Annals of Physics最新文献_第3页

Polynomial algebra from the Lie algebra reduction chain su(4)⊃su(2)×su(2): The supermultiplet model 李代数约简链上的多项式代数su(4)、su(2)×su(2)：超多重模型

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2025-12-15 DOI: 10.1016/j.aop.2025.170322

Rutwig Campoamor-Stursberg , Danilo Latini , Ian Marquette , Junze Zhang , Yao-Zhong Zhang

The supermultiplet model, based on the reduction chain

su (4) \supset su (2) \times su (2)

, is revisited through the lens of commutants within universal enveloping algebras of Lie algebras. From this analysis, a collection of twenty polynomials up to degree nine emerges from the commutant associated with the

su (2) \times su (2)

subalgebra. This study is conducted in the Poisson (commutative) framework using the Lie-Poisson bracket associated with the dual of the Lie algebra under consideration. As the main result, we obtain the polynomial Poisson algebra generated by these twenty linearly independent and indecomposable polynomials, with five elements being central. This incorporates polynomial expansions up to degree seventeen in the Lie algebra generators. We further discuss additional algebraic relations among these polynomials, explicitly detailing some of the lower-order ones. As a byproduct of these results, we also show that the recently introduced ‘grading method’ turns out to be essential for deriving the Poisson bracket relations when the degree of the expansions becomes so high that standard approaches are no longer applicable due to computational limitations. These findings represent a further step toward the systematic exploration of polynomial algebras relevant to nuclear models.

基于约简链su(4)、su(2)×su(2)的超多重模型，通过李代数的万向包络代数中的交换子镜头重新审视。从这个分析中，从与su(2)×su(2)子代数相关的交换子中产生了一个9次以下的20个多项式的集合。本研究是在泊松（交换）框架中进行的，使用与所考虑的李代数的对偶相关的Lie-Poisson括号。作为主要结果，我们得到了由这二十个线性无关的不可分解多项式生成的多项式泊松代数，以五个元素为中心。这包含了李代数生成器中高达17次的多项式展开式。我们进一步讨论了这些多项式之间的其他代数关系，明确地详细说明了一些低阶多项式。作为这些结果的副产品，我们还表明，当展开的程度变得如此之高，以至于由于计算限制，标准方法不再适用时，最近引入的“分级方法”对于推导泊松括号关系是必不可少的。这些发现代表了系统探索与核模型相关的多项式代数的又一步。

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引用次数: 0

Cosmic evolution and stability of the Einstein Static Universe in modified gravity models 修正引力模型中的宇宙演化和爱因斯坦静态宇宙的稳定性

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2025-12-12 DOI: 10.1016/j.aop.2025.170321

Sana Saleem , Jawahir Waqqas , Tooba Tariq , S.A. Mardan

In this study, we investigate the stability of the Einstein Static Universe within

f (R)

gravity under homogeneous anisotropic perturbations in both scale factors and matter. The perturbed field equations are derived using a linear equation of state, and two specific models are analyzed. The Arctan model,

f (R) = λ arctan (R)

, yields bounded curvature and smooth transitions across regimes, while the Logarithmic model,

f (R) = β ln (R) + R

, incorporates quantum-motivated corrections. For each model, stability conditions are obtained and stability regions are mapped in parameter space. Our analysis shows that both models admit stable Einstein Static Universe solutions within certain parameter ranges, in contrast with the instability predicted by General Relativity.

在本研究中，我们研究了在尺度因子和物质的均匀各向异性扰动下，f(R)重力下爱因斯坦静态宇宙的稳定性。利用线性状态方程推导了扰动场方程，并对两种具体模型进行了分析。Arctan模型f(R)=λarctan(R)产生有界曲率和跨域平滑过渡，而对数模型f(R)=βln(R)+R包含量子驱动修正。对于每个模型，得到了稳定条件，并在参数空间中映射了稳定区域。我们的分析表明，这两个模型在一定的参数范围内都承认稳定的爱因斯坦静态宇宙解，而不是广义相对论所预测的不稳定性。

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引用次数: 0

Scalar bosons in the context of gravity’s rainbow in the double defect spacetime 双缺陷时空中引力彩虹背景下的标量玻色子

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2025-12-12 DOI: 10.1016/j.aop.2025.170316

L.C.N. Santos , H. Aounallah , L.G. Barbosa

In this work, we investigate the behavior of scalar bosons governed by the Klein–Gordon equation in a spacetime modified by both a cosmic string and a global monopole, under the framework of gravity’s rainbow. Two interaction types are considered: a Klein–Gordon oscillator and a Coulomb-like potential. The presence of topological defects introduces effective angular momentum modifications, while the rainbow functions

f (x)

and

g (x)

incorporate an energy dependence into the spacetime geometry. Analytical and numerical solutions are obtained for the bound states, and the resulting energy spectra are analyzed for different choices of rainbow functions. The results demonstrate that both the topological parameters

α

,

β

and the rainbow parameter

ξ

significantly influence the energy levels, introducing shifts and asymmetries that are sensitive to the functional form of the rainbow modifications.

在这项工作中，我们在引力彩虹的框架下，研究了由克莱因-戈登方程控制的标量玻色子在由宇宙弦和全局单极子修正的时空中的行为。考虑了两种相互作用类型：克莱因-戈登振子和类库仑势。拓扑缺陷的存在引入了有效的角动量修正，而彩虹函数f(x)和g(x)将能量依赖纳入时空几何。得到了束缚态的解析解和数值解，并分析了不同彩虹函数选择下的能谱。结果表明，拓扑参数α、β和彩虹参数ξ对能级都有显著影响，引入了对彩虹修饰的功能形式敏感的位移和不对称。

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引用次数: 0

Dark energy cosmological solutions in f(Q) modified gravity f(Q)修正引力中的暗能量宇宙学解

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2025-12-10 DOI: 10.1016/j.aop.2025.170320

Adnan Malik , Aimen Rauf , P.K. Sahoo , Wenbin Lin , Fatemah Mofarreh

This study investigates cosmological dynamics in modified

f (Q)

gravity, where spacetime geometry is governed by the non-metricity scalar

Q

. Using Friedmann–Robertson–Walker spacetime, we derive exact cosmological solutions for six distinct epochs: dark energy-dominated, dust-dominated, sub-relativistic, radiation-dominated, ultra-relativistic, and stiff fluid phases. Employing a power-law approach, we analyze the universe’s evolutionary dynamics, identifying parameter ranges that satisfy energy conditions for viable bouncing cosmologies. We further examine three specific bouncing scenarios — symmetric bounce, superbounce, and oscillatory cosmology — within the

f (Q)

framework, assessing their mathematical consistency and physical implications. Our results demonstrate how

f (Q)

gravity can simultaneously address singularity avoidance, describe multi-phase cosmic evolution, and provide alternatives to standard cosmological paradigms while maintaining fundamental energy conditions. The findings highlight the theory’s potential to unify diverse cosmological phenomena through geometric modifications of gravity.

本研究研究了修正f(Q)引力下的宇宙动力学，其中时空几何由非度规标量Q控制。利用弗里德曼-罗伯逊-沃克时空，我们得到了六个不同时代的精确宇宙学解：暗能量主导，尘埃主导，次相对论性，辐射主导，超相对论性和硬流体阶段。采用幂律方法，我们分析了宇宙的演化动力学，确定了满足可行的弹跳宇宙论能量条件的参数范围。我们在f(Q)框架内进一步研究了三种特定的弹跳情景——对称弹跳、超弹跳和振荡宇宙学，评估了它们的数学一致性和物理含义。我们的研究结果证明了f(Q)引力如何同时解决奇点避免问题，描述多相宇宙演化，并在保持基本能量条件的同时提供标准宇宙范式的替代方案。这些发现突出了该理论通过引力的几何修正来统一各种宇宙现象的潜力。

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引用次数: 0

Einstein causality of quantum measurements in the Tomonaga–Schwinger picture 爱因斯坦在Tomonaga-Schwinger图中量子测量的因果关系

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2025-12-05 DOI: 10.1016/j.aop.2025.170314

Samuel Fedida

We investigate a generalisation to Lüders’ rule à la Aharonov–Albert in those globally hyperbolic spacetimes which allow unitarily equivalent Hilbert spaces to be defined along Cauchy hypersurfaces, thus relying on the existence of an interaction picture à la Tomonaga–Schwinger. We show that under this rule and under the additional assumptions of the integrability and unitarity of the Tomonaga–Schwinger dynamics and the foliation-independence of rays on acausal Cauchy hypersurfaces, selective quantum measurements satisfy a state-independent anyonic commutation relation over spacelike-separated precompact regions. We highlight that this propagates to positive operator-valued measures, where the commutation is necessarily bosonic. In the instantaneous-measurement idealisation, this implies quantum no-signalling for non-selective measurements. We then examine Sorkin’s impossible measurements and show that immediate contradictions can be averted as long as collapse-inducing measurements are irreversible. These results reaffirm the consistency of the Tomonaga–Schwinger picture of relativistic quantum theory, for which unitarity, integrability and foliation-independence of the states exclude superluminal signalling despite the “instantaneity” of a side-cone measurement collapse rule. We finish by discussing the possibility of extending such results beyond the interaction picture.

我们研究了在全局双曲时空中l ders规则（la Aharonov-Albert）的推广，该规则允许沿柯西超曲面定义酉等价Hilbert空间，从而依赖于相互作用图（la Tomonaga-Schwinger）的存在性。我们证明了在此规则下，在Tomonaga-Schwinger动力学的可积性和唯一性以及射线在Cauchy超表面上的叶独立性的附加假设下，在类空间分离的预紧区域上的选择性量子测量满足状态无关的任意子交换关系。我们强调，这将传播到正算子值测度，其中交换必然是玻色子的。在瞬时测量理想化中，这意味着非选择性测量的量子无信号。然后，我们检验了索金的不可能测量，并表明只要引起坍缩的测量是不可逆的，就可以避免直接矛盾。这些结果重申了相对论量子理论的Tomonaga-Schwinger图的一致性，尽管侧锥测量坍缩规则具有“瞬时性”，但状态的统一性、可积性和叶独立性排除了超光速信号。最后，我们将讨论将这些结果扩展到相互作用图之外的可能性。

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引用次数: 0

Bridging quantum mechanics and thermodynamics: Irreversible correlations as the arrow of time 连接量子力学和热力学：作为时间之箭的不可逆关联

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2025-12-03 DOI: 10.1016/j.aop.2025.170318

Xi Ming , Qing-yu Cai

This work investigates the fundamental connection between quantum mechanics and thermodynamics through the concept of the arrow of time. While the second law of thermodynamics identifies the arrow of time with the monotonic increase of entropy in isolated systems, closed quantum systems evolve unitarily and conserve von Neumann entropy, making the origin of irreversibility less apparent. Here we establish a no-go theorem proving that correlations in unknown states of closed quantum systems cannot be universally removed by any physical operation. This result demonstrates that correlation generation is inherently irreversible, providing a microscopic and universal basis for the arrow of time. In thermodynamic settings, this irreversibility ensures that heat flows spontaneously from hotter to colder subsystems, reproducing the Clausius formulation of the second law. More generally, the irreversible growth of correlations explains entropy increase, the approach to equilibrium, and decoherence as observable manifestations of the same principle. Our findings ground a quantum-mechanical foundation for the second law of thermodynamics and demonstrate the universality of the arrow of time.

这项工作通过时间之箭的概念研究了量子力学和热力学之间的基本联系。虽然热力学第二定律将时间之箭与孤立系统中熵的单调增加联系起来，但封闭量子系统是统一进化的，并保持冯·诺伊曼熵，这使得不可逆性的起源不那么明显。本文建立了一个不去定理，证明了封闭量子系统中未知状态的相关性不能被任何物理操作普遍消除。这一结果表明相关性的产生具有内在的不可逆性，为时间之箭提供了微观和普遍的依据。在热力学环境中，这种不可逆性确保热量自发地从较热的子系统流向较冷的子系统，再现了克劳修斯第二定律的公式。更一般地说，相关性的不可逆增长解释了熵的增加、接近平衡和退相干作为同一原理的可观察表现。我们的发现奠定了热力学第二定律的量子力学基础，并证明了时间之箭的普遍性。

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引用次数: 0

Vibrational and rotational excited states within a Bohr Hamiltonian with energy-dependent Davidson potential and deformation-dependent mass formalisms 具有能量依赖的戴维森势和变形依赖的质量形式的玻尔哈密顿量中的振动和旋转激发态

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2025-12-03 DOI: 10.1016/j.aop.2025.170292

S. Baid , A. Lahbas , M. Oulne

We extend our previously developed approach combining an energy-dependent Davidson potential with deformation-dependent mass formalism from

γ

-unstable to axially symmetric prolate-deformed nuclei within the Bohr Hamiltonian. The model is applied to analyze the collective properties of 62 nuclei (13 actinides and 49 rare earth nuclei). The theoretical framework employs four adjustable parameters that are optimized through least-squares fitting to experimental energy levels. Particular attention is given to the N = 90 isotones (¹⁵⁰Nd, ¹⁵²Sm, ¹⁵⁴Gd, and ¹⁵⁶Dy), which are considered the best candidates of X(5) critical point symmetry. Our results demonstrate significant improvements over previous approaches, particularly in addressing the overestimation of

β

-band level spacings characteristic of the traditional Davidson potential. Analysis of effective potentials reveals distinctive signatures of criticality through deeper potential wells for 0

_{β}^{+}

states and enhanced separation between the ground and

γ

band-head state minima. The model also provides satisfactory predictions for B(E2) transition ratios, though with a tendency to overestimate interband transitions. These results suggest that the combination of energy dependence and deformation-dependent mass offers a more comprehensive framework for describing nuclear collective properties in transitional regions.

我们扩展了先前开发的方法，将能量依赖的戴维森势与变形依赖的质量形式结合起来，从γ-不稳定到玻尔哈密顿量内的轴对称长形变形核。应用该模型分析了62个原子核（13个锕系原子核和49个稀土原子核）的集体性质。理论框架采用四个可调参数，通过最小二乘拟合实验能级进行优化。特别注意的是N = 90等色（150Nd, 152Sm， 154Gd和156Dy），它们被认为是X(5)临界点对称的最佳候选者。我们的研究结果表明，与以前的方法相比，我们的方法有了显著的改进，特别是在解决传统戴维森势的β波段水平间隔特征的高估方面。有效电位分析表明，0β+态电位井越深，基带和γ带头态最小值之间的分离越强，具有明显的临界特征。该模型还提供了令人满意的B（E2）跃迁比预测，尽管有高估带间跃迁的倾向。这些结果表明，能量依赖和变形依赖质量的结合为描述过渡区核集体性质提供了一个更全面的框架。

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引用次数: 0

Photo-induced directional transport in extended SSH chains 扩展SSH链中的光诱导定向传输

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2025-12-02 DOI: 10.1016/j.aop.2025.170317

Usham Harish Kumar Singha , Kallol Mondal , Sudin Ganguly , Santanu K. Maiti

We investigate the current–voltage characteristics of an extended Su–Schrieffer–Heeger (SSH) chain under irradiation by arbitrarily polarized light, demonstrating its potential as a light-controlled rectifier. Irradiation of light induces anisotropy in the system, enabling directional current flow and active control of rectification behavior. Our analysis demonstrates that, under optimized light parameters, the rectification efficiency can exceed 90%. Moreover, the direction of rectification – whether positive or negative – can be precisely controlled by varying the polarization of the light, highlighting the potential for external optical control of electronic behavior. The effect of light irradiation is incorporated using the Floquet–Bloch ansatz combined with the minimal coupling scheme, while charge transport is computed through the nonequilibrium Green’s function formalism within the Landauer–Büttiker framework.

我们研究了任意偏振光照射下延伸的Su-Schrieffer-Heeger （SSH）链的电流-电压特性，证明了它作为光控整流器的潜力。光的照射引起系统的各向异性，使定向电流流动和整流行为的主动控制成为可能。我们的分析表明，在优化的光参数下，整流效率可以超过90%。此外，整流方向——无论是正的还是负的——可以通过改变光的偏振来精确控制，突出了外部光学控制电子行为的潜力。光照射的影响采用Floquet-Bloch ansatz结合最小耦合方案，而电荷输运则通过landauer - b ttiker框架内的非平衡格林函数形式计算。

引用次数: 0

Light mass Galileon: Phase space analysis and its late time cosmic relevance 轻质量伽利略：相空间分析及其后期宇宙相关性

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2025-12-02 DOI: 10.1016/j.aop.2025.170315

Yerlan Myrzakulov , Mohd Shahalam , Shynaray Myrzakul , Koblandy Yerzhanov

We investigate the Galileon scalar field model by considering the lowest order Galileon term in the Lagrangian,

{(\partial_{μ} ϕ)}^{2} □ ϕ

through the introduction of a field potential. We explore the late-time cosmological development of light mass Galileon utilizing two different forms for

V (ϕ)

, specifically the double exponential and Quintessence-Driven Slow-Contraction CDM potentials. We identify the critical points and assess their stability for these models. Our findings indicate that the light mass Galileon with double exponential potential facilitates the attainment of a stable attractor solution, while a stable solution is unattainable in the scenario of light mass Galileon with Quintessence-Driven Slow-Contraction CDM potential. Furthermore, in the former case, we derive a phase portrait in which all trajectories converge towards the stable attractor point.

我们通过引入场势，考虑拉格朗日量（∂μϕ）2□ϕ中的最低阶伽利略项，研究了伽利略标量场模型。我们利用V（φ）的两种不同形式，特别是双指数和精髓驱动的慢收缩CDM势，探索轻质量伽利略的晚时间宇宙学发展。我们确定了这些模型的临界点并评估了它们的稳定性。我们的研究结果表明，具有双指数势的轻质量Galileon有助于获得稳定的吸引子解，而具有精素驱动的慢收缩CDM势的轻质量Galileon则无法获得稳定的吸引子解。此外，在前一种情况下，我们导出了所有轨迹向稳定吸引点收敛的相画像。

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引用次数: 0

Off-diagonal solutions in Einstein gravity modeling f(R) gravity and dynamical dark energy vs ΛCDM cosmology 爱因斯坦引力模型f(R)引力和动态暗能量与ΛCDM宇宙学的非对角线解

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2025-12-01 DOI: 10.1016/j.aop.2025.170303

Sergiu I. Vacaru

Modified gravity theories (MGTs) have long been studied as alternatives to general relativity (GR) and the standard

Λ

CDM cosmological model. For example, exponential

f (R)

models often yield better fits to observational data, suggesting that

Λ

CDM may be inadequate. In this work, we argue that the gravitational and accelerating cosmology paradigm can remain close to GR and

Λ

CDM if one considers broader classes of off-diagonal cosmological solutions of the Einstein equations. These solutions are constructed using the anholonomic frame and connection deformation method (AFCDM), which enables the decoupling and integration of nonlinear systems in nonholonomic dyadic variables with connection distortions. The resulting off-diagonal Einstein manifolds and cosmological models are characterized by nonholonomic constraints, nonlinear symmetries, and effective cosmological constants. Such structures allow one to approximate cosmological effects, mimic features of MGTs, and describe gravitational polarization, local anisotropies, and dark energy and dark matter phenomena within GR. We further show that these models can be endowed with relativistic versions of Perelman’s thermodynamic variables for geometric flows, which we compute in general form for accelerating cosmology.

修正引力理论（MGTs）作为广义相对论（GR）和标准ΛCDM宇宙学模型的替代品已经研究了很长时间。例如，指数f(R)模型通常能更好地拟合观测数据，这表明ΛCDM可能是不充分的。在这项工作中，我们认为，如果考虑爱因斯坦方程的更广泛的非对角线宇宙学解，引力和加速宇宙学范式可以保持接近GR和ΛCDM。这些解是用非完整框架和连接变形法（AFCDM）构造的，它使得非线性系统在具有连接畸变的非完整并矢变量中解耦和积分成为可能。由此产生的非对角爱因斯坦流形和宇宙学模型具有非完整约束、非线性对称性和有效宇宙学常数的特征。这样的结构允许人们近似宇宙效应，模拟mgt的特征，并描述GR中的引力极化，局部各向异性以及暗能量和暗物质现象。我们进一步表明，这些模型可以赋予几何流的Perelman热力学变量的相对论版本，我们以加速宇宙学的一般形式计算这些变量。

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引用次数: 0