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The extended Adomian decomposition method and its application to the rotating shallow water system for the numerical pulsrodon solutions 扩展阿多米安分解法及其在旋转浅水系统中的应用,用于数值脉动求解
Pub Date : 2024-07-25 DOI: 10.1088/1572-9494/ad674f
Hongli An, Liying Hou, Manwai Yuen
The rotating shallow water system is an important physical model, which has been widely used in many scientific areas, such as fluids, hydrodynamics, geophysics, oceanic and atmospheric dynamics. In this paper, we extend the application of the Adomian decomposition method from the single equation to the coupled system to investigate the numerical solutions of the rotating shallow water system with an underlying circular paraboloidal basin. By introducing some special initial values, we obtain a kind of interesting approximate pulsrodon solutions corresponding to pulsating elliptic warm-core rings, which takes the form of realistic series solutions. Numerical results reveal that the numerical pulsrodon solutions can quickly converge to the exact solutions derived by Rogers and An, which fully shows the efficiency and accuracy of the proposed method. It is pointed out that the method proposed can be effectively used to construct numerical solutions of many nonlinear mathematical physics equations. The results obtained provide some potential theoretical guidances for experts to study the related phenomena in geography, oceanic and atmospheric science.
旋转浅水系统是一个重要的物理模型,已广泛应用于流体、流体力学、地球物理学、海洋和大气动力学等许多科学领域。本文将 Adomian 分解法的应用从单一方程扩展到耦合系统,研究了具有底层圆抛物面盆地的旋转浅水系统的数值解。通过引入一些特殊的初始值,我们得到了一种与脉动椭圆暖核环相对应的有趣的近似脉络解,它采用了现实级数解的形式。数值结果表明,数值脉动解可以快速收敛到 Rogers 和 An 所推导的精确解,这充分显示了所提方法的高效性和精确性。研究指出,所提出的方法可以有效地用于构建许多非线性数学物理方程的数值解。所获得的结果为专家们研究地理、海洋和大气科学中的相关现象提供了一些潜在的理论指导。
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引用次数: 0
Exploring the Impact of Weak Measurements on Exciton-Exciton Interactions 探索弱测量对激子-激子相互作用的影响
Pub Date : 2024-07-23 DOI: 10.1088/1572-9494/ad666b
F. Siyouri, Olivier Giraud, yassine hassouni
In our study of super quantum discord between two excitonic qubits inside a coupled semiconductor quantum dots system, our primary focus is to uncover the impact of weak measurement on its quantum characteristics. To achieve this, we analyze how varying the measurement strength x, affects this super quantum correlation in the presence of thermal effects. Additionally, we assess the effect of this variation on the system’s evolution against its associated quantum parameters; external electric fields, exciton-exciton dipole interaction energy and Förster interaction. Our findings indicate that adjusting x to smaller values effectively enhances super quantum correlation, making weak measurements act as a catalyst. This adjustment ensures its robustness against thermal effects while preserving the non-classical attributes of system. Furthermore, our study unveils that the effect of weak measurements on this latter surpasses the quantum effects associated with the system. Indeed, manipulating the parameter x allows weak measurement to function as a versatile tool for modulating quantum characteristics and controlling exciton-exciton interactions within the coupled semiconductor quantum dots system.
在我们对耦合半导体量子点系统内两个激元量子比特之间的超量子不和的研究中,我们的主要重点是揭示弱测量对其量子特性的影响。为此,我们分析了在存在热效应的情况下,改变测量强度 x 如何影响这种超量子相关性。此外,我们还根据相关量子参数(外部电场、激子-激子偶极相互作用能量和佛斯特相互作用)评估了这种变化对系统演化的影响。我们的研究结果表明,将 x 调整到较小值可有效增强超量子相关性,使弱测量起到催化作用。这种调整在保留系统非经典属性的同时,还确保了其对热效应的稳健性。此外,我们的研究还发现,弱测量对后者的影响超过了与系统相关的量子效应。事实上,操纵参数 x 可以让弱测量成为一种多功能工具,用于调节量子特性和控制耦合半导体量子点系统内的激子-激子相互作用。
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引用次数: 0
Electromagnetic wave scattering in plasma beam driven waveguides under strong magnetic field 强磁场下等离子体束驱动波导中的电磁波散射
Pub Date : 2024-07-23 DOI: 10.1088/1572-9494/ad666d
Shahana Rizvi, Muhammad Afzal
This work analyzes the scattering of electromagnetic wave in a cold and uniform plasma-filled waveguide driven by an intense relativistic plasma beam under a strong magnetic field. The strong interaction of plasma with electromagnetic waves is the cause of its potential use in different types of waveguides. The Helmholtz's equation governs the boundary value problem which is solved by incorporating the mode matching technique. Invoking the boundary and matching conditions and the derived orthogonality and dispersion relations in this scheme gives an exact solution to the scattering problem. The numerical results shed light on the occurrence of reflection and transmission and flow of power. The power flux is plotted against angular frequency and various duct configurations. The solution is substantiated altogether through the befitting analytical and numerical results. The investigation of this structure reveals not only its mathematical but also the physical features.
这项研究分析了在强磁场下,由强相对论等离子体束驱动的冷均匀等离子体填充波导中的电磁波散射。等离子体与电磁波的强烈相互作用是其在不同类型波导中潜在应用的原因。亥姆霍兹方程控制着边界值问题,该问题通过模式匹配技术得以解决。在这一方案中,引用边界和匹配条件以及推导出的正交和色散关系,就能精确解决散射问题。数值结果揭示了反射和透射的发生以及功率流。功率通量与角频率和各种管道配置相关联。通过适当的分析和数值结果,该解决方案得到了证实。对该结构的研究不仅揭示了其数学特征,还揭示了其物理特征。
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引用次数: 0
Eikonal Approximation for Floquet Scattering Floquet 散射的 Eikonal 近似值
Pub Date : 2024-07-19 DOI: 10.1088/1572-9494/ad6550
Yaru Liu, Peng Zhang
The eikonal approximation (EA) is widely used in various high-energy scattering problems. In this work we generalize this approximation from the scattering problems with time-independent Hamiltonian to the ones with periodical Hamiltonians, {it i.e.}, the Floquet scattering problems. We further illustrate the applicability of our generalized EA via the scattering problem with respect to a shaking spherical square-well potential, by comparing the results given by this approximation and the exact ones. The generalized EA we developed is helpful for the research of manipulation of high-energy scattering processes with external field, {it e.g.}, the manipulation of atom, molecule or nuclear collisions or reactions via strong laser fields.
埃可纳近似(EA)被广泛应用于各种高能散射问题。在这项工作中,我们将这种近似从与时间无关的哈密顿散射问题推广到与周期哈密顿有关的问题,{it即},即Floquet散射问题。我们通过比较这种近似方法和精确方法得出的结果,进一步说明了我们的广义 EA 的适用性。我们开发的广义 EA 有助于研究利用外场操纵高能散射过程,{/it e.g.} 例如通过强激光场操纵原子、分子或核碰撞或反应。
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引用次数: 0
High dimensional nonlinear variable separation solutions and novel wave excitations for the (4+1)-dimensional Boiti-Leon-Manna-Pempinelli equation (4+1)-densional Boiti-Leonon-Manna-Pempinelli 方程的高维非线性变量分离解和新型波激励
Pub Date : 2024-07-19 DOI: 10.1088/1572-9494/ad6553
Z. Liang, Xiao-yan Tang, Wei Ding
Considering the importance of higher dimensional equations widely applied to real nonlinear problems, many (4+1)-dimensional integrable systems have been established through uplifting the dimensions of their corresponding lower dimensional integrable equations. Recently, an integrable (4+1)-dimensional extension of the Boiti-Leon-Manna-Pempinelli (4DBLMP) equation has been proposed, which can also be considered as an extension of the famous Korteweg-de Vries equation applicable in fluids, plasma physics, and so on. It is shown that new higher dimensional variable separation solutions with several arbitrary lower dimensional functions can also be obtained by means of the mulitilinear variable separation approach for the 4DBLMP equation. In addition, making advantages of the explicit expressions of the new solutions, versatile (4+1)-dimensional nonlinear wave excitations can be designed. As an illustration, periodic breathing lumps, multi-dromion-ring type instantons, and hybrid waves on a doubly periodic wave background are discovered to reveal abundant nonlinear structures and dynamics in higher dimensions.
考虑到高维方程广泛应用于实际非线性问题的重要性,人们通过提升相应低维可积分方程的维数,建立了许多(4+1)维可积分系统。最近,有人提出了 Boiti-Leon-Manna-Pempinelli (4DBLMP)方程的可积分(4+1)维扩展,它也可以看作是著名的 Korteweg-de Vries 方程的扩展,适用于流体、等离子体物理等领域。研究表明,通过 4DBLMP 方程的多线性变量分离方法,还可以得到具有多个任意低维函数的新的高维变量分离解。此外,利用新解的显式表达,还可以设计出通用的 (4+1)- 维非线性波激励。例如,在双周期波背景上发现了周期性呼吸块、多色子环型瞬子和混合波,揭示了高维度上丰富的非线性结构和动力学。
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引用次数: 0
Casimir Wormholes inspired by Electric Charge in Einstein Gauss-Bonnet gravity 受爱因斯坦高斯-波奈引力中电荷启发的卡西米尔虫洞
Pub Date : 2024-07-17 DOI: 10.1088/1572-9494/ad641d
M. Farooq, M. Zubair, Ali H. Alkhaldi, Akram Ali
This investigation assesses the feasibility of a traversable wormhole (WH) by examining the energy densities associated with charged Casimir phenomena. We focus on the influence of the electromagnetic field created by an electric charge as well as the negative energy density arising from the Casimir source. We have developed different shape functions by defining energy densities from this combination. This paper explores various configurations of Casimir energy densities, specifically those occurring between parallel plates, cylinders, and spheres positioned at a specified distance from each other. Furthermore, the impact of the Generalised Uncertainty Principle (GUP) correction is also examined. The behavior of WH conditions is evaluated based on Gauss-Bonnet (GB) coupled parameter ($mu$) and electric charge ($Q$). Though the electromagnetic energy density constraint (NEC). This is attributed with the fact that the electromagnetic field satisfies the characteristic that is $rho=-p_{r}$. Subsequently, we examined the active gravitational mass (AGM) of the generated WH geometries and explored the behavior of $mu$ and $Q$ concerning active mass. The embedding representations for all formulated shape functions are examined. Investigations of the complexity factor (CF) of CCWH have demonstrated that the values of the CF consistently fall within a particular range in all scenarios. Finally, using the generalized Tolman Oppenheimer Volkoff (TOV) equation, we examine the stability of resulting charged Casimir wormhole (CCWH) solutions.
本研究通过考察与带电卡西米尔现象相关的能量密度,评估了可穿越虫洞(WH)的可行性。我们重点关注电荷产生的电磁场以及卡西米尔源产生的负能量密度的影响。我们通过定义这种组合的能量密度,开发出了不同的形状函数。本文探讨了卡西米尔能量密度的各种配置,特别是平行板、圆柱和球体之间按指定距离放置时的能量密度。此外,本文还研究了广义不确定性原理(GUP)修正的影响。根据高斯-波奈特(GB)耦合参数($mu$)和电荷($Q$)对 WH 条件的行为进行了评估。虽然电磁能量密度约束(NEC)。这归因于电磁场满足$rho=-p_{r}$的特性。随后,我们检验了所生成的 WH 几何图形的有源引力质量(AGM),并探索了 $mu$ 和 $Q$ 在有源质量方面的行为。我们研究了所有制定的形状函数的嵌入表示。对 CCWH 复杂性因子(CF)的研究表明,在所有情况下,CF 值始终处于特定范围内。最后,我们利用广义的托尔曼-奥本海默-沃尔科夫(TOV)方程,研究了所产生的带电卡西米尔虫洞(CCWH)解的稳定性。
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引用次数: 0
Davidson bases as an appropriate base for the Shell model large 1p- and 1h-nuclei 戴维森碱基作为壳牌模型(大 1p 核和 1h 核)的适当碱基
Pub Date : 2024-07-05 DOI: 10.1088/1572-9494/ad5f84
H. Sobhani, Yan-An Luo, Amir Jalili, H. Hassanabadi
This study endeavors to develop an improved set of basis functions for nuclear shell-model calculations. The shell model, a well-established approach to understanding nuclear structure, typically employs the harmonic oscillator potential within the mean-field approximation. Given the extensive validation and consistency of harmonic oscillator results with experimental data, we propose a modification by incorporating a centrifugal term that converges toward the Davidson potential. This potential has been extensively studied, and we aim to extract relevant experimental data for the simplest cases in the shell model, namely one-particle and one-hole nuclei. A comprehensive comparison between the Davidson-based results and the harmonic oscillator calculations is presented to demonstrate the effectiveness of the new basis functions.
本研究致力于为核壳模型计算开发一套改进的基函数。核壳模型是理解核结构的一种行之有效的方法,通常采用均场近似中的谐振子势。鉴于谐振子结果与实验数据的广泛验证和一致性,我们提出了一种修改方法,即加入一个向戴维森势收敛的离心项。戴维森势已被广泛研究,我们的目标是提取壳模型中最简单情况下的相关实验数据,即单粒子和单孔原子核。我们对基于戴维森的结果和谐振子计算结果进行了全面比较,以证明新基函数的有效性。
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引用次数: 0
Nonreciprocal single-photon scattering mediated by a driven Λ-type three-level giant atom 受驱动的Λ型三电平巨原子介导的非互易单光子散射
Pub Date : 2024-07-05 DOI: 10.1088/1572-9494/ad5f94
Xiaopei Zhang, Haozhen Li, Ran Zeng, Miao Hu, Mengmeng Xu, Xuefang Zhou, Yang Lan, Xiuwen Xia, Jingping Xu, Yaping Yang
Waveguide-QED with giant atoms, which is capable of accessing various limits of a small one, provides a new paradigm to study photon scatterings. Thus, how to achieve nonreciprocal photon transmissions via such giant atom setup is highly desirable. In this work, the nonreciprocal single-photon scattering characteristics of a double driven Λ-type three-level giant atom, where one of the transition couples to a one-dimensional waveguide at two separate points, and the other one is driven by two coherent driving fields, are investigated. It is found that a frequency tunable single photon diode with ideal contrast ratio can be achieved by properly manipulating the local coupling phases between the giant atom and the waveguide, the accumulation phase between the two waveguide coupling points, the Rabi frequencies and phase difference of the two driven fields. Compared to the previous single driving schemes, on the one hand, the presence of the second driving field can provide more tunable parameters to manipulate the nonreciprocal single-photon scattering behaviors. On the other hand, here perfect nonreciprocal transmission for photons with arbitrary frequencies is achievable by tuning the driving phases while the two driving fields keep turning on, which provides an alternative way to control the nonreciprocal single photon scattering. Furthermore, the results reveal that both the locations and width of each optimal nonreciprocal transmission windows are also sensitive to the driving detuning, and single photon diode with wide or narrow bandwidth can be realized based on demand. These results may be beneficial for designing nonreciprocal single photon devices based on a double driven giant atom setup.
巨原子波导-QED 能够进入小原子的各种极限,为研究光子散射提供了一种新的范例。因此,如何通过这种巨原子设置实现非互易光子传输是非常有必要的。在这项工作中,研究了双驱动Λ型三电平巨原子的非互易单光子散射特性,其中一个转变在两个独立点耦合到一维波导,另一个转变由两个相干驱动场驱动。研究发现,通过适当操纵巨原子与波导之间的局部耦合相位、两个波导耦合点之间的累积相位、两个驱动场的拉比频率和相位差,可以实现具有理想对比度的频率可调单光子二极管。与之前的单驱动方案相比,一方面,第二驱动场的存在可以提供更多可调参数来操纵非互惠的单光子散射行为。另一方面,在两个驱动场持续开启的情况下,通过调整驱动相位,可以实现任意频率光子的完美非互易传输,这为控制非互易单光子散射提供了另一种方法。此外,研究结果表明,每个最佳非互易传输窗口的位置和宽度对驱动失谐也很敏感,因此可以根据需要实现带宽或宽或窄的单光子二极管。这些结果可能有助于设计基于双驱动巨原子装置的非互易单光子器件。
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引用次数: 0
Verify quantum networks with GHZ paradox 用 GHZ 悖论验证量子网络
Pub Date : 2024-07-05 DOI: 10.1088/1572-9494/ad5f83
Huan Ye, Xue Yang, Ming‐Xing Luo
The GHZ paradox shows that it is possible to create a multipartite state involving three or more particles in which the measurement outcomes of the particles are correlated in a way that cannot be explained by classical physics. We extend it to witness quantum networks. We first extend the GHZ paradox to simultaneously verify GHZ state and EPR states on triangle networks. We then extend the GHZ paradox to witness the entanglement of chain networks consisting of multiple GHZ states. All the present results are robust against to the noise.
GHZ 悖论表明,有可能创造出一种涉及三个或更多粒子的多粒子状态,其中粒子的测量结果以一种经典物理学无法解释的方式相互关联。我们将其扩展到见证量子网络。我们首先扩展 GHZ 悖论,在三角形网络上同时验证 GHZ 状态和 EPR 状态。然后,我们将 GHZ 悖论扩展到见证由多个 GHZ 状态组成的链式网络的纠缠。所有这些结果对噪声都是稳健的。
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引用次数: 0
Thermal fluctuations, deflection angle and greybody factor of a high-dimensional Schwarzschild black hole in STVG STVG中高维施瓦兹柴尔德黑洞的热波动、偏转角和灰度因子
Pub Date : 2024-07-02 DOI: 10.1088/1572-9494/ad5d90
Qian Li, Yu Zhang, Qi-Quan Li, Qinshan Sun
In this work, we study the thermal fluctuations, deflection angle and greybody factor of the high-dimensional Schwarzschild black hole in scalar-tensor-vector gravity (STVG). We calculate some thermodynamic quantities related to the correction of black hole entropy caused by thermal fluctuations and discuss the effect of the correction parameters on these quantities. By analysing the changes in the corrected specific heat, we find that thermal fluctuations make the small-sized black hole more stable. It is worth noting that the STVG parameter does not affect the thermodynamic stability of this black hole. Additionally, by utilizing the Gauss-Bonnet theorem, the deflection angle is obtained in the weak field limit and the effect of two parameters on the results is visualized. Finally, we calculate the bounds on greybody factor of a massless scalar field. We observe that as the STVG parameter around black hole increases, the weak deflection angle becomes larger and the more scalar particles can reach infinity. However, the spacetime dimension has the opposite effect to the STVG parameter on the weak deflection angle and greybody factor.
在这项工作中,我们研究了标量-张量-矢量引力(STVG)中高维施瓦兹柴尔德黑洞的热波动、偏转角和灰度因子。我们计算了一些与热波动引起的黑洞熵修正有关的热力学量,并讨论了修正参数对这些量的影响。通过分析修正比热的变化,我们发现热波动使小尺寸黑洞更加稳定。值得注意的是,STVG 参数并不影响该黑洞的热力学稳定性。此外,利用高斯-波内特定理,我们得到了弱场极限下的偏转角,并直观地看到了两个参数对结果的影响。最后,我们计算了无质量标量场的灰体因子边界。我们观察到,随着黑洞周围 STVG 参数的增加,弱偏转角变得更大,更多的标量粒子可以达到无穷大。然而,时空维度对弱偏转角和灰度因子的影响与 STVG 参数相反。
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引用次数: 0
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Communications in Theoretical Physics
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