leakage current is related to the increase of Si-O cages originating from the linkage of Si dangling bonds through O, which makes the open pores sealed and reduces the diffusion of Cu to pores.
    Electrical properties and reliability of HfO2 gate-dielectric MOS capacitors with trichloroethylene surface pretreatment
    Xu Jing-Ping(徐静平), Chen Wei-Bing(陈卫兵), Lai Pui-To(黎沛涛), Li Yan-Ping(李艳萍), and Chan Chu-Lok(陈铸略)
    Chinese Physics, 2007, 16 (2):  529-532.  DOI: 10.1088/1009-1963/16/2/040
    Abstract ( 1563 )   PDF (147KB) ( 511 )  
    Trichloroethylene (TCE) pretreatment of Si surface prior to HfO2 deposition is employed to fabricate HfO2 gate-dielectric MOS capacitors. Influence of this processing procedure on interlayer growth, HfO2/Si interface properties, gate-oxide leakage and device reliability is investigated. Among the surface pretreatments in NH3, NO, N2O and TCE ambients, the TCE pretreatment gives the least interlayer growth, the lowest interface-state density, the smallest gate leakage and the highest reliability. All these improvements should be ascribed to the passivation effects of Cl2 and HCl on the structural defects in the interlayer and at the interface, and also their gettering effects on the ion contamination in the gate dielectric.
    Persistent spin current in a quantum wire with weak Dresselhaus spin--orbit coupling
    Sheng Wei(盛威), Wang Yi(王羿), and Zhou Guang-Hui(周光辉)
    Chinese Physics, 2007, 16 (2):  533-536.  DOI: 10.1088/1009-1963/16/2/041
    Abstract ( 1560 )   PDF (113KB) ( 544 )  
    The spin current in a parabolically confined semiconductor heterojunction quantum wire with Dresselhaus spin--orbit coupling is theoretically studied by using the perturbation method. The formulae of the elements for linear and angular spin current densities are derived by using the recent definition for spin current based on spin continuity equation. It is found that the spin current in this Dresselhaus spin--orbit coupling quantum wire is antisymmetrical, which is different from that in Rashba model due to the difference in symmetry between these two models. Some numerical examples for the result are also demonstrated and discussed.
    Investigation of gate current in nano-scale MOSFETs by Monte Carlo solution of quantum Boltzmann equation
    Xia Zhi-Liang(夏志良), Du Gang(杜刚), Liu Xiao-Yan(刘晓彦), Kang Jin-Feng(康晋锋), and Han Ru-Qi(韩汝琦)
    Chinese Physics, 2007, 16 (2):  537-541.  DOI: 10.1088/1009-1963/16/2/042
    Abstract ( 1571 )   PDF (190KB) ( 594 )  
    This paper investigates gate current through ultra-thin gate oxide of nano-scale metal oxide semiconductor field effect transistors (MOSFETs), using two-dimensional (2D) full-band self-consistent ensemble Monte Carlo method based on solving quantum Boltzmann equation. Direct tunnelling, Fowler--Nordheim tunnelling and thermionic emission currents have been taken into account for the calculation of total gate current. The 2D effect on the gate current is investigated by including the details of the energy distribution for electron tunnelling through the barrier. In order to investigate the properties of nano scale MOSFETs, it is necessary to simulate gate tunnelling current in 2D including non-equilibrium transport.
    Effect of annealing treatments on the microwave electromagnetic properties of amorphous FeCuNbSiB microwires
    Liang Di-Fei(梁迪飞), Han Man-Gui(韩满贵), Yan Bo(鄢波), and Deng Long-Jiang(邓龙江)
    Chinese Physics, 2007, 16 (2):  542-547.  DOI: 10.1088/1009-1963/16/2/043
    Abstract ( 1309 )   PDF (436KB) ( 646 )  
    The amorphous FeCuNbSiB microwires are fabricated by using the melt extraction method and annealed separately at temperatures T = 573, 673, 723 and 773K for 1h. The effect of annealing treatment on the microwave electromagnetic properties of FeCuNbSiB wires/wax composites has been investigated for the first time. It is found that in a frequency range of 0.5--4.0GHz, the complex permittivity, permeability, magnetic and electric loss tangents of FeCuNbSiB wires/wax composites are strongly dependent on the annealing temperature and frequency. For T = 573, 723 and 773K, two resonance peaks are found at frequency f = 1.2 and 3.3GHz. However, for T = 673K, only one resonance peak occurs at f = 3.3GHz. The resonance peak at f = 1.2GHz is believed to be due to the stress-induced anisotropy, while the resonance peak at f = 3.3GHz is attributed to the random anisotropy.
    CROSS DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY
    Effect of RF power on the properties of transparent conducting zirconium-doped zinc oxide films prepared by RF magnetron sputtering
    Lü Mao-Shui(吕茂水), Pang Zhi-Yong(庞智勇), Xiu Xian-Wu(修显武), Dai Ying(戴瑛), and Han Sheng-Hao(韩圣浩)
    Chinese Physics, 2007, 16 (2):  548-552.  DOI: 10.1088/1009-1963/16/2/044
    Abstract ( 1329 )   PDF (523KB) ( 726 )  
    Transparent and conducting zirconium-doped zinc oxide films with high transparency and relatively low resistivity have been successfully prepared by radio frequency (RF) magnetron sputtering at room temperature. The RF power is varied from 75 to 150W. At first the crystallinity and conductivity of the film are improved and then both of them show deterioration with the increase of the RF power. The lowest resistivity achieved is 2.07×10-3$\Omega$cm at an RF power of 100W with a Hall mobility of 16cm2V-1s-1 and a carrier concentration of 1.95×1020cm-3. The films obtained are polycrystalline with a hexagonal structure and a preferred orientation along the c-axis. All the films have a high transmittance of approximately 92% in the visible range. The optical band gap is about 3.33eV for the films deposited at different RF powers.
    Formation mechanism of incubation layers in the initial stage of microcrystalline silicon growth by PECVD
    Hou Guo-Fu(侯国付), Xue Jun-Ming(薛俊明), Guo Qun-Chao(郭群超), Sun Jian(孙建), Zhao Ying(赵颖), Geng Xin-Hua(耿新华), and Li Yi-Gang(李乙钢)
    Chinese Physics, 2007, 16 (2):  553-557.  DOI: 10.1088/1009-1963/16/2/045
    Abstract ( 1320 )   PDF (151KB) ( 706 )  
    The incubation layers in microcrystalline silicon films ($\mu$c-Si:H) are studied in detail. The incubation layers in $\mu$c-Si:H films are investigated by bifacial Raman spectra, and the results indicate that either decreasing silane concentration (SC) or increasing plasma power can reduce the thickness of incubation layer. The analysis of the in-situ diagnosis by plasma optical emission spectrum (OES) shows that the emission intensities of the SiH*(412 nm) and H$_{\alpha}$ (656nm) lines are time-dependent, thus SiH*/H$_{\alpha}$ ratio is of temporal evolution. The variation of SiH*/H$_{\alpha}$ ratio can indicate the variation in relative concentration of precursor and atomic hydrogen in the plasma. And the atomic hydrogen plays a crucial role in the formation of $\mu$c-Si:H; thus, with the plasma excited, the temporal-evolution SiH*/H$_{\alpha}$ ratio has a great influence on the formation of an incubation layer in the initial growth stage. The fact that decreasing the SC or increasing the plasma power can decrease the SiH*/H$_{\alpha}$ ratio is used to explain why the thickness of incubation layer can reduce with decreasing the SC or increasing the plasma power.
    GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS
    On the ponderomotive force and the effect of loss reaction on parametric instability
    Wu Jun(吴军), Wu Jian(吴健), and Cesar La Hoz
    Chinese Physics, 2007, 16 (2):  558-563.  DOI: 10.1088/1009-1963/16/2/046
    Abstract ( 1534 )   PDF (126KB) ( 551 )  
    In this paper, the growth rate, ponderomotive force and the exciting condition for parametric instability are derived by considering the loss reaction using a new method. On the basis of the hydrodynamic equations, we take the production and loss reactions in plasma into account to derive the coupling equations for the electron plasma oscillation and ion acoustic oscillation, and obtain the growth rate for the parametric instability, the ponderomotive force and the exciting condition. The result shows that (a) the production reaction has no effect on the parametric instability, and the effect of loss reaction on the parametric instability is a damping one, (b) the more intensive the external field or pump is, the larger the growth rate is, (c) there exist two modes of the ponderomotive force, i.e.\ the high frequency mode and the low frequency mode, and (d) when ponderomotive force counteracts the damping force, the oscillations become non-damping and non-driving. The ratio of the electron plasma oscillation to ion acoustic oscillation is independent of the loss reaction and the external field.
ISSN 1674-1056   CN 11-5639/O4
, Vol. 16, No. 2

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