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Building and characterizing a stylus ion-trap system

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Chinese Physics B 2024年第4期33卷 122-127页

作者：崔太豪魏雅琪李冀袁泉戴双晴李沛东周飞张建奇郑驻军陈亮冯芒 State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics Wuhan Institute of Physics and MathematicsInnovation Academy of Precision Measurement Science and TechnologyChinese Academy of SciencesWuhan 430071China University of the Chinese Academy of Sciences Beijing 100049China Laboratory of Quantum Science and Engineering South China University of TechnologyGuangzhou 510641China Research Center for Quantum Precision Measurement Guangzhou Institute of Industry TechnologyGuangzhou 511458China Department of Physics Zhejiang Normal UniversityJinhua 321004China

Cold trapped ions can be excellent sensors for ultra-precision detection of physical quantities,which strongly depends on the measurement situation at *** stylus ion trap,formed by two concentric cylinders over a ground plane,holds the promise of relatively simple structure and larger solid angle for optical access and fluorescence collection in comparison with the conventional ion *** we report our fabrication and characterization of the first stylus ion trap constructed in China,aiming for studying quantum optics and sensing weak electric fields in the *** have observed the stable confinement of the ion in the trapping potential for more than two hours and measured the heating rate of the trap to be dε/dt=7.10±0.13 meV/s by the Doppler recooling *** work starts a way to building practical quantum sensors with high efficiency of optical collection and with ultimate goal for contributing to future quantum information technology.

关键词： stylus ion trap electric-field noises Doppler recooling method heating rate

二步幂零李群上—类左不变微分算子亚椭圆的充要条件

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应用数学学报 1999年第3期22卷 321-326页

作者：郑驻军段一士中国科学院理论物理研究所兰州大学理论物理研究所兰州730000

本文我们用幂零李群表示的方法，给出了二步幂零李群上一类左不变微分算子是亚椭圆的充要条件．

关键词：幂零李群左不变微分算子亚椭圆充要条件

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2-范畴(R-2-模)中的导出2-函子

中国科学：数学 2011年第11期41卷 1001-1021页

作者：黄芳陈少晗陈伟郑驻军河南大学数学与信息科学学院开封475004 华南理工大学理学院数学系广州510640

本文构造了R-2-模的单射分解,定义了右导出2-函子,并给出它的一个重要性质.

关键词： R-2-模单射分解右导出2-函子

仿射李代数■的顶点算子表示V_Q上的顶点代数结构(英文)

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河南大学学报（自然科学版） 2007年第6期37卷 551-557页

作者：楚彦军程俊芳郑驻军河南大学数学研究所华南理工大学数学科学学院广州510641

根据李代数的表示理论,研究了仿射李代数■的顶点算子表示VQ的顶点算子结构,通过形式级数的计算方法,证明了VQ是一个顶点算子代数.

关键词：顶点代数顶点算子代数顶点算子表示

Heisenberg群上一类半线性方程全局解的存在性

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Chinese Quarterly Journal of Mathematics 2004年第4期19卷 426-435页

作者：郑驻军汪国安卢克平罗学波 CollegeofMathematicsandInformationScience HenanUniversityKaifeng475001China／／Insti-tuteofMathematicsHenanUniversityKaifeng475001China CollegeofMathematicsandInformationScience HenanUniversityKaifeng475001China InformationNetworkCenter HenanUniversityKaifeng475001China InstituteofAppliedMathematics NorthwesternPloytechnicalUniversityXi＇an710072China

Based on the concepts of a generalized critical point and the corresponding generalized P.S. condition introduced by Duong Minh Duc [1], we have proved a new Z2 index theorem and get a result on multiplicity of generalized critical points. Using the result and a quite standard variational method, it is found that the equation -ΔH^nu=|u|^p-1u,x∈H^n has infinite positive solutions. Our approach can also be applied to study more general nonlinear problems.

关键词：解的存在性 Heisenberg群半线性方程全局解