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An approach to calculate Franck-Condon factors involving anharmonic potentials using harmonic oscillator bases 利用谐振子基计算涉及非谐波势的弗兰克-康顿因子的方法
IF 1.2 Q3 Physics and Astronomy Pub Date : 2024-05-08 DOI: 10.1088/2399-6528/ad48d5
Eduardo Alberto Suárez-Pérez, Renato Lemus
In this contribution an approach to calculate Franck-Condon factors (FCFs) is presented. The method is based on the knowledge of the quantum harmonic oscillator system, a familiar system included in any course of quantum mechanics. The advantage of this approach is that it is possible to calculate Franck-Condon factors associated with general potentials based on the knowledge of the harmonic oscillator theory. First the coordinate and momentum representations are introduced. Based on this concept, the discrete variable representation (DVR) is proposed, which allows the Franck-Condon factors to be calculated in a simple form. This method takes advantage of the momentum as generator of translations to include the displacement of the potentials. The calculation of the FCFs is exemplified for transitions involving the ground state X 1Σ+ g and the excited state a 1Πg of the diatomic molecule 14N2.
本文提出了一种计算弗兰克-康顿因子(FCF)的方法。该方法以量子谐振子系统的知识为基础,而谐振子系统是量子力学课程中大家都熟悉的系统。这种方法的优势在于,它可以基于谐振子理论知识计算与一般势相关的弗兰克-康顿因子。首先介绍坐标和动量表示。在此概念基础上,提出了离散变量表示法(DVR),它允许以简单的形式计算 Franck-Condon 因子。这种方法利用动量作为平移发生器的优势,包含了势的位移。以涉及二原子分子 14N2 的基态 X 1Σ+ g 和激发态 a 1Πg 的跃迁为例,说明了弗朗克-康顿因子的计算方法。
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引用次数: 0
Comparison of Optical Trapping wavelengths for Nanoscopic Diamonds containing Nitrogen-Vacancy centers 含有氮空位中心的纳米金刚石的光学捕获波长比较
IF 1.2 Q3 Physics and Astronomy Pub Date : 2024-05-08 DOI: 10.1088/2399-6528/ad48d4
S. Roy, Atanu Ghosh, Muruga Lokesh, Gokul Nalupurackal, Snigdhadev Chakraborty, J. Goswami, V. Bhallamudi, S. Dhomkar, Basudev Roy
In this article, we explore the effect of two different infrared (IR) laser wavelengths on the optical properties of trapped nano-diamonds containing high-density ensembles of nitrogen vacancy (NV) centers. We investigate 975 nm and 1064 nm wavelengths for trapping lasers and find that NV photoluminescence quenching is more prominent for 1064 nm illumination than for 975 nm illumination when simultaneously excited with a 532 nm laser. In order to understand the underlying mechanism, we develop a rate-equation-based model that takes into account various transition probabilities. The model suggests that the findings cannot be explained only by imposing modification of the NV charge-state ratio under varied illumination wavelengths, and, thus, we speculate that the effective ionization and recombination rates associated with NV charge states for the studied samples are highly wavelength-dependent in the probed regime. Importantly, the results demonstrate that 975 nm laser is desirable for optical trapping of NV-diamonds, especially for NV-based sensing applications.
在本文中,我们探讨了两种不同的红外激光波长对含有高密度氮空位(NV)中心的纳米金刚石的光学特性的影响。我们研究了 975 nm 和 1064 nm 波长的捕获激光,发现当同时使用 532 nm 激光激发时,1064 nm 波长的照明比 975 nm 波长的照明更能突出 NV 的光致发光淬灭。为了了解其基本机制,我们开发了一个基于速率方程的模型,其中考虑到了各种转变概率。该模型表明,在不同的照明波长下,不能仅仅通过对 NV 电荷态比率的改变来解释研究结果,因此,我们推测所研究样品中与 NV 电荷态相关的有效电离和重组率在探测机制中高度依赖于波长。重要的是,研究结果表明 975 nm 激光适用于 NV 钻石的光学捕获,尤其适用于基于 NV 的传感应用。
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引用次数: 0
Entanglement entropy of the maximum geminal of the BCS ground state BCS 基本态最大 geminal 的纠缠熵
IF 1.2 Q3 Physics and Astronomy Pub Date : 2024-04-17 DOI: 10.1088/2399-6528/ad3b63
Katsuhiko Higuchi, Itsuki Tanno, Ryo Ito, Masahiko Higuchi
From the viewpoint of the Bose–Einstein condensation (BEC) of the fermion system, the maximum geminal of the second-order reduced density matrix of the superconducting state exactly corresponds to the Cooper pair. In this paper the entanglement entropy (EE) for the maximum geminal of the BCS ground state is evaluated. The EE behaves logarithmically with respect to the number of the maximum geminal. Furthermore, the disappearance point of superconductivity is defined on the basis of the fermion BEC. In the superconducting ground state, almost all electrons in the energy width of the gap parameter near the Fermi level are condensed as a maximum geminal. They suddenly change to normal electrons with a finite gap of the EE at the disappearance point like a first-order phase transition.
从费米子系统玻色-爱因斯坦凝聚(BEC)的角度来看,超导态二阶还原密度矩阵的最大geminal正好对应于库珀对。本文评估了 BCS 基态最大geminal 的纠缠熵(EE)。EE 与最大 geminal 的数量呈对数关系。此外,超导消失点是在费米子 BEC 的基础上定义的。在超导基态中,在费米级附近的间隙参数能宽中,几乎所有电子都凝聚为最大基边。它们在消失点突然转变为具有有限间隙 EE 的普通电子,就像一阶相变一样。
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引用次数: 0
Local resetting in non-conserving zero-range processes with extensive rates 具有广泛速率的非守恒零程过程中的局部重置
IF 1.2 Q3 Physics and Astronomy Pub Date : 2024-04-17 DOI: 10.1088/2399-6528/ad3b62
Pascal Grange
A non-conserving zero-range process with extensive creation, annihilation and hopping rates is subjected to local resetting. The model is formulated on a large, fully-connected network of states. The states are equipped with a (bounded) fitness level: particles are added to each state at a rate proportional to the fitness level of the state. Moreover, particles are annihilated at a constant rate, and hop at a fixed rate to a uniformly-drawn state in the network. This model has been interpreted in terms of population dynamics: the fitness is the reproductive fitness in a haploid population, and the hopping process models mutation. It has also been interpreted as a model of network growth with a fixed set of nodes (in which particles occupying a state are interpreted as links pointing to this state). In the absence of resetting, the model is known to reach a steady state, which in a certain limit may exhibit a condensate at maximum fitness. If the model is subjected to global resetting by annihilating all particles at Poisson-distributed times, there is no condensation in the steady state. If the system is subjected to local resetting, the occupation numbers of each state are reset to zero at independent random times. These times are distributed according to a Poisson process whose rate (the resetting rate) depends on the fitness. We derive the evolution equation satisfied by the probability law of the occupation numbers. We calculate the average occupation numbers in the steady state. The existence of a condensate is found to depend on the local behavior of the resetting rate at maximum fitness: if the resetting rate vanishes at least linearly at high fitness, a condensate appears at maximum fitness in the limit where the sum of the annihilation and hopping rates is equal to the maximum fitness.
非守恒零程过程具有广泛的创造、湮灭和跳跃率,并受到局部重置的影响。该模型是在一个大型、完全连接的状态网络上建立的。这些状态都有一个(有约束的)适应度水平:粒子以与状态适应度水平成正比的速率加入每个状态。此外,粒子以恒定的速率湮灭,并以固定的速率跳转到网络中统一绘制的状态。这个模型被解释为种群动力学模型:适合度是单倍体种群的繁殖适合度,跳跃过程是突变的模型。它也被解释为一个具有固定节点集的网络增长模型(其中占据某一状态的粒子被解释为指向该状态的链接)。众所周知,在没有重置的情况下,该模型会达到一个稳定状态,并在一定限度内表现出最大适合度的凝聚态。如果模型在泊松分布的时间内湮灭所有粒子,从而进行全局重置,稳态中就不会出现凝集。如果系统进行局部重置,则每个状态的占据数都会在独立的随机时间重置为零。这些时间按照泊松过程分布,泊松过程的速率(重置速率)取决于适应度。我们推导出占领数概率规律所满足的演化方程。我们计算了稳定状态下的平均占据数。我们发现凝聚态的存在取决于重置率在最大适合度时的局部行为:如果重置率在高适合度时至少线性消失,那么在湮灭率和跳跃率之和等于最大适合度的极限时,凝聚态就会出现在最大适合度处。
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引用次数: 0
Virtual and bound states in low-energy positron scattering by atoms and molecules via modified effective range theory 通过修正有效范围理论研究原子和分子低能正电子散射中的虚拟态和束缚态
IF 1.2 Q3 Physics and Astronomy Pub Date : 2024-04-17 DOI: 10.1088/2399-6528/ad4001
K. Fedus, Grzegorz Karwasz
Modified effective range theory is applied as a tool to determine bound and virtual state energies in low-energy positron elastic scattering by atoms and molecules. This is achieved by the S-matrix continuation into the complex momentum plane, allowing to identify poles related to shallow energy states. The influence of the long-range polarization potential (~r^-4) on the bound and virtual-state pole positions is analyzed for noble gases and nonpolar molecules such as H2, N2, and CH4. The quantitative relations between the S-matrix poles and the s-wave scattering length accounting for dipole polarization are introduced.
在原子和分子的低能正电子弹性散射中,修正有效范围理论被用作确定束缚态和虚拟态能量的工具。这是通过将 S 矩阵延续到复动量平面来实现的,从而确定了与浅能态相关的极点。针对惰性气体和非极性分子(如 H2、N2 和 CH4),分析了长程极化势 (~r^-4) 对束缚态和虚态极点位置的影响。介绍了 S 矩阵极点与考虑偶极极化的 s 波散射长度之间的定量关系。
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引用次数: 0
Analysis of the weighted conical Radon transform 加权锥形拉顿变换分析
IF 1.2 Q3 Physics and Astronomy Pub Date : 2024-03-27 DOI: 10.1088/2399-6528/ad2b8d
Nguyen Ngoc Duy
In this article, we consider the weighted conical Radon transform—the transform is motivated by Compton camera imaging as well as optical tomography. Our contribution involves introducing new inversion formulas for the weighted conical Radon transform, including explicit formulas and properties associated with convolution frames. Furthermore, we propose reconstruction formulas that solve for variety weighted parameters in the two-dimensional space.
在这篇文章中,我们考虑了加权锥形拉顿变换--康普顿相机成像和光学层析成像都是采用这种变换的原因。我们的贡献在于为加权锥形拉顿变换引入了新的反演公式,包括与卷积帧相关的明确公式和属性。此外,我们还提出了在二维空间中求解各种加权参数的重建公式。
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引用次数: 0
Monolithically integrated multimode interference coupler-based master oscillator power amplifier with dual-wavelength emission around 830 nm 基于多模干扰耦合器的单片集成主振荡器功率放大器,可在 830 纳米附近实现双波长发射
IF 1.2 Q3 Physics and Astronomy Pub Date : 2024-03-26 DOI: 10.1088/2399-6528/ad37ef
A. Müller, J. Koester, L. S. Theurer, Jörg Fricke, H. Wenzel, Andrea C. Knigge, B. Sumpf
A monolithically integrated dual-wavelength multimode interference coupler-based master oscillator power amplifier is presented. It consists of two shallowly etched, laterally separated ridge waveguide laser cavities as master oscillators with individual distributed Bragg reflector gratings as cavity mirrors. A deeply etched coupling section containing S-bend shaped waveguides and a multimode interference coupler is used to couple the laser emission of the master oscillators into a shallowly etched single waveguide serving as power amplifier. Changing the etch depth for the coupling section enables a compact device layout. In addition, increased radiation angles of modes not coupled into the power amplifier help to suppress beam steering, otherwise indicated by laterally separated far-field intensity distributions. The device provides 0.5 W of dual-wavelength emission around 830 nm in individual and common operation. As designed, both emission wavelengths are separated by 0.5 nm with spectral widths below 20 pm, limited by the spectral resolution of the spectrometer. Both peak wavelengths remain within spectral windows of 50 pm within the available power range. This enables full flexibility selecting operating points for applications such as shifted excitation Raman difference spectroscopy and the generation of THz emission by photomixing. The emission wavelengths can additionally be non-continuously tuned by applying a heater current to resistors implemented next to the distributed Bragg reflector gratings. As an example, selected spectral distances of 0.5 nm, 1.0 nm, 1.5 nm, and 2.0 nm are demonstrated. Near field widths of 5 µm and far field angles of 17° result in beam propagation ratios of 1.4 (1/e2) in all operation modes and enable easy beam shaping or optical single-mode fiber coupling.
本文介绍了一种基于单片集成双波长多模干涉耦合器的主振荡器功率放大器。它由两个浅蚀刻、横向分离的脊波导激光腔组成,作为主振荡器,以独立的分布式布拉格反射光栅作为腔镜。深蚀刻耦合部分包含 S 形弯曲波导和多模干涉耦合器,用于将主振荡器的激光发射耦合到作为功率放大器的浅蚀刻单波导中。改变耦合部分的蚀刻深度可实现紧凑的器件布局。此外,增大未耦合到功率放大器的模式的辐射角有助于抑制光束转向,否则,横向分离的远场强度分布就会显示出光束转向。该器件在单独和共同工作时可提供 0.5 W 的 830 nm 左右双波长发射。按照设计,两个发射波长之间的间隔为 0.5 nm,光谱宽度低于 20 pm,这受到光谱仪光谱分辨率的限制。在可用功率范围内,两个峰值波长都保持在 50 pm 的光谱窗口内。这样就能完全灵活地选择操作点,用于偏移激发拉曼差分光谱和通过光混合产生太赫兹发射等应用。此外,还可以通过在分布式布拉格反射光栅旁边的电阻器上施加加热器电流,对发射波长进行非连续调谐。例如,选定的光谱距离为 0.5 纳米、1.0 纳米、1.5 纳米和 2.0 纳米。近场宽度为 5 µm,远场角度为 17°,因此在所有工作模式下,光束传播比均为 1.4 (1/e2),可轻松实现光束整形或单模光纤耦合。
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引用次数: 0
Hollow vortex gaussian beam expressed in terms of cylindrical wave 用圆柱波表示的空心涡高斯波束
IF 1.2 Q3 Physics and Astronomy Pub Date : 2024-03-20 DOI: 10.1088/2399-6528/ad360c
Shiliang Zhong, Jianxin Lin, Jianqi Shen
The electrical field of hollow vortex Gaussian beam (HVGB) with an arbitrary combination of the beam order and topological charge is formulated by using the cylindrical wave spectrum representation (CWSR), which satisfies Maxwell’s equations rigorously and allows to study analytically and numerically the evolution of the beam along its propagation in the source region and the near/far- field regions. It is found that in the source region there exists a sharp and very narrow peak, due to the contribution of evanescent waves when the beam order and the topological charge satisfy specific relations. The effect of the spiral phase plate (SPP) in generating a non-vortex Gaussian beam to a vortex one is explained. Besides, it is found that the divergence of the beam is mainly determined by the topological charge and the hollow structure is mainly determined by the beam order.
利用圆柱波谱表示法(CWSR)计算了具有任意束序和拓扑电荷组合的空心涡旋高斯束(HVGB)的电场,CWSR 严格满足麦克斯韦方程组的要求,可以对束流在源区和近/远场区的传播过程中的演变进行分析和数值研究。研究发现,当光束阶数和拓扑电荷满足特定关系时,在源区存在一个尖锐且非常窄的峰值,这是由于蒸发波的贡献。还解释了螺旋相板(SPP)在将非涡旋高斯光束生成涡旋光束过程中的作用。此外,研究还发现光束的发散主要由拓扑电荷决定,而空心结构主要由光束阶数决定。
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引用次数: 0
Influence of temperature perturbation on moisture dynamics 温度扰动对水分动力学的影响
IF 1.2 Q3 Physics and Astronomy Pub Date : 2024-03-13 DOI: 10.1088/2399-6528/ad335e
Admasu Abawari, Yitagesu Elfaged
We analyzed the perturbation effect of temperature on the moisture content in the atmosphere,considering the saturation phenomenon. The air parcels of a saturated atmosphere are made of dry air, vapor, cloud, and rain water that flow on a rotating Earth, with a temperature perturbations induced at 9o1′48”N, 38o44′24”E and 6.324km above the Earth’s surface. The fundamental atmospheric parameter of this saturated moist air was treated as temperature-dependent, and the pressure force exerted on it by the precipitation and cloud water is not considered in the numerical computation. In this proposed research, the initial value of wind speed along zonal, meridional, and vertical directions varies with elevation, and the interaction of the atmosphere with the Earth’s surface is not neglected. The result of the investigation revealed that a single tropospheric disturbance of an atmospheric variable is a major factor in the spread of different long period waves patterns (350 hours) and this atmospheric oscillations play a crucial role in transferring energy, momentum, and mass across different parts of the atmosphere, impacting global climate systems.
考虑到饱和现象,我们分析了温度对大气中水分含量的扰动效应。饱和大气的气团由干燥的空气、水汽、云和雨水组成,它们在旋转的地球上流动,在北纬 9o1′48",东经 38o44′24",距地球表面 6.324km 处产生温度扰动。该饱和潮湿空气的基本大气参数被视为与温度有关,数值计算中未考虑降水和云水对其施加的压力。在这项拟议的研究中,沿纵向、经向和垂直方向的风速初始值随海拔高度的变化而变化,并且没有忽略大气与地球表面的相互作用。研究结果表明,大气变量的单一对流层扰动是不同长周期波型(350 小时)传播的主要因素,这种大气振荡在大气不同部分之间传递能量、动量和质量方面发挥着至关重要的作用,对全球气候系统产生影响。
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引用次数: 0
Fast coherent control of nitrogen-14 spins associated with nitrogen-vacancy centers in diamonds using dynamical decoupling 利用动态解耦快速连贯控制钻石中与氮空位中心相关的氮-14 自旋
IF 1.2 Q3 Physics and Astronomy Pub Date : 2024-03-07 DOI: 10.1088/2399-6528/ad2b8b
Kosuke Mizuno, Ikuya Fujisaki, Hiroyoshi Tomioka, Hitoshi Ishiwata, Shinobu Onoda, Takayuki Iwasaki, Keigo Arai, Mutsuko Hatano
A nitrogen-vacancy (NV) center in a diamond enables the access to an electron spin, which is expected to present highly sensitive quantum sensors. Although exploiting a nitrogen nuclear spin improves the sensitivity, manipulating it using a resonant pulse requires a long gate time owing to its small gyromagnetic ratio. Another technique to control nuclear spins is a conditional rotation gate based on dynamical decoupling, which is faster but unavailable for nitrogen spins owing to the lack of transverse hyperfine coupling with the electron spin. In this study, we generated effective transverse coupling by applying a weak off-axis magnetic field. An effective coupling depends on the off-axis field; the conditional rotation gate on the nitrogen-14 spins of an NV center was demonstrated within 4.2 μs under an 1.8% off-axis field and a longitudinal field of approximately 280 mT. We estimated that a population transfer from the electron to nitrogen spins can be implemented with 8.7 μs. Our method is applicable to an ensemble of NV centers, in addition to a single NV center.
金刚石中的氮空位(NV)中心能够获得电子自旋,有望成为高灵敏度的量子传感器。虽然利用氮核自旋可以提高灵敏度,但由于其回旋磁比很小,使用共振脉冲对其进行操纵需要较长的栅极时间。另一种控制核自旋的技术是基于动态解耦的条件旋转门,这种方法速度较快,但由于缺乏与电子自旋的横向超频耦合,氮自旋无法使用。在这项研究中,我们通过施加微弱的离轴磁场产生了有效的横向耦合。有效耦合取决于离轴磁场;在 1.8% 的离轴磁场和大约 280 mT 的纵向磁场下,NV 中心氮-14 自旋的条件旋转门在 4.2 μs 内被证明。我们估计,从电子到氮自旋的种群转移可在 8.7 μs 内完成。除了单个 NV 中心外,我们的方法还适用于 NV 中心的集合。
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引用次数: 0
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