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A Relation of the Noncommutative Parameters in Generalized Noncommutative Phase Space

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Chinese physics Letters 2016年第11期33卷 22-24页

作者：林冰生衡太骅 school of Mathematics South China University of Technology school of physics and material science Anhui University

We introduce the deformed boson operators which satisfy a deformed boson algebra in some special types of generalized noncommutative phase space. Based on the deformed boson algebra, we construct coherent state representations. We calculate the variances of the coordinate operators on the coherent states and investigate the corresponding Heisenberg uncertainty relations. It is found that there are some restriction relations of the noncommutative parameters in these special types of noncommutative phase space.

关键词： of on is in have A Relation of the Noncommutative Parameters in Generalized Noncommutative Phase Space

Neural network representations of quantum many-body states

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science china(physics,Mechanics & Astronomy) 2020年第1期63卷 55-69页

作者： Ying Yang HuaiXin Cao ZhanJun Zhang school of Mathematics and Information science Shaanxi Normal UniversityXi'an 710119China school of Mathematics and Information Technology Yuncheng UniversityYuncheng 044000China school of physics and materials science Anhui UniversityHefei 230039China

Machine learning is currently the most active interdisciplinary field having numerous applications; additionally, machine-learning techniques are used to research quantum many-body problems. In this study, we first propose neural network quantum states(NNQSs) with general input observables and explore a few related properties, such as the tensor product and local unitary operation. Second, we determine the necessary and sufficient conditions for the representability of a general graph state using normalized NNQS. Finally, to quantify the approximation degree of a given pure state, we define the best approximation degree using normalized NNQSs. Furthermore, we observe that some N-qubit states can be represented by a normalized NNQS, such as separable pure states, Bell states and GHZ states.

关键词： representation neural network quantum state graph state

Adaptive Synchronization of Fractional Order Complex-Variable Dynamical Networks via Pinning Control

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Communications in Theoretical physics 2017年第9期67卷 366-374页

作者： Da-Wei Ding Jie Yah Nian Wang Dong Liang school of Electronics and Information Engineering Anhui University Hefei 230039 China

In this paper, the synchronization of fractional order complex-variable dynamical networks is studied using an adaptive pinning control strategy based on close center degree. Some effective criteria for global synchronization of fractional order complex-variable dynamical networks are derived based on the Lyapunov stability theory. From the theoretical analysis, one concludes that under appropriate conditions, the complex-variable dynamical networks can realize the global synchronization by using the proper adaptive pinning control method. Meanwhile, we succeed in solving the problem about how much coupling strength should be applied to ensure the synchronization of the fraetionla order complex networks. Therefore, compared with the existing results, the synchronization method in this paper is more general and convenient. This result extends the synchronization condition of the real-variable dynamical networks to the complex-valued field, which makes our research more praetical. Finally, two simulation examples show that the derived theoretical results are valid and the proposed adaptive pinning method is effective.

关键词： complex-variable fractional order complex networks synchronization adaptive pinning control

Optimal 1 → M phase-covariant cloning in three dimensions

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Chinese physics B 2014年第7期23卷 269-273页

作者：张文海余龙宝曹卓良叶柳 Department of physics Huainan Normal University school of Electronic and Information Engineering Hefei Normal University school of physics and material science Anhui University

In this paper, we derive the explicit transformations of the optimal 1→3, 4, 5 phase-covariant cloning in three dimensions, and then generalize them to the cases of 1 → M = 3n, 3n ＋ 1, 3n ＋ 2 （n ≥ 1 integer） cl... 详细信息

关键词： quantum cloning universal quantum cloning phase-covariant cloning

The relativistic bound states for a new ring-shaped harmonic oscillator

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Chinese physics B 2008年第2期17卷 380-384页

作者：周燕郭建友 Department of physics Anhui Radio and Television University school of physics and material science Anhui University

In this paper a new ring-shaped harmonic oscillator for spin 1/2 particles is studied, and the corresponding eigenfunctions and eigenenergies are obtained by solving the Dirac equation with equal mixture of vector and scalar potentials. Several particular cases such as the ring-shaped non-spherical harmonic oscillator, the ring-shaped harmonic oscillator, non-spherical harmonic oscillator, and spherical harmonic oscillator are also discussed.

关键词： new ring-shaped harmonic oscillator bound state Dirac equation

An Improved Heterogeneous Mean-Field Theory for the Ising Model on Complex Networks

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Communications in Theoretical physics 2019年第12期71卷 1475-1479页

作者： Feng Huang Han-Shuang Chen school of Mathematics and physics Anhui Jianzhu UniversityHefei 230601China school of physics and materials science Anhui UniversityHefei 230601China

Heterogeneous mean-field theory is commonly used methodology to study dynamical processes on complex networks,such as epidemic spreading and phase transitions in spin *** this paper,we propose an improved heterogeneous mean-field theory for studying the Ising model on complex *** method shows a more accurate prediction in the critical temperature of the Ising model than the previous heterogeneous mean-field *** theoretical results are validated by extensive Monte Carlo simulations in various types of networks.

关键词： heterogeneous mean field theory Ising model phase transition

Theoretical Study on Mechanism of Reaction of OH with HO2NO2

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Chinese Journal of Chemical physics 2008年第1期21卷 32-38页

作者： Yan Tian Tian-jing He Li He Fan-chen Liu Dong-ming Chen Department of Chemical physics University of Science and Technology of China Hefei 230026 China Department of Electronic science and Technology University of Science and Technology of ChinaHefei 230025 China school of science Anhui Agricultural University Hefei 230036 China

The reaction of HO2NO2 （peroxynitric acid, PNA） with OH was studied by the hybrid density functional B3LYP and CBS-QB3 methods. Based on the calculated potential energy surface, five reaction channels, H20＋NO2＋O2, HOOH＋NO3, NO2＋HO3H, HO2＋HONO2 and HO2＋HOONO, were examined in detail. The major reaction channel is PNA＋OH→M1→TS1→H2O＋NO2＋O2. Taking a pre-equilibrium approximation and using the CBS-QB3 energies, the theoretical rate constant of this channel was calculated as 1.13×10-12 cm^3/（molecule s） at 300 K, in agreement with the experimental result. Comparison between reactions of HOONO2＋OH and HONO2＋OH was carried out. For HOR＋OH reactions, the total rate constants increase from R=NO2 to R=ONO2, which is consistent with experimental measurements.

关键词： Reaction Peroxynitric acid ab initio calculation Rate constant

Time-Dependent Evolution of Two Coupled Luttinger Models of Spin-1/2 Fermions

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Communications in Theoretical physics 2009年第6期51卷 1139-1142页

作者： ZHOU Zong-Li LOU Ping school of physics and material science Anhni University Hefei 230039 China Department of Chemistry Sungkyunkwan University Suwon 440-746 Korea

Based on the field-theoretical bosonization we consider the spinful system consisting of two disconnected Luttinger liquids, which are coupled at time t = 0 through chiral density-density interactions. We show the wellknown spin-charge separation in this 1D system by means of bosonization and Bogoliubov transformation. To evaluate analytically the one-particle equal-time correlation functions, Cazalilla＇s methods are extended to spin-charge sectors. It is found that in long time limit the behavior of correlations does not coincide with that of equilibrium equal-time correlations of two coupled spinful Luttinger liquids. In order to compare with experimental results, the improved exponent that governs the power-law behavior of equal-time correlations of the non-equilibrium system is obtained at the end of this work.

关键词： spin-dependence interaction quench bosonization critical exponents

A mechanism for enhanced photocatalytic activity of nano-size silver particle modified titanium dioxide thin films

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science china(Technological sciences) 2010年第11期53卷 3027-3032页

作者： MENG FanMing LU Fei SUN ZhaoQi LüJianGuo school of physics and materials science Anhui UniversityHefei 230039China Key Laboratory of materials Modification by Laser Ion and Electron Beams(Dalian University of Technology)Ministry of EducationDalian 116024China anhui Key Laboratory of Information materials and Devices Anhui UniversityHefei 230039China Department of physics and Electronic Engineering Hefei Normal UniversityHefei 230061China

Ag-TiO2 nanostructured thin films with silver volume fraction of 0–20% were deposited on silicon and quartz substrates by RF magnetron sputtering and annealed in ambient air at 950°C for 1 h. The phase structure and surface topography of the films were characterized by X-ray diffractometer and transmission electron microscope. Photocatalytic activity of the films was evaluated by light induced degradation of methyl orange (C14H14N3NaO3S) solution using a high pressure mercury lamp as lamp-house. The relation of photocatalytic activity and silver content was studied in detail. It was found that silver content influences phase structure of TiO2 thin films, and silver in the films is metallic Ag (Ag0). With increasing silver content from 0 to 20 vol%, photocatalytic activity of the films increases first and then decreases. A suitable amount (2.5–5 vol%) silver addition can significantly enhance the photocatalytic activity of TiO2 films. The enhanced photocatalytic activity was mainly attributed to the extension of visible light absorption region of the films, the presence of anatase phase, the increase of oxy-gen anion radicals O2? and reactive center of surface Ti3+, and the better separation between electrons and holes on the films surface.

关键词： silver nanoparticle TiO2 thin film photocatalytic activity RF magnetron sputtering methyl orange