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Exact Solution of a Non-Hermitian Generalized Rabi Model

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Chinese Physics Letters 2021年第8期38卷 7-10页

作者： Yusong cao Junpeng cao Beijing National Laboratory for Condensed Matter Physics Institute of PhysicsChinese Academy of SciencesBeijing 100190China School of Physical Sciences University of Chinese Academy of SciencesBeijing 100049China Songshan Lake Materials Laboratory Dongguan 523808China Peng Huanwu Center for Fundamental Theory Xian 710127China

An integrable non-Hermitian generalized Rabi model is constructed.A twist matrix is introduced to the construction of Hamiltonian and generates the non-Hermitian *** Yang-Baxter integrability of the system is *** exact energy spectrum and eigenstates are obtained using the Bethe *** method given in this study provides a general way to construct integrable spin-boson models.

关键词： properties integrable Hamiltonian

Preparation mechanism,physical characteristic and antitumor activity of nano-scheelite

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International Journal of Minerals,Metallurgy and Materials 2009年第4期16卷 468-474页

作者： Lin cao Fu-qiang Yang Jie-xin cao School of Materials Science and Engineering University of Science and Technology Beijing Beijing 100083 China Peking University Health Science Center Beijing 100083 China

After preparing the EU^3＋-doped scheelite nano-material by Pechini method with the nanoparticles of 30-50 nm in diameter, X-ray diffraction （XRD）, transmission electron microscopy （TEM） and high resolution transmission electron microscopy （HRTEM） were used to show a microcosmic description of the particle morphology and crystal structure. The spectrum signature of the nano-scheelite, which was taken by fluorescence spectrometer, was used to discuss the difference of luminescent performance between the nano-scheelite and bulk scheelite. The atomic site of the nano-scheelite was intuitively shown through HRTEM images and HRTEM simulated images from the relation between luminescent properties and crystal structure, which was analyzed by spectrum probe. The results of antitumor activity examined by the 3-（4,5-dimethylthiazol-2-yl）-2,5-diphenyltetrazolium bromide （MTT） method show that the inhibition of human promyelocytic leukemia cell line （HL60） is enhanced immediately with increasing the concentration and presents a reliance on the quantity. The results of fluorescence spectra and structure show that the antitumor activity has something to do with micro-structure and surface charge.

关键词： scheelite fluorescence spectrum atomic site anti-tumor activity

Two-dimensional gersiloxenes with tunable band gap as new photocatalysts

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Rare Metals 2020年第6期39卷 610-612页

作者： Shao-Wen cao State Key Laboratory of Advanced Technology for Materials Synthesis and Processing Wuhan University of TechnologyWuhan 430070China

Designing highly efficient and stable photocatalysts is of vital importance for solar-to-fuel conversion,as a potential strategy to address the concerns of global energy crisis and environmental *** development of novel photocatalytic materials is desirable to overcome those shortcomings of traditional semiconductor photocatalysts.

关键词： catalysts overcome shortcomings

Experimental Observing Damage Evolution in Cement Pastes Exposed to External Sulfate Attack by in situ X-ray Computed Tomography

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Journal of Wuhan University of Technology(Materials Science) 2025年第1期 164-170页

作者：吴敏 cao Kailei XIAO Weirong YU Zetai 曹杰荣 DING Qingjun LI Jinhui China Railway Construction Corporation Harbour and Channel Engineering Bureau Group Co. LTD Construction Headquarters of Zhoushan Liuheng Bridge Phase Ⅱ Project China Railway Construction Bridge Engineering Bureau Group Co. LTD State Key Laboratory of Silicate Material for Architecture (Wuhan University of Technology) College of Materials Science and Engineering Wuhan Textile University

The paper presents experimental investigation results of crack pattern change in cement pastes caused by external sulfate attack （ESA）.To visualize the formation and development of cracks in cement pastes under ESA,an X-ray computed tomography （X-ray CT） was used,i e,the tomography system of Zeiss Xradia 510 *** results indicate that X-CT can monitor the development process and distribution characteristics of the internal cracks of cement pastes under ESA with attack *** addition,the C3A content in the cement significantly affects the damage mode of cement paste specimens during sulfate *** damage of ordinary Portland cement （OPC） pastes subjected to sulfate attack with high C3A content are severe,while the damage of sulfate resistant Portland cement （SRPC） pastes is much smaller than that of OPC ***,a quadratic function describes the correlation between the crack volume fraction and development depth for two cement pastes immermed in sulfate solution.

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Low tensor-train rank with total variation for magnetic resonance imaging reconstruction

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Science China(Technological Sciences) 2021年第9期64卷 1854-1862页

作者： CHEN QiPeng cao JianTing Graduate School of Engineering Saitama Institute of TechnologySaitama 369-0293Japan Tensor Learning Unit RIKEN Center for Advanced Intelligence Project(AIP)Tokyo 351-0198Japan

The model by imposing the low-rank minimization has been proved to be effective for magnetic resonance imaging(MRI) completion. Recent studies have also shown that imposing tensor train(TT) and total variation(TV) constraint on tensor completion can produce impressive performance, and the lower TT-rank minimization constraint can be represented as the guarantee for global constraint, while the total variation as the guarantee for regional constraint. In our solution, a new approach is utilized to solve TT-TV model. In contrast with imposing the alternating linear scheme, nuclear norm regularization on TT-ranks is introduced in our method as it is an effective surrogate for rank optimization and our solution does not need to initialize and update tensor cores. By applying the alternating direction method of multipliers(ADMM), the optimization model is disassembled into some sub-problems, singular value thresholding can be used as the solution to the first sub-problem and soft thresholding can be used as the solution to the second sub-problem. The new optimization algorithm ensures the effectiveness of data recovery. In addition, a new method is introduced to reshape the MRI data to a higher-dimensional tensor, so as to enhance the performance of data completion. Furthermore, the method is compared with some other methods including tensor reconstruction methods and a matrix reconstruction method. It is concluded that the proposed method has a better recovery accuracy than others in MRI data according to the experiment results.

关键词： tensor constraint minimization

Molecular Dynamics Simulations of the Effects of Surface Sinusoidal Nanostructures on Nanoscale Liquid Film Phase-Change

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Journal of Thermal Science 2020年第4期29卷 1076-1084页

作者： cao Qun CUI Zheng Institute of Thermal Science and Technology Shandong UniversityJinan 250061China

Nanostructures on heat transfer surfaces can enhance micro/nanoscale phase-change heat transfer processes. To understand the enhancement mechanisms provided by nanostructures, evaporation processes of nanoscale liquid films on periodic sinusoidal-shaped surfaces were investigated via molecular dynamics simulations. By changing the amplitudes(A) and periods(T) of the curves describing the sinusoidal shapes, which possess shapes similar to f(x)=h0+Asin(2πx/T), sinusoidal surfaces of different sizes were constructed. An unevaporated region always existed on the copper plate for all surfaces during phase-change processes. Moreover, we calculated the interfacial thermal resistances and the mismatches between the vibrational density of states of the solid and liquid for different surfaces. The results show that the argon temperature changes and evaporation rates during the phase-change process on sinusoidal surfaces are higher than those on flat surfaces, and these results increase with the increase in amplitudes and the decrease in periods within certain limits mainly because of the thermal resistance decrease at the solid-liquid interface. Furthermore, the corresponding mismatches between the vibrational density of states of the solid and liquid also decrease, which indicates that the existence of sinusoidal nanostructures enhances the heat transfer of the phase-change process.

关键词： molecular dynamics simulation sinusoidal surface phase-change interfacial thermal resistance nanoscale

Uniqueness Problem for Meromorphic Mappings in Several Complex Variables with Few Hyperplanes

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Acta Mathematica Sinica,English Series 2015年第8期31卷 1327-1338页

作者： Hong Zhe cao Ting Bin cao Department of Mathematics Nanchang University

The purpose of this article is to deal with uniqueness problem with truncated multiplicities for meromorphic mappings in several complex variables. We obtain a degeneracy theorem of meromorphic mappings without taking account of multiplicities of order 〉 k in counting functions and a uniqueness theorem for meromorphic mappings sharing 2n ＋ 2（n ≥ 2） hyperplanes in general position, which improve and extend some earlier work.

关键词： Uniqueness problem meromorphic mappings truncated multiplicities

Celebrate a decade of publishing:ten things in ten years

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Light(Science & Applications) 2022年第4期11卷 444-447页

作者： Jianlin cao Editor-in-Chief Light:Science&ApplicationsState Key Laboratory of Applied OpticsCIOMPCASNo.3888Dongnanhu RoadChangchunChina

It all started on 29th March,2012,the day Light:Science&Applications(LSA)was *** journal was established to promote research in all areas of optics and photonics,including basic,applied,and engineering research and applications,by publishing original articles,reviews,news&views,and perspectives of high quality,interest,and far-reaching *** back on that day,our optics and photonics community may hardly imagine how thrilled every founding member of LSA can be,to see the inaugural papers ***,ten years after its founding,LSA has evolved to be an essential and visible resource for our community.

关键词： founding optics hardly

Parametric Vibration Stability Analysis of a Pyramid Lattice Sandwich Plate Subjected to Pulsatile External Airflow

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Acta Mechanica Solida Sinica 2023年第1期36卷 95-104页

作者： Zhiwei cao Guo Yao School of Mechanical Engineering and Automation Northeastern UniversityShenyang 110819China

Lattice sandwich structures are broadly used in aerospace,navigation,and high-speed rail *** engineering practice,the airflow outside the vehicle or aircraft always exhibits the pulsatile property,which makes the elastic structural components and the external airflow a parametric excitation *** this paper,the parametric vibration stability analysis and dynamic characteristics of a lattice sandwich plate interacting with the pulsatile external airflow are *** equation of motion is derived using Hamilton’s principle and discretized using the assumed mode *** linear potential flow theory is applied to derive the perturbation aerodynamic *** stability of the system is analyzed using the Floquet theory and validated by numerical *** effects of design parameters of the lattice sandwich plate on the stability of the system are *** the simulations and discussions,some practical principles for the optimal design of lattice sandwich structures in the aerodynamic environment are proposed.

关键词： Lattice sandwich structures Pulsatile airflow Parametric excitation Floquet theory