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Riemann–Hilbert problem for the defocusing Lakshmanan–Porsezian–Daniel equation with fully asymmetric nonzero boundary conditions 具有完全非对称非零边界条件的失焦拉克什曼-波尔舍西安-丹尼尔方程的黎曼-希尔伯特问题
IF 1.7 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-01 DOI: 10.1088/1674-1056/ad5af2
Jianying Ji, Xiyang Xie
The Riemann–Hilbert approach is demonstrated to investigate the defocusing Lakshmanan–Porsezian–Daniel equation under fully asymmetric nonzero boundary conditions. In contrast to the symmetry case, this paper focuses on the branch points related to the scattering problem rather than using the Riemann surfaces. For the direct problem, we analyze the Jost solution of lax pairs and some properties of scattering matrix, including two kinds of symmetries. The inverse problem at branch points can be presented, corresponding to the associated Riemann–Hilbert. Moreover, we investigate the time evolution problem and estimate the value of solving the solutions by Jost function. For the inverse problem, we construct it as a Riemann–Hilbert problem and formulate the reconstruction formula for the defocusing Lakshmanan–Porsezian–Daniel equation. The solutions of the Riemann–Hilbert problem can be constructed by estimating the solutions. Finally, we work out the solutions under fully asymmetric nonzero boundary conditions precisely via utilizing the Sokhotski–Plemelj formula and the square of the negative column transformation with the assistance of Riemann surfaces. These results are valuable for understanding physical phenomena and developing further applications of optical problems.
本文展示了黎曼-希尔伯特方法,用于研究完全非对称非零边界条件下的失焦拉克什曼-波齐安-丹尼尔方程。与对称情况不同,本文重点研究与散射问题相关的分支点,而不是使用黎曼曲面。对于直接问题,我们分析了松弛对的约斯特解和散射矩阵的一些性质,包括两种对称性。可以提出分支点的逆问题,与相关的黎曼-希尔伯特问题相对应。此外,我们还研究了时间演化问题,并估算了用约斯特函数求解的值。对于逆问题,我们将其构建为黎曼-希尔伯特问题,并提出了失焦拉克什曼-波齐安-丹尼尔方程的重构公式。黎曼-希尔伯特问题的解可以通过估计解来构建。最后,我们在黎曼曲面的帮助下,利用索霍茨基-普莱梅利公式和负列平方变换,精确地算出了完全不对称非零边界条件下的解。这些结果对于理解物理现象和开发光学问题的进一步应用非常有价值。
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引用次数: 0
Bose–Einstein distribution temperature features of quasiparticles around magnetopolaron in Gaussian quantum wells of alkali halogen ions 碱卤离子高斯量子阱中磁极子周围准粒子的玻色-爱因斯坦分布温度特征
IF 1.7 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-01 DOI: 10.1088/1674-1056/ad5c3c
Xin Zhang, 仁高娃 Sarengaowa, Shuang Han, Ran An, Xin-Xue Zhang, Xin-Ying Ji, Hong-Xu Jiang, Xin-Jun Ma, Pei-Fang Li, Yong Sun
We have applied strong coupling unitary transformation method combined with Bose–Einstein statistical law to investigate magnetopolaron energy level temperature effects in halogen ion crystal quantum wells. The obtained results showed that under magnetic field effect, magnetopolaron quasiparticle was formed through the interaction of electrons and surrounding phonons. At the same time, magnetopolaron was influenced by phonon temperature statistical law and important energy level shifts down and binding energy increases. This revealed that lattice temperature and magnetic field could easily affect magnetopolaron and the above results could play key roles in exploring thermoelectric conversion and conductivity of crystal materials.
我们应用强耦合单元变换方法结合玻色-爱因斯坦统计定律研究了卤素离子晶体量子阱中的磁聚子能级温度效应。结果表明,在磁场作用下,电子与周围声子相互作用形成磁聚子准粒子。同时,磁聚子受到声子温度统计规律的影响,重要能级下移,结合能增加。这揭示了晶格温度和磁场很容易对磁聚子产生影响,而上述结果将对探索晶体材料的热电转换和导电性能起到关键作用。
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引用次数: 0
A solution method for decomposing vector fields in Hamilton energy 分解汉密尔顿能量矢量场的求解方法
IF 1.7 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-01 DOI: 10.1088/1674-1056/ad5a74
Xin Zhao, Ming Yi, Zhou-Chao Wei, Yuan Zhu, Lu-Lu Lu
Hamilton energy, which reflects the energy variation of systems, is one of the crucial instruments used to analyze the characteristics of dynamical systems. Here we propose a method to deduce Hamilton energy based on the existing systems. This derivation process consists of three steps: step 1, decomposing the vector field; step 2, solving the Hamilton energy function; and step 3, verifying uniqueness. In order to easily choose an appropriate decomposition method, we propose a classification criterion based on the form of system state variables, i.e., type-I vector fields that can be directly decomposed and type-II vector fields decomposed via exterior differentiation. Moreover, exterior differentiation is used to represent the curl of low-high dimension vector fields in the process of decomposition. Finally, we exemplify the Hamilton energy function of six classical systems and analyze the relationship between Hamilton energy and dynamic behavior. This solution provides a new approach for deducing the Hamilton energy function, especially in high-dimensional systems.
汉密尔顿能反映了系统的能量变化,是用于分析动力系统特性的重要工具之一。在此,我们提出一种基于现有系统的汉密尔顿能量推导方法。该推导过程包括三个步骤:第一步,分解矢量场;第二步,求解汉密尔顿能量函数;第三步,验证唯一性。为了便于选择合适的分解方法,我们提出了一种基于系统状态变量形式的分类标准,即可以直接分解的 I 型向量场和通过外部微分分解的 II 型向量场。此外,在分解过程中,我们还使用外部微分来表示低维度-高维度向量场的卷曲。最后,我们例举了六个经典系统的汉密尔顿能量函数,并分析了汉密尔顿能量与动态行为之间的关系。这一解决方案为推导汉密尔顿能量函数提供了一种新方法,尤其是在高维系统中。
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引用次数: 0
Effect of distribution of fines on evolution of cooperation in spatial public goods game 罚款分配对空间公共产品博弈中合作演变的影响
IF 1.7 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-01 DOI: 10.1088/1674-1056/ad5aee
Xing-Ping Sun, Yan-Zheng Bi, Hong-Wei Kang, Yong Shen, Qing-Yi Chen
In the realm of public goods game, punishment, as a potent tool, stands out for fostering cooperation. While it effectively addresses the first-order free-rider problem, the associated costs can be substantial. Punishers incur expenses in imposing sanctions, while defectors face fines. Unfortunately, these monetary elements seemingly vanish into thin air, representing a loss to the system itself. However, by virtue of the redistribution of fines to cooperators and punishers, not only can we mitigate this loss, but the rewards for these cooperative individuals can be enhanced. Based upon this premise, this paper introduces a fine distribution mechanism to the traditional pool punishment model. Under identical parameter settings, by conducting a comparative experiment with the conventional punishment model, the paper aims to investigate the impact of fine distribution on the evolution of cooperation in spatial public goods game. The experimental results clearly demonstrate that, in instances where the punishment cost is prohibitively high, the cooperative strategies of the traditional pool punishment model may completely collapse. However, the model enriched with fine distribution manages to sustain a considerable number of cooperative strategies, thus highlighting its effectiveness in promoting and preserving cooperation, even in the face of substantial punishment cost.
在公共产品博弈领域,惩罚作为一种有力的工具,在促进合作方面尤为突出。虽然它能有效解决一阶搭便车问题,但相关成本也可能很高。惩罚者在实施惩罚时会产生费用,而叛逃者则会面临罚款。不幸的是,这些货币要素似乎凭空消失了,这代表了系统本身的损失。然而,通过将罚款重新分配给合作者和惩罚者,我们不仅可以减少这种损失,还可以提高这些合作者的回报。基于这一前提,本文在传统的集合惩罚模型中引入了罚款分配机制。在相同的参数设置下,通过与传统惩罚模型的对比实验,本文旨在研究罚款分配对空间公共物品博弈中合作演化的影响。实验结果清楚地表明,在惩罚成本过高的情况下,传统惩罚池模型的合作策略可能会完全崩溃。然而,富含罚款分配的模型却能维持相当数量的合作策略,从而凸显了它在促进和维护合作方面的有效性,即使面对巨大的惩罚成本也是如此。
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引用次数: 0
Half-metallic ferromagneticWeyl fermions related to dynamic correlations in the zinc-blende compound VAs 与锌-蓝晶石化合物 VAs 中动态相关性有关的半金属铁磁性韦尔费米子
IF 1.7 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-01 DOI: 10.1088/1674-1056/ad5f86
Xianyong Ding, Haoran Wei, Ruixiang Zhu, Xiaoliang Xiao, Xiaozhi Wu, Rui Wang
The realization of 100% polarized topological Weyl fermions in half-metallic ferromagnets is of particular importance for fundamental research and spintronic applications. Here, we theoretically investigate the electronic and topological properties of the zinc-blende compound VAs, which was deemed as a half-metallic ferromagnet related to dynamic correlations. Based on the combination of density functional theory and dynamical mean field theory, we uncover that the half-metallic ferromagnet VAs exhibits attractive Weyl semimetallic behaviors which are very close to the Fermi level in the DFT + U regime with effect U values ranging from 1.5 eV to 2.5 eV. Meanwhile, we also investigate the magnetization-dependent topological properties; the results show that the change of magnetization directions only slightly affects the positions of Weyl points, which is attributed to the weak spin–orbital coupling effects. The topological surface states of VAs projected on semi-infinite (001) and (111) surfaces are investigated. The Fermi arcs of all Weyl points are clearly visible on the projected Fermi surfaces. Our findings suggest that VAs is a fully spin-polarized Weyl semimetal with many-body correlated effects in the effective U values range from 1.5 eV to 2.5 eV.
在半金属铁磁体中实现 100% 极化拓扑韦尔费米子对于基础研究和自旋电子应用尤为重要。在这里,我们从理论上研究了锌蓝晶化合物 VAs 的电子和拓扑特性,它被认为是一种与动态相关性有关的半金属铁磁体。基于密度泛函理论和动态均场理论的结合,我们发现半金属铁磁体 VAs 表现出有吸引力的韦尔半金属行为,在 DFT + U 体系中非常接近费米级,效应 U 值从 1.5 eV 到 2.5 eV 不等。同时,我们还研究了与磁化相关的拓扑性质;结果表明,磁化方向的改变对韦尔点位置的影响很小,这归因于微弱的自旋轨道耦合效应。研究了投影在半无限(001)和(111)表面上的 VAs 拓扑表面态。所有韦尔点的费米弧在投影费米面上都清晰可见。我们的研究结果表明,VAs 是一种完全自旋极化的韦尔半金属,其有效 U 值范围在 1.5 eV 至 2.5 eV 之间,具有多体相关效应。
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引用次数: 0
Determination of liquid viscosity based on dual-frequency-band particle tracking 基于双频波段粒子跟踪的液体粘度测定法
IF 1.7 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-01 DOI: 10.1088/1674-1056/ad597e
Lihua Yan, Boyin Xue, Yuanji Li, Jinxia Feng, Xingkang Wu, Kuanshou Zhang
An optical-tweezers-based dual-frequency-band particle tracking system was designed and fabricated for liquid viscosity detection. On the basis of the liquid viscosity dependent model of the particle’s restricted Brownian motion with the Faxén correction taken into account, the liquid viscosity and optical trap stiffness were determined by fitting the theoretical prediction with the measured power spectral densities of the particle’s displacement and velocity that were derived from the dual-frequency-band particle tracking data. When the SiO2 beads were employed as probe particles in the measurements of different kinds of liquids, the measurement results exhibit a good agreement with the reported results, as well as a detection uncertainty better than 4.6%. This kind of noninvasive economical technique can be applied in diverse environments for both in situ and ex situ viscosity detection of liquids.
设计并制造了一种基于光学镊子的双频带粒子跟踪系统,用于液体粘度检测。在考虑了传真校正的粒子受限布朗运动的液体粘度相关模型的基础上,根据双频波段粒子跟踪数据得到的粒子位移和速度的功率谱密度,通过拟合理论预测值来确定液体粘度和光学阱刚度。将二氧化硅微珠作为探针粒子对不同种类的液体进行测量时,测量结果与报告结果吻合良好,检测不确定性优于 4.6%。这种非侵入式经济技术可应用于不同环境下的液体原位和非原位粘度检测。
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引用次数: 0
Quantum block coherence with respect to projective measurements 关于投影测量的量子块相干性
IF 1.7 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-31 DOI: 10.1088/1674-1056/ad50c1
Pu Wang, 璞 王, Zhong-Yan Li, 忠艳 李, Hui-Xian Meng and 会贤 孟
Quantum coherence serves as a defining characteristic of quantum mechanics, finding extensive applications in quantum computing and quantum communication processing. This study explores quantum block coherence in the context of projective measurements, focusing on the quantification of such coherence. Firstly, we define the correlation function between the two general projective measurements P and Q, and analyze the connection between sets of block incoherent states related to two compatible projective measurements P and Q. Secondly, we discuss the measure of quantum block coherence with respect to projective measurements. Based on a given measure of quantum block coherence, we characterize the existence of maximal block coherent states through projective measurements. This research integrates the compatibility of projective measurements with the framework of quantum block coherence, contributing to the advancement of block coherence measurement theory.
量子相干性是量子力学的一个决定性特征,在量子计算和量子通信处理中有着广泛的应用。本研究探讨了投影测量背景下的量子块相干性,重点是量化这种相干性。首先,我们定义了两个一般投影测量 P 和 Q 之间的相关函数,并分析了与两个兼容投影测量 P 和 Q 相关的块非相干态集之间的联系。基于给定的量子块相干性度量,我们通过投影测量表征了最大块相干态的存在。这项研究将投影测量与量子块相干框架的兼容性结合起来,有助于推动块相干测量理论的发展。
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引用次数: 0
Integrated analysis of plasma rotation effect on HL-3 hybrid scenario 等离子体旋转效应对 HL-3 混合方案的综合分析
IF 1.7 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-31 DOI: 10.1088/1674-1056/ad43d3
Miao Xue, 淼 薛, Guo-Yao Zheng, 国尧 郑, Lei Xue, 雷 薛, Jia-Xian Li, 佳鲜 李, Shuo Wang, 硕 王, Hai-Long Du, 海龙 杜, Yi-Ren Zhu, 毅仁 朱, Yue Zhou and 月 周
The hybrid scenario, which has good confinement and moderate MHD instabilities, is a proposed operation scenario for international thermonuclear experimental reactor (ITER). In this work, the effect of plasma rotation on the HL-3 hybrid scenario is analyzed with the integrated modeling framework OMFIT. The results show that toroidal rotation has no obvious effect on confinement with a high line averaged density of nbar ∼ 7 × 1019 m−3. In this case, the ion temperature only changes from 4.7 keV to 4.4 keV with the rotation decreasing from 105 rad/s to 103 rad/s, which means that the turbulent heat transport is not dominant. While in the scenarios characterized by lower densities, such as nbar ∼ 4 × 1019 m−3, turbulent transport becomes dominant in determining heat transport. The ion temperature rises from 3.8 keV to 6.1 keV in the core as the rotation velocity increases from 103 rad/s to 105 rad/s. Despite the ion temperature rising, the rotation velocity does not obviously affect electron temperature or density. Additionally, it is noteworthy that the variation in rotation velocity does not significantly affect the global confinement of plasma in scenarios with low density or with high density.
混合方案具有良好的约束性和适度的 MHD 不稳定性,是国际热核实验反应堆(ITER)的一种拟议运行方案。在这项工作中,利用集成建模框架 OMFIT 分析了等离子体旋转对 HL-3 混合方案的影响。结果表明,在高线平均密度 nbar ∼ 7 × 1019 m-3 的情况下,环形旋转对约束没有明显影响。在这种情况下,随着旋转速度从 105 rad/s 减小到 103 rad/s,离子温度仅从 4.7 keV 变为 4.4 keV,这意味着湍流热传输并不占主导地位。而在密度较低的情况下,如 nbar ∼ 4 × 1019 m-3 时,湍流输运成为决定热输运的主要因素。当旋转速度从 103 拉德/秒增加到 105 拉德/秒时,内核中的离子温度从 3.8 keV 上升到 6.1 keV。尽管离子温度上升,但旋转速度并没有明显影响电子温度或密度。此外,值得注意的是,在低密度或高密度的情况下,旋转速度的变化对等离子体的全局约束没有明显影响。
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引用次数: 0
Absence of BCS–BEC crossover in FeSe0.45Te0.55 superconductor FeSe0.45Te0.55 超导体中不存在 BCS-BEC 交叉
IF 1.7 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-01 DOI: 10.1088/1674-1056/ad51f9
Junjie Jia, Yadong Gu, Chaohui Yin, Yingjie Shu, Yiwen Chen, Jumin Shi, Xing Zhang, Hao Chen, Taimin Miao, Xiaolin Ren, Bo Liang, Wenpei Zhu, Neng Cai, Fengfeng Zhang, Shenjin Zhang, Feng Yang, Zhimin Wang, Qinjun Peng, Zuyan Xu, Hanqing Mao, Guodong Liu, Zhian Ren, Lin Zhao, Xing-Jiang Zhou
In iron-based superconductor Fe(Se,Te), a flat band-like feature near the Fermi level was observed around the Brillouin zone center in the superconducting state. It is under debate whether this is the evidence on the presence of the BCS–BEC [Bardeen–Cooper–Schrieffer (BCS), Bose–Einstein condensation (BEC)] crossover in the superconductor. High-resolution laser-based angle-resolved photoemission measurements are carried out on high quality single crystals of FeSe0.45Te0.55 superconductor to address the issue. By employing different polarization geometries, we have resolved and isolated the dyz band and the topological surface band, making it possible to study their superconducting behaviors separately. The dyz band alone does not form a flat band-like feature in the superconducting state and the measured dispersion can be well described by the BCS picture. We find that the flat band-like feature is formed from the combination of the dyz band and the topological surface state band in the superconducting state. These results reveal the origin of the flat band-like feature and rule out the presence of BCS-BEC crossover in Fe(Se,Te) superconductor.
在铁基超导体 Fe(Se,Te)中,人们在超导态的布里渊区中心附近观察到靠近费米级的扁平带状特征。这是否是超导体中存在 BCS-BEC [巴丁-库珀-施里弗(BCS)、玻色-爱因斯坦凝聚(BEC)] 交叉的证据,目前还存在争议。为了解决这个问题,我们对 FeSe0.45Te0.55 超导体的高质量单晶体进行了高分辨率激光角度分辨光发射测量。通过采用不同的偏振几何结构,我们解析并分离了掺杂带和拓扑表面带,从而有可能分别研究它们的超导行为。在超导状态下,单独的掺杂带并不形成平坦的带状特征,测量到的色散可以很好地用 BCS 图描述。我们发现,在超导状态下,平坦带状特征是由 dyz 带和拓扑表面态带共同形成的。这些结果揭示了扁带状特征的起源,并排除了铁(Se,Te)超导体中存在 BCS-BEC 交叉的可能性。
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引用次数: 0
Nonlinear time-reversal interferometry with arbitrary quadratic collective-spin interaction 具有任意二次集体自旋相互作用的非线性时间反转干涉测量法
IF 1.7 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-01 DOI: 10.1088/1674-1056/ad4ff7
Zhiyao Hu, Qixian Li, Xuanchen Zhang, He-Bin Zhang, Long-Gang Huang, Yong-Chun Liu
Atomic nonlinear interferometry has wide applications in quantum metrology and quantum information science. Here we propose a nonlinear time-reversal interferometry scheme with high robustness and metrological gain based on the spin squeezing generated by arbitrary quadratic collective-spin interaction, which could be described by the Lipkin–Meshkov–Glick (LMG) model. We optimize the squeezing process, encoding process, and anti-squeezing process, finding that the two particular cases of the LMG model, one-axis twisting and two-axis twisting outperform in robustness and precision, respectively. Moreover, we propose a Floquet driving method to realize equivalent time reverse in the atomic system, which leads to high performance in precision, robustness, and operability. Our study sets a benchmark for achieving high precision and high robustness in atomic nonlinear interferometry.
原子非线性干涉测量在量子计量学和量子信息科学中有着广泛的应用。在这里,我们提出了一种非线性时间反转干涉测量方案,该方案基于任意二次集体自旋相互作用产生的自旋挤压,可以用利普金-梅什科夫-格里克(LMG)模型来描述,具有很高的鲁棒性和计量增益。我们对挤压过程、编码过程和反挤压过程进行了优化,发现 LMG 模型的两种特殊情况--一轴扭转和两轴扭转--分别在鲁棒性和精度方面表现出色。此外,我们还提出了一种 Floquet 驱动方法,以实现原子系统中的等效时间反向,从而在精度、稳健性和可操作性方面实现高性能。我们的研究为实现原子非线性干涉测量的高精度和高鲁棒性树立了标杆。
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引用次数: 0
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Chinese Physics B
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