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Y型四能级原子系统对探测场的吸收和色散 被引量:23
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作者 张丽英 刘正东 《物理学报》 SCIE EI CAS CSCD 北大核心 2005年第8期3641-3645,共5页
运用数值模拟的方法计算了Y型四能级原子系统在弱场条件下对探测场的吸收和色散.结果发现,通过调制能级间附加的外场强度,该系统呈现出电磁感应透明特性,出现增益区并伴有较大负折射率的色散效应.同时还发现,当外加场的拉比频率相位发... 运用数值模拟的方法计算了Y型四能级原子系统在弱场条件下对探测场的吸收和色散.结果发现,通过调制能级间附加的外场强度,该系统呈现出电磁感应透明特性,出现增益区并伴有较大负折射率的色散效应.同时还发现,当外加场的拉比频率相位发生改变时,系统对探测光场的吸收和色散将随之变化. 展开更多
关键词 原子系统 探测场 四能级 吸收 Y型 电磁感应透明 数值模拟 色散效应 负折射率 频率相位 过调制 光场
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SI基本单位与时间计量 被引量:10
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作者 韩雨桐 《计量学报》 CSCD 北大核心 2022年第1期1-6,共6页
讨论了SI“秒”在量子基准中的重要性和坐标时在时空统一及其他物理量基准统一中的作用,以史瓦西场为例说明了“原时”与“坐标时”的关系以及引力场对“原时”的影响,认为时间单位秒的不确定度决定了其他物理量单位的不确定度。只有“... 讨论了SI“秒”在量子基准中的重要性和坐标时在时空统一及其他物理量基准统一中的作用,以史瓦西场为例说明了“原时”与“坐标时”的关系以及引力场对“原时”的影响,认为时间单位秒的不确定度决定了其他物理量单位的不确定度。只有“坐标时”的适用范围是全局的,涉及到大尺度时空的物理量必须用也只能用坐标量进行表征。SI“秒”定义的是一个“原时”秒长,是一个局域物理量,要使用量子基准对大尺度空间的物理量进行量值统一,需要进一步明确“坐标时”与SI“秒”之间的关系。 展开更多
关键词 计量学 量子基准 SI“秒” 原时 坐标时 史瓦西场 相对论效应
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影响半导体量子点生长因素的分析 被引量:7
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作者 杨红波 俞重远 +1 位作者 刘玉敏 黄永箴 《人工晶体学报》 EI CAS CSCD 北大核心 2004年第6期1018-1021,共4页
生长高面密度和尺寸均匀的量子点是半导体量子点实用化的关键。本文在已有研究工作的基础上 ,从材料本身的特性和生长量子点时的外界条件两方面总结了影响量子点生长的各种因素 。
关键词 半导体量子点 有序 尺寸 研究工作 控制量 原理 面密度 实用化
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纠缠双原子对场熵压缩特性的影响 被引量:7
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作者 周明 方家元 +1 位作者 孔凡志 黄春佳 《光学学报》 EI CAS CSCD 北大核心 2007年第2期340-343,共4页
研究了相干态光场与纠缠双原子相互作用系统中场熵的压缩性质,借助于数值计算,讨论了双原子纠缠度及光场强度对场熵压缩的影响。所得结果表明,双原子初态的纠缠度对压缩的持续时间和压缩深度具有决定性的影响。当双原子初始时刻处于最... 研究了相干态光场与纠缠双原子相互作用系统中场熵的压缩性质,借助于数值计算,讨论了双原子纠缠度及光场强度对场熵压缩的影响。所得结果表明,双原子初态的纠缠度对压缩的持续时间和压缩深度具有决定性的影响。当双原子初始时刻处于最大纠缠态时,场熵具有较大的压缩深度和较长的压缩时间。初始光场强度对场熵的压缩深度和压缩时间也具有显著的影响。光场愈弱,场熵的压缩性愈好。 展开更多
关键词 量子光学 纠缠双原子 相干态光场 场熵压缩
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驻波激光场中囚禁离子的线性熵和量子态转移研究 被引量:8
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作者 王平 吴俊芳 +3 位作者 廖庆洪 鄢秋荣 刘晔 郑军 《原子与分子物理学报》 CAS CSCD 北大核心 2016年第6期1069-1076,共8页
运用量子纠缠和线性熵理论,研究了驻波激光场中囚禁离子的线性熵和量子态转移.讨论了相干角、离子的相对位相、离子与驻波激光场之间的耦合强度以及失谐量、Lamb-Dicke参数对离子线性熵的影响.结果表明,在一定的条件下可以实现囚禁离子... 运用量子纠缠和线性熵理论,研究了驻波激光场中囚禁离子的线性熵和量子态转移.讨论了相干角、离子的相对位相、离子与驻波激光场之间的耦合强度以及失谐量、Lamb-Dicke参数对离子线性熵的影响.结果表明,在一定的条件下可以实现囚禁离子的内态到振动态的相干转移,线性熵随时间的演化呈现非周期性的振荡行为.离子线性熵的最大值随着相干角、离子与激光场之间的耦合强度以及失谐量的增大而减小,随着Lamb-Dicke参数的增大而增大.并且可以通过调节驻波激光场来调节离子与驻波激光场之间的耦合强度和失谐量,从而达到对离子线性熵的控制与操纵,理论上提供了一种调控纠缠的方式. 展开更多
关键词 线性熵 量子纠缠 失谐量 激光场
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Quantum entanglement of the binomial field interacting with a cascade three-level atom beyond the rotating wave approximation 被引量:6
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作者 PEN XueZao CONG HongLu +1 位作者 WANG XuWen XIA JianPing 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2011年第9期1625-1630,共6页
In this paper, the quantum entanglement between a single mode binomial field and a cascade three-level atom is calculated mechanically without the rotating wave approximation. The numerical results indicate that the q... In this paper, the quantum entanglement between a single mode binomial field and a cascade three-level atom is calculated mechanically without the rotating wave approximation. The numerical results indicate that the quantum entanglement at the first few periods is reduced notably due to the fact that the atom is initially in the superposition state. With increasing field parameter 17, the period of the entanglement evolution becomes obvious and the quantum decoherence phenomenon emerges in a short time. 展开更多
关键词 binomial state field quantum entanglement field entropy
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Quantum communication and entanglement between two distant atoms via vacuum fields 被引量:5
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作者 郑仕标 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第6期315-318,共4页
This paper proposes an efficient scheme for quantum communication between two atoms trapped in distant cavities which are connected by an optical fibre. During the operation, all the atomic system, the cavity modes an... This paper proposes an efficient scheme for quantum communication between two atoms trapped in distant cavities which are connected by an optical fibre. During the operation, all the atomic system, the cavity modes and the fibre are not excited. The quantum state is mediated by the vacuum fields. The idea can be used to realize quantum entanglement between two distant atoms via vacuum. 展开更多
关键词 quantum communication ENTANGLEMENT vacuum field
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电场对量子阱中自由载流子光辐射线宽的影响 被引量:6
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作者 付方正 《光谱学与光谱分析》 SCIE EI CAS CSCD 北大核心 1999年第6期785-787,共3页
本文对固体中在较大空间范围运动的粒子采用轨道、动量及波包来描述。根据量子力学测不准关系, 粒子的能量测不准公式被导出。公式表明, 电场强烈地散射载流子, 使载流子所处能级大为展宽。应用该公式到P-I-N结构的GaAs/... 本文对固体中在较大空间范围运动的粒子采用轨道、动量及波包来描述。根据量子力学测不准关系, 粒子的能量测不准公式被导出。公式表明, 电场强烈地散射载流子, 使载流子所处能级大为展宽。应用该公式到P-I-N结构的GaAs/GaAlAs 多量子阱中, 理论计算的光辐射线宽与光致荧光实验测得的线宽吻合。 展开更多
关键词 量子阱 电场 光辐射 线宽 自由载流子 光学器件
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磁场对量子阱中弱耦合束缚极化子性质的影响(英文) 被引量:5
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作者 陈伟丽 肖景林 《发光学报》 EI CAS CSCD 北大核心 2007年第2期143-148,共6页
采用线性组合算符及幺正变换方法研究了磁场对量子阱中弱耦合束缚极化子的性质的影响。导出了量子阱中束缚极化子的基态能量与振动频率、库仑束缚势、磁场和阱宽之间的变化关系。同时也讨论了振动频率与库仑束缚势、磁场之间的变化关系... 采用线性组合算符及幺正变换方法研究了磁场对量子阱中弱耦合束缚极化子的性质的影响。导出了量子阱中束缚极化子的基态能量与振动频率、库仑束缚势、磁场和阱宽之间的变化关系。同时也讨论了振动频率与库仑束缚势、磁场之间的变化关系。通过数值计算结果表明:量子阱中束缚极化子的基态能量因振动频率、库仑束缚势、磁场和阱宽的不同而不同,它随振动频率和磁场的增加而增大,随库仑束缚势和阱宽的增大而减小。量子阱中束缚磁极化子的基态能量与振动频率无关,随库仑束缚势和阱宽的增大而减小,随磁场的增大而增大。 展开更多
关键词 量子阱 束缚极化子 基态能量 线性组合算符 磁场
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A New Method for High-Resolution NMR Spectra in Inhomogeneous Fields with Efficient Solvent Suppression 被引量:4
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作者 林美金 陈希 +1 位作者 陈志伟 陈忠 《Chinese Journal of Chemistry》 SCIE CAS CSCD 2007年第6期751-755,共5页
High-resolution nuclear magnetic resonance (NMR) is one of the most powerful tools for analyzing molecular structures and dynamics. Magnetic field homogeneity is required for conventional high-resolution spectra. Ho... High-resolution nuclear magnetic resonance (NMR) is one of the most powerful tools for analyzing molecular structures and dynamics. Magnetic field homogeneity is required for conventional high-resolution spectra. However, there are many chemical and/or biological circumstances where the spatial homogeneities of the magnetic fields are degraded. Intense solvent signal is another obstacle for obtaining high-resolution spectra, especially in in vivo and in situ NMR spectroscopy. In this paper, a new pulse sequence based on intermolecular multiple quantum coherence (iMQC) was reported. This sequence can effectively remove the effect of magnetic field inhomogeneity and suppress the solvent signal. It can recover the spectral information such as chemical shifts, coupling constants, multiplet patterns, and relative peak areas in inhomogeneous fields. Theoretical analyses and experimental verifications are presented to demonstrate the feasibility of this method. 展开更多
关键词 HIGH-RESOLUTION nuclear magnetic resonance inhomogeneous field solvent suppression intermolecular multiple-quantum coherence
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On a Heuristic Viewpoint Concerning the Conversion and Transformation of Sound into Light
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作者 Alessandro Rizzo 《Journal of High Energy Physics, Gravitation and Cosmology》 CAS 2024年第1期363-385,共23页
In the study of Terrestrial Gamma-ray Flashes (TGFs) and Sonoluminescence, we observe parallels with larger cosmic events. Specifically, sonoluminescence involves the rapid collapse of bubbles, which closely resembles... In the study of Terrestrial Gamma-ray Flashes (TGFs) and Sonoluminescence, we observe parallels with larger cosmic events. Specifically, sonoluminescence involves the rapid collapse of bubbles, which closely resembles gravitational collapse in space. This observation suggests the potential formation of low-density quantum black holes. These entities, which might be related to dark matter, are thought to experience a kind of transient evaporation similar to Hawking radiation seen in cosmic black holes. Consequently, sonoluminescence could be a valuable tool for investigating phenomena typically linked to cosmic scale events. Furthermore, the role of the Higgs boson is considered in this context, possibly connecting it to both TGFs and sonoluminescence. This research could enhance our understanding of the quantum mechanics of black holes and their relation to dark matter on Earth. 展开更多
关键词 Planck Mass Gravity LIGHT PHONONS Phononic field Vacuum Hydrodynamics SONOLUMINESCENCE Hawking Radiation quantum Black Holes Theory of General Singularity
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The Unified Field
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作者 Joseph H. (Cass) Forrington 《Journal of Modern Physics》 2024年第7期1010-1035,共26页
This is a Unified Field description based on the holographic Time Dilation Cosmology, TDC, model, which is an eternal continuum evolving forward in the forward direction of time, at the speed of light, c, at an invari... This is a Unified Field description based on the holographic Time Dilation Cosmology, TDC, model, which is an eternal continuum evolving forward in the forward direction of time, at the speed of light, c, at an invariant 1 s/s rate of time. This is the Fundamental Direction of Evolution, FDE. There is also an evolution down time dilation gradients, the Gravitational Direction of Evolution, GDE. These evolutions are gravity, which is the evolutionary force in time. Gravitational velocities are compensation for the difference in the rate of time, dRt, in a dilation field, and the dRtis equal to the compensatory velocity’s percentage of c, and is a measure of the force in time inducing the velocity. In applied force induced velocities, the dRt is a measure of the resistance in time to the induced velocity, which might be called “anti-gravity” or “negative gravity”. The two effects keep the continuum uniformly evolving forward at c. It is demonstrated that gravity is already a part of the electromagnetic field equations in way of the dRt element contained in the TDC velocity formula. Einstein’s energy formula is defined as a velocity formula and a modified version is used for charged elementary particle solutions. A time dilation-based derivation of the Lorentz force ties gravity directly to the electromagnetic field proving the unified field of gravity and the EMF. It is noted how we could possibly create gravity drives. This is followed by a discussion of black holes, proving supermassive objects, like massive black hole singularities, are impossible, and that black holes are massless Magnetospheric Eternally Collapsing Objects (MECOs) that are vortices in spacetime. . 展开更多
关键词 Unified field GRAVITY Anti-Gravity Astrophysics Einstein General Relativity Special Relativity Galactic Rotation Velocities Time Dilation SPACETIME Space Time Spacetime Continuum quantum Continuum MECO Black Hole Event Horizon Timelike Spacelike Lightlike
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Mathematical Wave Functions and 3D Finite Element Modelling of the Electron and Positron
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作者 Declan Traill 《Journal of Applied Mathematics and Physics》 2024年第4期1134-1162,共29页
The wave/particle duality of particles in Physics is well known. Particles have properties that uniquely characterize them from one another, such as mass, charge and spin. Charged particles have associated Electric an... The wave/particle duality of particles in Physics is well known. Particles have properties that uniquely characterize them from one another, such as mass, charge and spin. Charged particles have associated Electric and Magnetic fields. Also, every moving particle has a De Broglie wavelength determined by its mass and velocity. This paper shows that all of these properties of a particle can be derived from a single wave function equation for that particle. Wave functions for the Electron and the Positron are presented and principles are provided that can be used to calculate the wave functions of all the fundamental particles in Physics. Fundamental particles such as electrons and positrons are considered to be point particles in the Standard Model of Physics and are not considered to have a structure. This paper demonstrates that they do indeed have structure and that this structure extends into the space around the particle’s center (in fact, they have infinite extent), but with rapidly diminishing energy density with the distance from that center. The particles are formed from Electromagnetic standing waves, which are stable solutions to the Schrödinger and Classical wave equations. This stable structure therefore accounts for both the wave and particle nature of these particles. In fact, all of their properties such as mass, spin and electric charge, can be accounted for from this structure. These particle properties appear to originate from a single point at the center of the wave function structure, in the same sort of way that the Shell theorem of gravity causes the gravity of a body to appear to all originate from a central point. This paper represents the first two fully characterized fundamental particles, with a complete description of their structure and properties, built up from the underlying Electromagnetic waves that comprise these and all fundamental particles. 展开更多
关键词 ELECTRON POSITRON Wave Function Solution Electromagnetic Spin Mass Charge Proof Fundamental Particle Properties quantum Mechanics Classical Physics Computer 3D Model Schrödinger Equation RMS KLEIN GORDON Electric Magnetic Lorentz Invariant Hertzian Vector Point Potential field Density Phase Flow Attraction REPULSION Shell Theorem Ehrenfest VIRIAL Normalization Harmonic Oscillator
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On the Vacuum Hydrodynamics of Moving Bodies—The Theory of General Singularity
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作者 Alessandro Rizzo 《Journal of High Energy Physics, Gravitation and Cosmology》 CAS 2024年第3期875-905,共31页
The Theory of General Singularity is presented, unifying quantum field theory, general relativity, and the standard model. This theory posits phonons as fundamental excitations in a quantum vacuum, modeled as a Bose-E... The Theory of General Singularity is presented, unifying quantum field theory, general relativity, and the standard model. This theory posits phonons as fundamental excitations in a quantum vacuum, modeled as a Bose-Einstein condensate. Through key equations, the role of phonons as intermediaries between matter, energy, and spacetime geometry is demonstrated. The theory expands Einsteins field equations to differentiate between visible and dark matter, and revises the standard model by incorporating phonons. It addresses dark matter, dark energy, gravity, and phase transitions, while making testable predictions. The theory proposes that singularities, the essence of particles and black holes, are quantum entities ubiquitous in nature, constituting the very essence of elementary particles, seen as micro black holes or quantum fractal structures of spacetime. As the theory is refined with increasing mathematical rigor, it builds upon the foundation of initial physical intuition, connecting the spacetime continuum of general relativity with the hydrodynamics of the quantum vacuum. Inspired by the insights of Tesla and Majorana, who believed that physical intuition justifies the infringement of mathematical rigor in the early stages of theory development, this work aims to advance the understanding of the fundamental laws of the universe and the perception of reality. 展开更多
关键词 Planck Mass GRAVITY Light PHONONS Phononic field Vacuum Hydrodynamics Bose-Einstein Condensate PHONONS quantum Vacuum Unification GRAVITY Dark Matter Dark Energy Theory of General Singularity
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The Origin of Quarks in Quantum Gravity
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作者 Edwin Eugene Klingman 《Journal of Modern Physics》 2024年第8期1229-1245,共17页
A theory of quantum gravity has recently been developed by the author based on the concept that all forces converge to one at the moment of Creation. This primordial field can only interact with itself, as no other fi... A theory of quantum gravity has recently been developed by the author based on the concept that all forces converge to one at the moment of Creation. This primordial field can only interact with itself, as no other field exists, contrasting with the Standard Model of Particle Physics in which each elementary particle is an excitation in its own quantum field. The primordial field theory of quantum gravity has produced a model of a fermion with a mass gap, ½-integral spin, discrete charge, and magnetic moment. The mass gap is based on an existence theorem that is anchored in Yang-Mills, while Calabi-Yau anchors ½-integral spin, with charge and magnetic moment based on duality. Based on N-windings, this work is here extended to encompass fractional charge, with the result applied to quarks, yielding fermion mass and charge in agreement with experiment and novel size correlations and a unique quantum gravity-based ontological understanding of quarks. 展开更多
关键词 DUALITY Calabi-Yau Topology Fermion Charge Primordial field Self-Interaction Equations Yang-Mills Gravity quantum Gravity Ontology of Quarks
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The Effect of Magnetic Field on an Asymmetrical Gaussian Potential Quantum Well Qubit 被引量:5
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作者 蔡春雨 赵翠兰 肖景林 《Communications in Theoretical Physics》 SCIE CAS CSCD 2015年第2期159-162,共4页
Under the influence of an applied magnetic field(MF), the eigenenergies and the eigenfunctions of the ground and the first excited states(GFES) are obtained by using a variational method of the Pekar type(VMPT) in a s... Under the influence of an applied magnetic field(MF), the eigenenergies and the eigenfunctions of the ground and the first excited states(GFES) are obtained by using a variational method of the Pekar type(VMPT) in a strong electron-LO-phonon coupling asymmetrical Gaussian potential quantum well(AGPQW). This AGPQW system may be employed as a two-level qubit. The numerical results have indicated(i) that when the electron situates in the superposition state of the GFES, we obtain the time evolution and the coordinate change of the electron probability density in the AGPQW,(ii) that due to the presence of the asymmetrical potential in the growth direction of the AGPQW, the probability density shows double-peak configuration, whereas there is only one peak if the confinement is a two dimensional symmetric one in the xy plane of the AGPQW,(iii) that the oscillatory period is a decreasing function of the cyclotron frequency of the MF, the height of the AGPQW and the polaron radius,(iv) and that as the range of the confinement potential(RCP) decreases the oscillatory period will decrease firstly and then increase and it will take a minimum when R =-0.234 nm. 展开更多
关键词 asymmetrical Gaussian potential quantum well QUBIT magnetic field probability density
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两个二能级原子与Pólya态光场相互作用系统的量子特性 被引量:5
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作者 李斌 萨楚尔夫 郭彩丽 《激光与光电子学进展》 CSCD 北大核心 2016年第3期225-233,共9页
利用全量子理论,研究了单模Pólya态光场与两个二能级原子之间相互作用系统的粒子布局数反转、第一个原子的线性熵和信息熵随时间的演化,讨论了原子的初态、光场的参数等物理量对系统的粒子布局数反转、线性熵和信息熵压缩的影响。... 利用全量子理论,研究了单模Pólya态光场与两个二能级原子之间相互作用系统的粒子布局数反转、第一个原子的线性熵和信息熵随时间的演化,讨论了原子的初态、光场的参数等物理量对系统的粒子布局数反转、线性熵和信息熵压缩的影响。结果表明:原子处于不同的初态,系统表现出完全不同量子特性;原子处于基态或激发态时,粒子布局数反转振幅比其他态大;随着场参数r的增大,粒子布局数反转的崩塌-复原现象消失;r的增大也会破坏信息熵在一定时域内的压缩效应;光场参数η的增加使得振荡的周期、振幅发生变化;选取适当的原子初态、光场参数,可使系统的量子特性更加显著。 展开更多
关键词 量子光学 布局数反转 Polya态光场 二能级原子 线性熵 信息熵压缩
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Influence of Mg Composition on Optical Properties of Exciton Confinement in Strained Wurtzite ZnO/Mg_x Zn_(1-x) O Cylindrical Quantum Dots 被引量:5
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作者 郑冬梅 王宗箎 《Communications in Theoretical Physics》 SCIE CAS CSCD 2012年第12期915-922,共8页
Based on the effective-mass approximation and variational approach, excitonic optical properties are investigated theoretically in strained wurtzite (WZ) ZnO/MgxZn1-xO cylindrical quantum dots (QDs) for four diffe... Based on the effective-mass approximation and variational approach, excitonic optical properties are investigated theoretically in strained wurtzite (WZ) ZnO/MgxZn1-xO cylindrical quantum dots (QDs) for four different Mg compositions: x = 0.08, 0.14, 0.25, and 0.33, with considering a three-dimensional carrier confinement in QDs and a strong built-in electric field effect due to the piezoelectricity and spontaneous polarization. The ground-state exciton binding energy, the interband emission wavelength, and the radiative lifetime as functions of the QD structural parameters (height and radius) are calculated in detail The computations are performed in the case of finite band offset. Numerical results elucidate that Mg composition has of ZnO/MgxZn1-x 0 QDs. The ground-state exciton a significant influence on the exciton states and optical properties binding energy increases with increasing Mg composition and the increment tendency is more prominent for small height QDs. As Mg composition increases, the interband emission wavelength has a blue-shift if the dot height L 〈 3.5 nm, but the interband emission wavelength has a red-shift when L 〉 3.5 nm. Furthermore, the radiative lifetime increases rapidly with increasing Mg composition if the dot height L 〉 3 nm and the increment tendency is more prominent for large height QDs. The physical reason has been analyzed in depth. 展开更多
关键词 ZnO quantum dot EXCITON built-in electric field emission wavelength radiative lifetime
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高压缩度压缩态光场制备中的模式匹配 被引量:5
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作者 张文慧 杨文海 +2 位作者 史少平 郑耀辉 王雅君 《中国激光》 EI CAS CSCD 北大核心 2017年第11期266-274,共9页
研究了高压缩度压缩态光场制备中高斯光束的空间模式匹配问题。研究结果表明,对于较小的目标腰斑,注入光的腰斑位置和大小的允许偏移范围较小,且模式匹配效率受腰斑位置偏离度的影响大,而对于大腰斑,情况则相反。此外,激光光斑的椭圆率... 研究了高压缩度压缩态光场制备中高斯光束的空间模式匹配问题。研究结果表明,对于较小的目标腰斑,注入光的腰斑位置和大小的允许偏移范围较小,且模式匹配效率受腰斑位置偏离度的影响大,而对于大腰斑,情况则相反。此外,激光光斑的椭圆率和像散、非线性晶体的热效应均会导致模式匹配效率下降。非对称结构的腔型可以扩大与光学参量腔匹配的激光束腰斑位置所允许的偏移范围,更易实现高的模式匹配效率。 展开更多
关键词 量子光学 压缩态光场 光学参量放大器 模式清洁器 模式匹配
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SM4密码算法S盒的量子电路优化 被引量:1
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作者 李强 罗庆斌 +2 位作者 吕轶 郑圆梦 沈济南 《密码学报(中英文)》 CSCD 北大核心 2024年第2期455-465,共11页
S盒是SM4密码算法中的重要非线性组件.首先基于复合域理论,将S盒代数表达式中有限域GF(2^(8))中的运算同构到复合域GF((2^(4))2)中的运算,然后使用NCT门库逐步构建并优化各个运算的量子电路,最后综合出完整的S盒量子电路.为降低Toffoli... S盒是SM4密码算法中的重要非线性组件.首先基于复合域理论,将S盒代数表达式中有限域GF(2^(8))中的运算同构到复合域GF((2^(4))2)中的运算,然后使用NCT门库逐步构建并优化各个运算的量子电路,最后综合出完整的S盒量子电路.为降低Toffoli门的使用量,根据GF(24)中乘法计算的代数表达式,选取使用Toffoli门最少的量子电路.为了降低CNOT门的使用量,主要从三方面优化:一是使用最优的CNOT电路综合出4阶矩阵的量子电路;二是采用置换矩阵法以及优化子电路的方式综合出8阶矩阵的量子电路;三是通过先合并计算再综合的思路优化整个S盒中CNOT门的数量.该S盒量子电路使用Qiskit Aer量子模拟器实现,并验证了其正确性.经量子资源分析,该优化的S盒量子电路一共使用了21个量子比特、10个NOT门、152个CNOT门和34个Toffoli门,电路深度为97.Toffoli门数量、总量子逻辑门数量、电路深度等相比已有结果都有较大减少. 展开更多
关键词 量子电路 SM4 S盒 复合域 优化
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