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Improvement on the topological localized interface enabled by chiral symmetry

Photonics Research 2023年第9期11卷 1517-1523页

作者： JINGXUAN CHEN MINGJIN WANG TING FU YUFEI WANG XUEYOU WANG YINGQIU DAI ZIYUAN LIAO HAIYANG JI WANHUA ZHENG Laboratory of Solid State Optoelectronics Information Technology Institute of SemiconductorsChinese Academy of SciencesBeijing 100083China Center of Materials Science and Optoelectronics Engineering University of Chinese Academy of SciencesBeijing 100049China State Key Laboratory on Integrated Optoelectronics Institute of SemiconductorsChinese Academy of SciencesBeijing 100083China College of Future Technology University of Chinese Academy of SciencesBeijing 101408China Weifang Academy of Advanced Opto-Electronic Circuits Weifang 261021China

Zero-energy topological states,which are protected by chiral symmetry against certain perturbations topologically,localize at interfaces between trivial and non-trivial phases in the Su–Schrieffer–Heeger(SSH)chain ***,we propose and demonstrate a method to manipulate chiral symmetry itself to improve the localized interfaces and enlarge the mode volume of topological states in the SSH model,thus optimizing the lasing performance of localized *** multiple defects corresponding to off-diagonal perturbations in an eigenmatrix are introduced,the topological state expands and extends to extra defects at the topological interface without breaking chiral *** apply the proposed method in electrical pumping semiconductor laser arrays to verify our theoretical prediction and optimize the output characteristics of the *** measured results of the proposed multi-defect SSH laser array show that the output power has been increased by 27%,and the series resistance and far-field divergence have been reduced by half compared to the traditional SSH laser array,establishing a high-performance light source for integrated silicon photonics,infrared light detection and ranging,and so *** work demonstrates that the proposed method is capable of improving topological localized interfaces and redistributing zero-energy topological ***,our method can be applied to other platforms and inspire optimizations of more devices in broader areas.

关键词： pumping symmetry interface

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Splitting of Degenerate Superatomic Molecular Orbitals Determined by Point Group symmetry

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Chinese Physics Letters 2023年第11期40卷 1-5页

作者：王瑞李佳芮刘中华万晨曦王志刚 Institute of Atomic and Molecular Physics Jilin UniversityChangchun 130012China Key Laboratory of Material Simulation Methods&Software of Ministry of Education College of PhysicsJilin UniversityChangchun 130012China Institute of Theoretical Chemistry College of ChemistryJilin UniversityChangchun 130023China

We first confirm an idea obtained from first-principles calculations,which is in line with symmetry theory:Although superatomic molecular orbitals(SAMOs) can be classified according to their angular momentum similar to atomic orbitals,SAMOs with the same angular momentum split due to the point group symmetry of *** on this idea,we develop a method to quantitatively modulate the splitting spacing of molecular orbitals in a superatom by changing its structural symmetry or by altering geometric parameters with the same symmetry through expansion and compression ***,the modulation of the position crossover is achieved between the lowest unoccupied molecular orbital and the highest occupied molecular orbital originating from the splitting of different angular momenta,leading to an effective reduction in system *** phenomenon is in line with the implication of the Jahn–Teller *** work provides insights into understanding and regulating the electronic structures of superatoms.

关键词： effect symmetry angular

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THE ASYMPTOTIC BEHAVIOR AND symmetry OF POSITIVE SOLUTIONS TO p-LAPLACIAN EQUATIONS IN A HALF-SPACE

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Acta Mathematica Scientia 2022年第5期42卷 2149-2164页

作者： Yujuan CHEN Lei WEI Yimin ZHANG School of Science Nantong UniversityNantong 226007China School of Mathematics and Statistics Jiangsu Normal UniversityXuzhou 221116China Center for Mathematical Sciences Wuhan University of TechnologyWuhan 430070China

We study a nonlinear equation in the half-space with a Hardy potential,specifically,−Δ_(p)u=λu^(p−1)x_(1)^(p)−x_(1)^(θ)f(u)in T,where Δp stands for the p-Laplacian operator defined by Δ_(p)u=div(∣Δu∣^(p−2)Δu),p>1,θ>−p,and T is a half-space{x_(1)>0}.When λ>Θ(where Θ is the Hardy constant),we show that under suitable conditions on f andθ,the equation has a unique positive ***,the exact behavior of the unique positive solution as x_(1)→0^(+),and the symmetric property of the positive solution are obtained.

关键词： p-Lapacian Hardy potential symmetry uniqueness asymptotic behavior

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Breaking the symmetry of polarizers

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Journal of Semiconductors 2022年第5期43卷 13-14页

作者： Chengwei Qiu Department of Electrical and Computer Engineering National University of SingaporeSingapore 117583Singapore

In recent years, the properties of parity-time(PT) symmetric system are revealed to realize plenty of counterintuitive phenomena[1]. In particular, encircling the exceptional point(EP) in a PT symmetric system for asy... 详细信息

关键词： symmetry system symmetric

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A symmetry concept and significance of fringe patterns as a direct diagnostic tool in artwork conservation

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Light(Advanced Manufacturing) 2022年第2期3卷 58-79页

作者： Vivi Tornari Institute of Electronic Structure and Laser/Foundation for Research and Technology-Hellas Nikolaou Plastira 100VoutesHeraklionCreteGreece

Previous collaborative studies have shown the main fringe patterns and their typical classification with regard to ***,the complexity of the results prevents defect detection automation based on a fringe pattern classification *** use of fringe patterns for the structural diagnosis of artwork is important for conveying crucial detailed information and dense data sources that are unmatched compared to those obtained using other conventional or modern *** interferometry fringe patterns uniquely reveal existing and potential structural conditions independent of object shape,surface complexity,material inhomogeneity,multilayered and mixed media structures,without requiring contact and interaction with the precious ***,introducing a concept that from one hand allows fringe patterns to be considered as a powerful standalone physical tool for direct structural condition evaluation with a focus on artwork conservators'need for structural diagnosis while sets a conceptual basis for defect detection automation is *** aim intensifies when the particularities of ethics and safety in the field of art conservation are *** are ways to obtain the advantages of fringe patterns even when specialized software and advanced analysis algorithms fail to convey usable *** treating the features of fringe patterns through step-wise reasoning provides direct diagnosis while formulates the knowledge basis to automate defect isolation and identification procedures for machine learning and artificial intelligence(AI)*** transfer of understanding of the significance of fringe patterns through logical steps to an AI system is this work's ultimate technical *** on topic is ongoing.

关键词： Holography Holographic interferometry Speckle interferometry Fringe patterns Artwork Cultural heritage Heritage science symmetry

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symmetry IN WORLD TRADE NETWORK

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Journal of Systems Science & Complexity 2009年第2期22卷 280-290页

作者： Hui WANG Guangle YAN Yanghua XIAO Business School University of Shanghai for Science and Technology Shanghai 200093 China. Department of Computing and Information Technology Fudan University Shanghai 200433 China.

ymmetry of the world trade network provides a novel perspective to understand the world-wide trading system. However, symmetry in the world trade network （WTN） has been rarely studied so far. In this paper, the authors systematically explore the symmetry in WTN. The authors construct WTN in 2005 and explore the size and structure of its automorphism group, through which the authors find that WTN is symmetric, particularly, locally symmetric to a certain degree. Furthermore, the authors work out the symmetric motifs of WTN and investigate the structure and function of the symmetric motifs, coming to the conclusion that local symmetry will have great effect on the stability of the WTN and that continuous symmetry-breakings will generate complexity and diversity of the trade network. Finally, utilizing the local symmetry of the network, the authors work out the quotient of WTN, which is the structural skeleton dominating stability and evolution of WTN.

关键词： Automorphism group network quotients symmetry world trade network.

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symmetry-Protected Scattering in Non-Hermitian Linear Systems

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Chinese Physics Letters 2021年第2期38卷 29-35页

作者： L.Jin Z.Song School of Physics Nankai UniversityTianjin 300071China

symmetry plays fundamental role in physics and the nature of symmetry changes in non-Hermitian *** the symmetry-protected scattering in non-Hermitian linear systems is investigated by employing the discrete symmetries that classify the random *** even-parity symmetries impose strict constraints on the scattering coefficients:the time-reversal(C and K) symmetries protect the symmetric transmission or reflection;the pseudo-Hermiticity(Q symmetry) or the inversion(P) symmetry protects the symmetric transmission and *** the inversion-combined time-reversal symmetries,the symmetric features on the transmission and reflection *** odd-parity symmetries including the particle-hole symmetry,chiral symmetry,and sublattice symmetry cannot ensure the scattering to be *** guiding principles are valid for both Hermitian and non-Hermitian linear *** findings provide fundamental insights into symmetry and scattering ranging from condensed matter physics to quantum physics and optics.

关键词： symmetry symmetric parity

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symmetry-Assisted Protection and Compensation of Hidden Spin Polarization in Centrosymmetric Systems

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Chinese Physics Letters 2020年第8期37卷 94-100页

作者： Yingjie Zhang Pengfei Liu Hongyi Sun Shixuan Zhao Hu Xu Qihang liu Shenzhen Institute for Quantum Science and Technology and Department of Physics Southern University of Science and TechnologyShenzhen 518055China Guangdong Provincial Key Laboratory for Computational Science and Material Design Southern University of Science and TechnologyShenzhen 518055China Center for Quantum Computing Peng Cheng LaboratoryShenzhen 518055China

It was recently noted that in certain nonmagnetic centrosymmetric compounds,spin–orbit interactions couple each local sector that lacks inversion symmetry,leading to visible spin polarization effects in the real space,dubbed“hidden spin polarization(HSP)”.However,observable spin polarization of a given local sector suffers interference from its inversion partner,impeding material realization and potential applications of *** from a single-orbital tight-binding model,we propose a nontrivial way to obtain strong sector-projected spin texture through the vanishing hybridization between inversion partners protected by nonsymmorphic *** HSP effect is generally compensated by inversion partners near the Г point but immune from the hopping effect around the boundary of the Brillouin *** further summarize 17 layer groups that support such symmetry-assisted HSP and identify hundreds of quasi-2D materials from the existing databases by first-principle calculations,among which a group of rare-earth compounds LnIO(Ln=Pr,Nd,Ho,Tm,and Lu)serves as great candidates showing strong Rashba-and Dresselhaus-type *** findings expand the material pool for potential spintronic applications and shed light on controlling HSP properties for emergent quantum phenomena.

关键词： symmetry Polarization hundreds

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symmetry selective directionality in near-field acoustics

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National Science Review 2020年第6期7卷 1024-1035页

作者： Yang Long Hao Ge Danmei Zhang Xiangyuan Xu Jie Ren Ming-Hui Lu Ming Bao Hong Chen Yan-Feng Chen Center for Phononics and Thermal Energy Science China-EU Joint Center for Nanophononics Shanghai Key Laboratory of Special Artificial Microstructure Materials and Technology School of Physics Sciences and Engineering Tongji University Department of Materials Science and Engineering College of Engineering and Applied Sciences and National Laboratory of Solid State Microstructures Nanjing University Key Laboratory of Noise and Vibration Research Institute of Acoustics Chinese Academy of Sciences Collaborative Innovation Center of Advanced Microstructures Nanjing University Key Laboratory of Noise and Vibration Research Institute of Acoustics Chinese Academy of Sciences Beijing 100190 China and4Collaborative Innovation Center of Advanced Microstructures Nanjing University

Understanding unidirectional and topological wave phenomena requires the unveiling of intrinsic geometry and symmetry for wave dynamics. This is essential yet challenging for the flexible control of near-field evanescent waves, highly desirable in broad practical scenarios ranging from information communication to energy radiation. However, exploitations of near-field waves are limited by a lack of fundamental understanding about inherent near-field symmetry and directional coupling at sub-wavelengths, especially for longitudinal waves. Here, based on the acoustic wave platform, we show the efficient selective couplings enabled by near-field symmetry properties. Based on the inherent symmetry properties of three geometrically orthogonal vectors in near-field acoustics, we successfully realize acoustic Janus, Huygens,spin sources and quadrupole hybrid sources, respectively. Moreover, we experimentally demonstrate fertile symmetry selective directionality of those evanescent modes, supported by two opposite meta-surfaces. The symmetry properties of the near-field acoustic spin angular momenta are revealed by directly measuring local vectorial fields. Our findings advance the understanding of symmetries in near-field physics, supply feasible approaches for directional couplings, and pave the way for promising acoustic devices in the future.

关键词： acoustics near field symmetry

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symmetry and general symmetry groups of the coupled Kadomtsev-Petviashvili equation

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Chinese Physics B 2009年第6期18卷 2109-2114页

作者：王佳李彪 Nonlinear Science Center and Department of Mathematics Ningbo University MM Key Laboratory Chinese Academy of Sciences

In this paper, the Lie symmetry algebra of the coupled Kadomtsev-Petviashvili （cKP） equation is obtained by the classical Lie group method and this algebra is shown to have a Kac-Moody-Virasoro loop algebra structure. Then the general symmetry groups of the cKP equation is also obtained by the symmetry group direct method which is proposed by Lou et alo From the general symmetry groups, the Lie symmetry group can be recovered and a group of discrete transformations can be derived simultaneously. Lastly, from a known simple solution of the cKP equation, we can easily obtain two new solutions by the general symmetry groups.

关键词： symmetry general symmetry groups coupled KP equation

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