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Reciprocity theorem and fundamental transfer matrix 互易定理与基本转移矩阵
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-11-29 DOI: 10.1016/j.aop.2025.170313
Farhang Loran , Ali Mostafazadeh
Stationary potential scattering admits a formulation in terms of the quantum dynamics generated by a non-Hermitian effective Hamiltonian. We use this formulation to give a proof of the reciprocity theorem in two and three dimensions that does not rely on the properties of the scattering operator, Green’s functions, or Green’s identities. In particular, we identify reciprocity with an operator identity satisfied by an integral operator M̂, called the fundamental transfer matrix. This is a multi-dimensional generalization of the transfer matrix M of potential scattering in one dimension that stores the information about the scattering amplitude of the potential. We use the property of M̂ that is responsible for reciprocity to identify the analog of the relation, detM=1, in two and three dimensions, and establish a generic anti-pseudo-Hermiticity of the scattering operator. Our results apply for both real and complex potentials.
稳态势散射承认一个由非厄米有效哈密顿量产生的量子动力学公式。我们使用这个公式给出二维和三维互易定理的证明,它不依赖于散射算子、格林函数或格林恒等式的性质。特别地,我们用一个被称为基本转移矩阵的积分算子M满足的算子恒等式来标识互易性。这是势能散射传递矩阵M在一维上的多维推广,它存储了关于势能散射振幅的信息。我们利用负责互易性的M³的性质,在二维和三维空间中确定了关系detM=1的类比,并建立了散射算子的一般反伪厄米性。我们的结果既适用于实势,也适用于复势。
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引用次数: 0
Transport properties of the pseudospin-3/2 Dirac–Weyl fermions in the double-barrier-modulated two-dimensional system 双势垒调制二维系统中赝自旋3/2 Dirac-Weyl费米子的输运性质
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-11-28 DOI: 10.1016/j.aop.2025.170301
Rui Zhu
The pseudospin-3/2 Dirac–Weyl system is the kind of system bearing the quasiparticle band structure of two cones with different apex angles and their reversed replica touching at the apex, whose properties can be described by the pseudospin-3/2 Dirac equation. In this work, we analytically solved the pseudospin-3/2 Dirac equation and investigated the electronic transport properties in the double-barrier modulated two-dimensional system. The probability current density operator is explicitly derived from the time-dependent pseudospin-3/2 Dirac equation, which paves way for investigation of the electronic transport properties of general pseudospin-s Dirac–Weyl systems with s an integer or half integer larger than 1. As a result of the double-cone band structure, the pseudospin-3/2 system has two incident channels for a single incident energy and incident angle pair. Similar to its counterparts of pseudospin-1/2 and pseudospin-1 Dirac–Weyl systems, the Klein tunneling and resonant tunneling effects in the transmission probability are numerically observed for incidence coming from both Dirac cones in the double-barrier-modulated pseudospin-3/2 system. In contrast to its pseudospin-1/2 and -1 counterparts, the Klein tunneling and resonant tunneling effects are differentiated into double-channel and single-channel incidences, corresponding to different regimes in the E-ky dispersion plane. Without a flat band, the super Klein tunneling effect of the pseudospin-1 Dirac–Weyl system does not occur in the pseudospin-3/2 system. Using the numerically obtained probability current density, the zero-temperature conductivity, shot noise, and Fano factor are calculated. As a combined result of double-channel incidence, Klein tunneling, and resonant tunneling, in comparison with its pseudospin-1/2 (graphene) and pseudospin-1 counterparts, the conductivity and shot noise in the pseudospin-3/2 double-barrier structure is enhanced. A Fano factor between 0.4 and 0.5 close to the Dirac point EF=V0 is observed.
伪自旋-3/2 Dirac - weyl体系是一种具有不同顶点角的两个锥体及其反向复制品在顶点接触的准粒子带结构的体系,其性质可以用伪自旋-3/2 Dirac方程来描述。本文分析求解了赝自旋-3/2 Dirac方程,并研究了双势垒调制二维系统中的电子输运性质。从随时间变化的赝自旋-3/2 Dirac方程中导出了概率电流密度算子,为研究s为大于1的整数或半整数的一般赝自旋-3/2 Dirac - weyl系统的电子输运性质铺平了道路。由于双锥带结构,赝自旋-3/2体系具有单入射能量和单入射角对的两个入射通道。与伪自旋-1/2和伪自旋-1 Dirac - weyl系统类似,在双势垒调制伪自旋-3/2系统中,数值观察了来自两个Dirac锥的入射在传输概率中的克莱因隧道效应和共振隧道效应。与赝自旋1/2和-1相比,克莱因隧道效应和共振隧道效应分为双通道和单通道,对应于E-ky色散平面的不同区域。在没有平带的情况下,赝自旋-1的Dirac-Weyl体系不会出现超克莱因隧穿效应。利用数值计算得到的概率电流密度,计算了零温度电导率、射散噪声和Fano因子。由于双通道入射、克莱因隧穿和共振隧穿的共同作用,与赝自旋-1/2(石墨烯)和赝自旋-1相比,赝自旋-3/2双势垒结构的电导率和散粒噪声都得到了增强。在Dirac点EF=V0附近观察到一个介于0.4和0.5之间的法诺因子。
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引用次数: 0
Gravitational effects of sources inspired by ideal electromagnetic fields in spherical Painlevé–Gullstrand coordinates 球形painlev<s:1> - gullstrand坐标系中理想电磁场激发源的引力效应
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-11-27 DOI: 10.1016/j.aop.2025.170300
G. Abellán , N. Bolívar , I. Vasilev
We construct and analyse a class of static spherically symmetric spacetimes in general relativity sourced exclusively by classical electrostatic configurations. Using a spherically symmetric Painlevé–Gullstrand-like metric with unit lapse and a radial shift function, we develop piecewise-defined solutions where the interior geometry is flat and the exterior is supported by several sources inspired by electromagnetic distributions. These include point-charge-like fields, Yukawa-screened electric fields, dielectric layers, and Hulthén-type field. The Einstein equations naturally impose a relation between the energy density and radial pressure, while the tangential pressure is derived from the metric. We systematically evaluate the classical energy conditions in each model and study the appearance of singular behaviour using Israel junction conditions. This framework offers an analytically tractable setting to explore the gravitational effects of physically simple, well-understood sources without resorting to exotic matter.
我们构造并分析了广义相对论中一类完全由经典静电构型构成的静态球对称时空。使用球对称的painlev - gullstrand -like度量和单位推移和径向位移函数,我们开发了分段定义的解决方案,其中内部几何形状是平坦的,外部由受电磁分布启发的几个源支持。这些包括点电荷型场、汤川屏蔽电场、介电层和hulthsamn型场。爱因斯坦方程自然地在能量密度和径向压力之间强加了一种关系,而切向压力则是从度规推导出来的。我们系统地评估了每个模型中的经典能量条件,并使用以色列结条件研究了奇异行为的出现。这个框架提供了一个分析上易于处理的设置,以探索物理上简单,易于理解的源的引力效应,而不诉诸于外来物质。
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引用次数: 0
Quantum steering and entanglement in two coupled harmonic oscillators 两个耦合谐振子中的量子转向和纠缠
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-11-25 DOI: 10.1016/j.aop.2025.170306
Radouan Hab arrih , Ayoub Ghaba , Pablo Díaz , David Laroze , Ahmed Jellal
We study quantum steering and entanglement in two coupled harmonic oscillators using Wigner function techniques in phase space. We derive expressions for purity and quantum steering in the x- and y-directions. Our results extend previous studies from the weak coupling regime to the ultra-strong coupling regime, revealing significant deviations in behavior. In particular, we show that quantum steering between excited oscillators is completely absent even in the ultra-strong coupling regime. Similarly, resonant oscillators show no steering, and ground states cannot steer any receiver state. We find that quantum steering increases as the system approaches resonance and in certain ultra-strong coupling regimes. This behavior shows a clear asymmetry, with steering occurring in only one direction. It highlights the delicate balance of interaction strengths that shapes quantum correlations. These results improve our understanding of how excitation levels and coupling strengths affect quantum steering and entanglement in coupled harmonic oscillators.
我们利用相空间的维格纳函数技术研究了两个耦合谐振子中的量子导向和纠缠。我们在x和y方向上推导了纯度和量子导向的表达式。我们的研究结果将以前的研究从弱耦合扩展到超强耦合,揭示了行为的显著偏差。特别是,我们证明了激振子之间的量子转向即使在超强耦合状态下也是完全不存在的。同样,谐振振荡器没有转向,基态不能转向任何接收器状态。我们发现,当系统接近共振时,在某些超强耦合状态下,量子转向会增加。这种行为显示出一种明显的不对称性,即转向只发生在一个方向上。它强调了形成量子相关性的相互作用强度的微妙平衡。这些结果提高了我们对激励水平和耦合强度如何影响耦合谐振子中的量子转向和纠缠的理解。
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引用次数: 0
Reduced dynamics in quasi-Hermitian systems 准厄米系统的约化动力学
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-11-25 DOI: 10.1016/j.aop.2025.170304
Himanshu Badhani , C.M. Chandrashekar
Evolutions under non-Hermitian Hamiltonians with unbroken PT symmetry can be considered unitary under appropriate choices of inner products, facilitated by the so-called metric operator. While it is understood that the choice of the metric operator has no bearing on the description of the system, in this work, we show that this choice does dictate the entanglement structure of the system. We show that the partial trace of the Hermitized density matrix gives the correct representation of the reduced subsystem, and based on such operations, we elucidate the metric dependency of the reduced dynamics and consequently the observable dependence of the subsystem decomposition. We use a non-Hermitian PT-symmetric quantum walk as a toy model to study this metric dependency, where we use the internal (coin state) as the subsystem of interest and study the coin-position entanglement and non-Markovianity of the coin dynamics.
具有不破缺PT对称的非厄米哈密顿量下的演化可以被认为是酉的,在适当的内积选择下,由所谓的度量算子促进。虽然可以理解,度量算子的选择与系统的描述无关,但在这项工作中,我们表明这种选择确实决定了系统的纠缠结构。我们证明了Hermitized密度矩阵的部分迹给出了约简子系统的正确表示,并基于这些运算,我们阐明了约简动力学的度量依赖性,从而阐明了子系统分解的可观察依赖性。我们使用非厄米pt对称量子行走作为一个玩具模型来研究这种度量依赖性,其中我们使用内部(硬币状态)作为感兴趣的子系统,并研究硬币动力学的硬币位置纠缠和非马尔可夫性。
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引用次数: 0
Quantum algorithm for testing graph completeness 检验图完备性的量子算法
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-11-25 DOI: 10.1016/j.aop.2025.170305
Sara Giordano , Miguel A. Martin-Delgado
Testing graph completeness is a critical problem in computer science and network theory. Leveraging quantum computation, we present an efficient algorithm using the Szegedy quantum walk and quantum phase estimation (QPE). Our algorithm, which takes the number of nodes and the adjacency matrix as input, constructs a quantum walk operator and applies QPE to estimate its eigenvalues. These eigenvalues reveal the graph’s structural properties, enabling us to determine its completeness. We establish a relationship between the number of nodes in a complete graph and the number of marked nodes, optimizing the success probability and running time. The time complexity of our algorithm is O(log2n), where n is the number of nodes of the graph. offering a clear quantum advantage over classical methods. This approach is useful in network structure analysis, evaluating classical routing algorithms, and assessing systems based on pairwise comparisons.
图完备性检验是计算机科学和网络理论中的一个重要问题。利用量子计算,我们提出了一种使用Szegedy量子行走和量子相位估计(QPE)的高效算法。该算法以节点数和邻接矩阵为输入,构造一个量子行走算子,并应用QPE估计其特征值。这些特征值揭示了图的结构性质,使我们能够确定它的完备性。建立了完全图中节点数与标记节点数之间的关系,优化了成功概率和运行时间。我们算法的时间复杂度为O(log2n),其中n为图的节点数。与经典方法相比,提供了明显的量子优势。这种方法在网络结构分析、评估经典路由算法和基于两两比较的系统评估中非常有用。
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引用次数: 0
Improved coherence time of a non-Hermitian qubit in a PT-symmetric environment pt对称环境下非厄米量子比特相干时间的改进
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-11-24 DOI: 10.1016/j.aop.2025.170298
Duttatreya , Ipsika Mohanty , Sanjib Dey
Quantum computing’s potential for exponential speedup is fundamentally limited by decoherence, a phenomenon arising from environmental interactions. Non-Hermitian quantum mechanics, particularly PT-symmetric systems, offers a novel framework for extending coherence times. This study examines a qubit’s coherence under non-Hermitian PT-symmetric dynamics, highlighting significantly enhanced coherence times compared to Hermitian setups. The effect is especially pronounced when both the system and environment exhibit PT-symmetry. Interestingly, greater environmental non-Hermiticity correlates with extended coherence, contrary to traditional expectations. These findings point to promising strategies for managing decoherence, which could significantly advance approaches to quantum information processing.
量子计算的指数级加速潜力从根本上受到退相干的限制,退相干是一种由环境相互作用产生的现象。非厄米量子力学,特别是pt对称系统,为延长相干时间提供了一个新的框架。这项研究检查了非厄米pt对称动力学下量子比特的相干性,突出了与厄米设置相比显着增强的相干时间。当系统和环境都表现出pt对称时,这种效应尤为明显。有趣的是,与传统预期相反,更大的环境非厄米性与扩展相干性相关。这些发现指出了管理退相干的有希望的策略,这可以显著推进量子信息处理的方法。
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引用次数: 0
Gravitational lensing, shadow images and accretion dynamics of dark photon corrected black holes 引力透镜,暗光子校正黑洞的阴影图像和吸积动力学
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-11-24 DOI: 10.1016/j.aop.2025.170302
Shahid Chaudhary , Muhammad Danish Sultan , Talha Anwar , Atif Mossad Ali EI-Rehim , Farruh Atamurotov , Ali M. Mubaraki , Muhammad Hadi , M.A. Sayed
We study the gravitational lensing, shadow structure, and accretion dynamics of black holes modified by dark photon interactions arising from a hidden U(1) gauge symmetry. The metric incorporates Yukawa-type and magnetic dipole potentials sourced by dark photons. Using the Gauss–Bonnet theorem, we derive the weak deflection angle and show that the dark photon coupling gD, mass mA, and magnetic dipole ratio μf/Λ produce measurable deviations from general relativity. We further analyze light propagation in a plasma medium, where chromatic dispersion enhances the influence of the dark sector on the deflection angle. Extending the analysis to massive particles through the Jacobi metric approach, we demonstrate that velocity-dependent corrections cause slower particles to experience stronger deflection. The optical appearance of thin accretion disks is modeled using the Novikov–Thorne formalism and relativistic ray tracing, revealing that dark photon effects alter disk brightness and secondary image formation. Finally, static spherical accretion and shadow imaging analyses show that variations in gD and mA significantly modify the shadow boundary and ring luminosity, offering potential observational signatures of hidden-sector physics.
我们研究了由隐藏的U(1)规范对称引起的暗光子相互作用所改变的黑洞引力透镜、阴影结构和吸积动力学。该度量包含了由暗光子产生的汤川型和磁偶极子势。利用高斯-博内定理推导了弱偏转角,并证明了暗光子耦合gD、质量mA '和磁偶极子比μf/Λ与广义相对论产生了可测量的偏差。我们进一步分析了光在等离子体介质中的传播,其中色散增强了暗区对偏转角的影响。通过雅可比度量方法将分析扩展到大质量粒子,我们证明了速度相关的修正导致较慢的粒子经历更强的偏转。薄吸积盘的光学外观使用诺维科夫-索恩形式和相对论射线追踪建模,揭示了暗光子效应改变了盘的亮度和二次像的形成。最后,静态球面吸积和阴影成像分析表明,gD和mA的变化显著改变了阴影边界和光环亮度,为隐藏扇区物理提供了潜在的观测特征。
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引用次数: 0
Gravitational perturbations of Dymnikova black holes: Grey-body factors and absorption cross-sections 戴姆尼科娃黑洞的引力扰动:灰体因子和吸收截面
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-11-22 DOI: 10.1016/j.aop.2025.170299
Alexey Dubinsky
We study axial gravitational perturbations of the Dymnikova regular black hole, an asymptotically flat spacetime in which the Schwarzschild singularity is replaced by a de Sitter core. Using the WKB method with Padé approximants, we compute grey-body factors, and absorption cross-sections, and test the recently proposed correspondence between quasinormal frequencies and transmission coefficients. We find that variations of the quantum parameter lcr affect the effective potential only near the horizon, leading to minor deviations of grey-body factors and absorption cross-sections from the Schwarzschild case. As a result, the Hawking radiation spectrum is governed mainly by the modified Hawking temperature, with grey-body factors providing only subleading corrections. Unlike higher quasinormal overtones, which are highly sensitive to near-horizon deformations, the grey-body factors remain robust, a feature explicitly confirmed for the Dymnikova geometry. The correspondence between quasinormal modes and grey-body factors holds in our case with high accuracy for multipoles 2.
我们研究了Dymnikova规则黑洞的轴向引力扰动,这是一个渐近平坦的时空,其中史瓦西奇点被德西特核取代。利用带pad近似的WKB方法,我们计算了灰体因子和吸收截面,并测试了最近提出的准正态频率和透射系数之间的对应关系。我们发现,量子参数lcr的变化仅在视界附近影响有效势,导致灰体因子和吸收截面与史瓦西情况的微小偏差。因此,霍金辐射谱主要由修正后的霍金温度控制,而灰体因子只提供次要的修正。与对近视界变形高度敏感的更高的准正态泛音不同,灰体因子仍然很强大,这一特征在Dymnikova几何中得到了明确的证实。在我们的情况下,准正态模态与灰体因子之间的对应关系对于多极子r≥2具有很高的精度。
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引用次数: 0
Geometry-induced Coulomb-like potential in helically twisted quantum systems 螺旋扭曲量子系统中几何诱导的类库仑势
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-11-20 DOI: 10.1016/j.aop.2025.170295
Frankbelson dos S. Azevedo , Faizuddin Ahmed , Edilberto O. Silva
In this paper, we investigate the Schrödinger equation in a three-dimensional helically twisted space characterized by a non-trivial torsion parameter. By applying exact separation of variables, we derive the radial equation governing the dynamics of quantum particles in this geometric background. Remarkably, the intrinsic coupling between angular and longitudinal momenta induced by the torsion gives rise to an attractive Coulomb-like potential term that emerges purely from the underlying geometry, without introducing any external fields or interactions. We obtain exact analytical solutions for the bound states, including both the energy spectrum and the normalized wave functions. Numerical calculations are also performed, and excellent agreement with the exact results is found. The interplay between the torsion parameter and the effective Coulomb-like interaction is analyzed in detail, revealing how geometric deformation gives rise to novel quantum confinement mechanisms in twisted spaces.
本文研究了以非平凡扭转参数为特征的三维螺旋扭转空间中的Schrödinger方程。通过对变量的精确分离,我们推导出了在这种几何背景下控制量子粒子动力学的径向方程。值得注意的是,由扭转引起的角动量和纵向动量之间的固有耦合产生了一个吸引人的类库仑势项,它纯粹从底层几何中出现,而不引入任何外部场或相互作用。我们得到了束缚态的精确解析解,包括能量谱和归一化波函数。并进行了数值计算,结果与实际结果非常吻合。详细分析了扭转参数与有效类库仑相互作用之间的相互作用,揭示了几何变形如何在扭曲空间中产生新的量子约束机制。
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引用次数: 0
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