HAMILTONIANS

作品数：34被引量：18H指数：2
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相关领域：理学更多>>
相关作者：牛玺娟更多>>
相关机构：西北师范大学更多>>
相关期刊：《Science China Mathematics》《Communications in Theoretical Physics》《Chinese Physics B》《Frontiers of physics》更多>>
相关基金：国家自然科学基金北京市自然科学基金上海市自然科学基金国家教育部博士点基金更多>>
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THE HAUSDORFF DIMENSION OF THE SPECTRUM OF A CLASS OF GENERALIZED THUE-MORSE HAMILTONIANS
《Acta Mathematica Scientia》2023年第5期1997-2004,共8页刘庆晖 唐志毅 
supported by the National Natural ScienceFoundation of China(11871098)。
Letτbe a generalized Thue-Morse substitution on a two-letter alphabet{a,b}:τ(a)=ambm,τ(b)=bmam for the integer m≥2.Letξbe a sequence in{a,b}Z that is generated byτ.We study the one-dimensional Schr?dinger operat...
关键词：one-dimensional Schrodinger operator generalized Thue-Morse sequence Hausdorff dimension 
Projectability disentanglement for accurate and automated electronic-structure Hamiltonians被引量：2
《npj Computational Materials》2023年第1期215-228,共14页Junfeng Qiao Giovanni Pizzi Nicola Marzari 
We acknowledge financial support from the NCCR MARVEL(a National Centre of Competence in Research,funded by the Swiss National Science Foundation,grant No.205602);the Swiss National Science Foundation(SNSF)Project Funding(grant 200021E_206190“FISH4DIET”);The work is also supported by a pilot access grant from the Swiss National Supercomputing Centre(CSCS)on the Swiss share of the LUMI system under project ID“PILOT MC EPFL-NM 01”,a CHRONOS grant from the CSCS on the Swiss share of the LUMI system under project ID“REGULAR MC EPFL-NM 02”,and a grant from the CSCS under project ID s0178.
Maximally-localized Wannier functions(MLWFs)are broadly used to characterize the electronic structure of materials.Generally,one can construct MLWFs describing isolated bands(e.g.valence bands of insulators)or entangl...
关键词：BANDS HAMILTONIAN ELECTRONIC 
Transferable equivariant graph neural networks for the Hamiltonians of molecules and solids被引量：2
《npj Computational Materials》2023年第1期446-458,共13页Yang Zhong Hongyu Yu Mao Su Xingao Gong Hongjun Xiang 
We thank Dr.Hongli Guo for providing the structure of the Moirésuperlattice of bilayer MoS2.We acknowledge financial support from the Ministry of Science and Technology of the People´s Republic of China(No.2022YFA1402901);NSFC(grants No.11825403,11991061,12188101);the Guangdong Major Project of the Basic and Applied Basic Research(Future functional materials under extreme conditions-2021B0301030005).
This work presents an E(3)equivariant graph neural network called HamGNN,which can fit the electronic Hamiltonian matrix of molecules and solids by a complete data-driven method.Unlike invariant models that achieve eq...
关键词：HAMILTONIAN SOLIDS ISOMERS 
About Quantum Mechanics without Hamiltonians
《Journal of Modern Physics》2022年第5期671-681,共11页Gustavo V. López 
An extension of Shrödinger’s quantization on the space (x, p), where the Hamiltonian approach is needed, is made on the space (x, v) where the Hamiltonian approach is not needed at all. The purpose of this paper...
关键词：Quantization in the Space (x v) Mass Positiondepending Shrödinger’s Equation 
Equivariant analytical mapping of first principles Hamiltonians to accurate and transferable materials models被引量：3
《npj Computational Materials》2022年第1期1468-1481,共14页Liwei Zhang Berk Onat Geneviève Dusson Adam McSloy G.Anand Reinhard J.Maurer Christoph Ortner James R.Kermode 
This work was financially supported by a Leverhulme Trust Research Project Grant (RPG-2017-191);the Engineering and Physical Science Research Council (EPSRC) under grant EP/R043612/1;the NOMAD Centre of Excellence (European Commission grant agreement ID 951786);the UKRI Future Leaders Fellowship programme (MR/S016023/1);We acknowledge computational resources provided by the Scientific Computing Research Technology Platform of the University of Warwick,the EPSRC-funded HPC Midlands+ consortium (EP/P020232/1,EP/T022108/1);on ARCHER2 via the UK Car-Parinello consortium (EP/P022065/1).
We propose a scheme to construct predictive models for Hamiltonian matrices in atomic orbital representation from ab initio data as a function of atomic and bond environments.The scheme goes beyond conventional tight ...
关键词：structure HAMILTONIAN ANALYTICAL 
Efficient quantum simulation of open quantum dynamics at various Hamiltonians and spectral densities被引量：2
《Frontiers of physics》2021年第5期47-60,共14页Na-Na Zhang Ming-Jie Tao Wan-Ting He Xin-Yu Chen Xiang-Yu Kong Fu-Guo Deng Neill Lambert Qing Ai 
This work was supported by the National Natural Science Foundation of China under Grant Nos.11674033,11474026,and 11505007;Beijing Natural Science Foundation under Grant No.1202017;N.L.acknowledges partial support from JST PRESTO through Grant No.JPMJPR18GC.
Simulation of open quantum dynamics for various Hamiltonians and spectral densities are ubiquitous for studying various quantum systems.On a quantum computer,only log2N qubits are required for the simulation of an N-d...
关键词：nuclear magnetic resonance quantum simulation open quantum system 
Creating locally interacting Hamiltonians in the synthetic frequency dimension for photons被引量：1
《Photonics Research》2020年第9期I0022-I0028,共7页LUQI YUAN AVIK DUTT MINGPU QIN SHANHUI FAN AND XIANFENG CHEN 
National Natural Science Foundation of China(11974245);National Key Research and Development Program of China(2017YFA0303701,2018YFA0306301);Natural Science Foundation of Shanghai(19ZR1475700);Air Force Office of Scientific Research(FA9550-18-1-0379);Vannevar Bush Faculty Fellowship from the U.S.Department of Defense(N00014-17-1-3030);National Science Foundation(CBET-1641069)。
The recent emerging field of synthetic dimension in photonics offers a variety of opportunities for manipulating different internal degrees of freedom of photons such as the spectrum of light.While nonlinear optical e...
关键词：DIMENSION HAMILTONIAN LOCALLY 
Description of Weakly Bound and Resonant Nuclei with the Gamow Shell Model using Effective and Realistic Hamiltonians
《IMP & HIRFL Annual Report》2019年第1期12-13,共2页N.Michel Zuo Wei Xu Furong Hu Baishan Li Jianguo M.Ploszajczak H.M.Aktulga Y.Jaganathen A.Mercenne 
We investigate the theoretical description of nuclei at drip-lines.For this,the Gamow shell model has been developed to study the properties of weakly bound and resonance nuclei.
关键词：HAMILTONIAN WEAKLY WEAKLY 
Mehler's formula and functional calculus Dedicated to Professor Jean-Yves Chemin on the Occasion of His 60th Birthday
《Science China Mathematics》2019年第6期1143-1166,共24页Nicolas Lerner 
We show that Mehler's formula can be used to handle several formulas involving the quantization of singular Hamiltonians. In particular, we diagonalize in the Hermite basis the Weyl quantization of the characteristic ...
关键词：Mehler’s FORMULA quantization ROUGH HAMILTONIANS 
Quantum Fisher Information Gap for Systems with Nonlinear Hamiltonians
《Communications in Theoretical Physics》2019年第1期43-48,共6页刘博 黄奕筱 王晓光 
Supported by the National Key Research and Development Program of China under Grant Nos.2017YFA0304202 and 2017YFA0205700;the National Natural Science Foundation of China under Grant No.11875231;the Fundamental Research Funds for the Central Universities under Grant No.2018FZA3005;support by the Thirteenth Five-year Planning Project of Jilin Provincial Education Department Foundation under Grant No.JJKH20170650KJ;Natural Science Foundation of Changchun Normal University
Quantum Fisher information(QFI) gap characterizes the stability of QFI to space directions. We study the QFI distributions and QFI gap for quantum states generated from nonlinear Hamiltonians for both spin and bosonic...
关键词：quantum Fisher information quantum metrology nonlinear Hamiltonians 
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