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Review of quantum simulation based on Rydberg many-body system

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Chinese Physics B 2021年第2期30卷 35-44页

作者： Zheng-Yuan Zhang Dong-Sheng Ding Bao-Sen Shi Key Laboratory of Quantum Information University of Science and Technology of ChinaHefei 230026China

Quantum simulation has been developed extensively over the past decades,widely applied to different models to explore dynamics in the quantum *** atoms have strong dipole-dipole interactions and interact with each other over a long distance,which makes it straightforward to build many-body interacting quantum systems to simulate specific ***,neutral atoms are easily manipulated due to their weak *** advantages make Rydberg many-body system an ideal platform to implement quantum *** paper reviews several quantum simulations for different models based on Rydberg many-body systems,including quantum Ising models in one dimension and two dimensions mainly for quantum magnetism,XY model for excitation transport,SSH model for symmetry-protected topological phases,and critical self-organized behaviors in many-body ***,some challenges and promising directions of quantum simulations based on Rydberg many-body system are discussed in this paper.

关键词： many-body quantum simulation Rydberg

A two-density approach to the general many-body problem and a proof of principle for small atoms and molecules

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Frontiers of physics 2019年第2期14卷 89-96页

作者： Thomas Pope Werner Hofer School of Natural and Environmental Sciences Newcastle UniversityNewcastle NE1 7RUUnited Kingdom Institute of Physics & University of Chinese Academy of Sciences Chinese Academy of SciencesBeijing 100190China

An extended electron model fully recovers many of the experimental results of quantum mechanics while it avoids many of the pitfalls and remains generally free of paradoxes. The formulation of the manybody electronic problem here resembles the Kohn Sham formulation of standard density functional theory. However, rather than referring electronic properties to a large set of single electron orbitals, the extended electron model uses only mass density and field components, leading to a substantial increase in computational efficiency. To date, the Hohenberg-Kohn theorems have not been proved for a model of this type, nor has a universal energy functional been presented. In this paper, we address these problems and show that the Hohenberg Kohn theorems do also hold for a density model of this type. We then present a proof^of^concept practical implementation of this method and show that it reproduces the accuracy of more widely used methods on a test-set of small atomic systems, thus paving the way for the development of fast, efficient and accurate codes on this basis.

关键词： many-body condensed matter Hartree-Fock density functional theory extended electrons

many-body-Gravitational Solutions for Galactic Rotational Velocities, Including Possible Negative Mass

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Journal of Modern Physics 2018年第6期9卷 1304-1316页

作者： Antony J. Bourdillon UHRL San Jose CA USA

The necessary derivation of negative mass in dispersion dynamics suggests cosmic applications. The method analyzes functional relationships between particle angular frequency, wave vector, rest mass and electromagnetic or nuclear potential, f(ω, k, m0, V) = 0. A summary of consequential predictions of the dynamics leads to a calculation of ways in which negative mass might influence such phenomena as the rotational velocities that are observed in spiral galaxies. The velocities are found to be not Newtonian in the simple two body approximations for our solar system;but nearly constant with increasing orbital radii. It has moreover been suggested that the motion is due to halo structures of dark matter or dark energy. However, the motion is simply described by many-body gravitation that is transmitted along elastic spiral arms. In this context, we calculate possible effects of negative mass, but without observational confirmation.

关键词： Dispersion Dynamics Negative Mass Velocity Plateau Spiral Galaxy many-body Gravitation

Three-and Four-body Structure of Light Hypernuclei

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原子核物理评论 2009年第S1期26卷 28-33页

作者： E.Hiyama Nishina Center for Accelerator-based Science Institute for Physical and Chemical Research (RIKEN)

Hypernuclear physics has become very exciting owing to new epoch-making experimental data. Recent progress in theoretical and experimental studies of hypernuclei and future developments in this field are discussed.

关键词： hypernuclear physics hyperon-nucleon interaction many-body structure

The calculation of photoionization angular distribution parameter β of atomic Na

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Science China Mathematics 1999年第10期42卷 1081-1088页

作者：刘锦超蒲丰年刘汉奎郭建军程延松杨向东 Institute of Physics Sichuan University Chengdu China Department of Physics University of Virginia Charlottesvill USA Department of Physics Sichuan Normal College Nanchong China Group of Physics Sichuan Industry College Chengdu China

The differential cross sections and angular distribution parameter of the photoionization processes 2p^63s→2p^53skl of atomic Na have been calculated by using many-body perturbation theory. In the calculation, the resonant structure of the excitation process 2s→3p has been included. The electron correlation interaction was analyzed by using the effective diagram method. The summation of specific classes of these diagrams is to an infinite order. The results of calculations are compared with experimental data, which are in good agreement with the experiment.

关键词： angular distribution photoionization many-body perturbation.

Double-excited resonant structure of photoionization

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Science China Mathematics 1997年第7期40卷 738-744页

作者：刘锦超杨向东王宗笠程延松 Institute of Physics Sichuan Union UniversityChengdu 610065China Department of Physics University of VirginiaChariottesvilleVA 22901USA Department of Physios Chongqing UniversityChongqing 630044China

The dominant diagrams were found in double-excited resonant structure of photoionization by using many-body perturbation *** on the characteristics of these diagrams,the couple-equation method was improved,and the summation of specific classes of these diagrams is to an infinite order,and the resonant peaks with the widths are obtained *** doubled-excited resonant structures (2p,3s)→(3p,np),(3p,nf),(3d,nd),(3d,ns) and (4s,ns) of the photoionization processes 2p→ks,kd are *** photoionization with excitation process (2p,3s)→(3p,kp) was included in the *** results of calculations are compared with the experimental data from 38.5 to 46.8 eV photon energies,which are in good agreement with the experiment.

关键词： double-excited resonance photoionization many-body perturbation.

Modeling mechanical behaviors of composites with various ratios of matrixeinclusion properties using movable cellular automaton method

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Defence Technology（防务技术） 2015年第1期11卷 18-34页

作者： A.Yu.SMOLIN E.V.SHILKO S.V.ASTAFUROV I.S.KONOVALENKO S.P.BUYAKOVA S.G.PSAKHIE Institute of Strength Physics and Materials Science SB RAS Tomsk State University Institute of High Technology Physics Tomsk Polytechnic University Skolkovo Institute of Science and Technology

Two classes of composite materials are considered: classical metaleceramic composites with reinforcing hard inclusions as well as hard ceramics matrix with soft gel inclusions. Movable cellular automaton method is used for modeling the mechanical behaviors of such different heterogeneous materials. The method is based on particle approach and may be considered as a kind of discrete element method. The main feature of the method is the use of many-body forces of inter-element interaction within the formalism of simply deformable element approximation. It was shown that the strength of reinforcing particles and the width of particle-binder interphase boundaries had determining influence on the service characteristics of metaleceramic composite. In particular, the increasing of strength of carbide inclusions may lead to significant increase in the strength and ultimate strain of composite material. On the example of porous zirconia ceramics it was shown that the change in the mechanical properties of pore surface leads to the corresponding change in effective elastic modulus and strength limit of the ceramic sample. The less is the pore size, the more is this effect. The increase in the elastic properties of pore surface of ceramics may reduce its fracture energy.

关键词： Composites Metal ceramics Zirconia ceramics Gel Modeling Movable cellular automata many-body interaction

Resonance structure for 4s subshell in photoionization of Mn

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原子与分子物理学报 2004年第2期21卷 195-198页

作者： LUPeng-fei YANGXiang-dong BAIYu-lin LIUJin-chao LIUGang CollegeofNaturalScience BeijingUniversityofPostsandTelecommunicationBeijing100876P.R.China InstituteofAtomicandMolecularPhysics SichuanUniversityChengdu610065P.R.China DepartmentofPhysics YibinUniversityYibin644000P.R.China

It is shown that the 3d5(4X) 4s(5X)of 4s satellites ,except to the coupling between 3d54s(7,5S) and 3p→ 3d transition ,plays a key role on the magnitude of photoionization of 4s cross section .The coupled equation methodis improvedto calculate this resonance by including these channels .The results of calculations are compared with the experimental data from 4 6eV to 5 6eV photon energies,which are in good agreement with the experiment.

关键词： many-body perturbation theory Coupled equation method Resonance structure

Numerical Method for Solving Electromagnetic Scattering Problem by many Small Impedance Bodies

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American Journal of Computational Mathematics 2017年第4期7卷 435-443页

作者： Nhan T. Tran Department of Mathematics Kansas State University Manhattan USA

In this paper, we study electromagnetic (EM) wave scattering problem by many small impedance bodies. A numerical method for solving this problem is presented. The problem is solved under the physical assumptions ka??1, where a is the characteristic size of the bodies and k is the wave number. This problem is solved asymptotically and numerical experiments are provided to illustrate the idea of the method. Error estimate for the asymptotic solution is also discussed.

关键词： Electromagnetic Scattering Integral Equation Boundary Impedance many-body Scattering EM Waves