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Testing strong gravitational field using the Johannsen–Psaltis metric: Bondi–Hoyle–Lyttleton accretion model and QPO studies 使用Johannsen-Psaltis度量测试强引力场:Bondi-Hoyle-Lyttleton吸积模型和QPO研究
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-03-01 Epub Date: 2026-01-12 DOI: 10.1016/j.aop.2026.170350
Orhan Donmez , Sardor Murodov , Javlon Rayimbaev
<div><div>Testing the Kerr spacetime solution of general relativity (GR) has increasingly become a requirement with the recent observations of black hole shadows and gravitational waves. In this context, we examine the physical properties of the shock cone formed by Bondi–Hoyle–Lyttleton (BHL) accretion around a black hole or a naked singularity using the Johannsen–Psaltis (JP) metric, and compare them with those of the Kerr metric solution. We demonstrate how these properties vary with the metric’s deviation parameter (<span><math><mi>η</mi></math></span>). We find that when <span><math><mrow><mi>a</mi><mo>/</mo><mi>M</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>9</mn></mrow></math></span> and a black hole is formed for <span><math><mrow><mi>η</mi><mo><</mo><mn>0</mn></mrow></math></span>, as the deviation parameter decreases, the opening angle of the resulting cone becomes smaller, leading to a shift of the resulting quasi-periodic oscillations (QPOs) from low to high frequencies. On the other hand, for <span><math><mrow><mi>η</mi><mo>></mo><mn>0</mn></mrow></math></span>, it is observed that the shock cone forms around the naked singularity at small values of <span><math><mi>η</mi></math></span>. Furthermore, at large <span><math><mi>η</mi></math></span> values, the cone evolves into a torus-like structure under the influence of the strong gravitational field. In the case of <span><math><mrow><mrow><mo>|</mo><mi>η</mi><mo>|</mo></mrow><mo>∼</mo><mn>8</mn></mrow></math></span>, perfect harmonicity is observed, along with possible resonances such as the 3:2 ratio, consistent with observations. Additionally, for the case of a slowly rotating black hole (<span><math><mrow><mi>a</mi><mo>/</mo><mi>M</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>4</mn></mrow></math></span>), a behavior resembling the bending of the shock cone due to the curvature of spacetime in the presence of a strong gravitational field is also observed at large <span><math><mi>η</mi></math></span> values, similar to what is observed when the spin parameter of the Kerr black hole is <span><math><mrow><mi>a</mi><mo>/</mo><mi>M</mi><mo>≥</mo><mn>0</mn><mo>.</mo><mn>9</mn></mrow></math></span>. Finally, we have calculated fundamental frequencies to investigate QPOs around rotating JP black holes. We use Markov Chain Monte Carlo (MCMC) analyses to obtain constrained values for the black hole mass, spacetime deformation, and QPO orbits around black hole candidates at the center of the Milky Way and M82 galaxies, and microquasars XTE J1550, GRO J1655-40,& GRS 1915-105, using QPO data observed in them. Overall, the JP metric with moderate deviation (<span><math><mrow><mrow><mo>|</mo><mi>η</mi><mo>|</mo></mrow><mo>≈</mo><mn>8</mn></mrow></math></span>) is more consistent with the observed QPO frequencies and resonance structures than the pure Kerr metric, suggesting that small deviations from Kerr spacetime may more accurately describe strong field gravity around astrophysical black holes.</di
随着近年来对黑洞阴影和引力波的观测,检验广义相对论(GR)的克尔时空解日益成为一种需求。在这种情况下,我们使用Johannsen-Psaltis (JP)度规研究了黑洞或裸奇点周围Bondi-Hoyle-Lyttleton (BHL)吸积形成的激波锥的物理性质,并将其与Kerr度规解的物理性质进行了比较。我们演示了这些性质如何随度量的偏差参数(η)而变化。我们发现,当a/M=0.9, η<;0形成黑洞时,随着偏差参数的减小,产生的锥开口角变小,导致产生的准周期振荡(QPOs)由低频向高频偏移。另一方面,当η>;0时,在较小的η值处,激波锥在裸奇点周围形成。当η值较大时,锥体在强引力场作用下演化为环面结构。在|η| ~ 8的情况下,观测到完美的谐波,以及可能的共振,如3:2的比例,与观测结果一致。此外,对于缓慢旋转的黑洞(a/M=0.4),在大η值下也观察到类似于激波锥由于时空曲率在强引力场下的弯曲行为,类似于克尔黑洞自旋参数为a/M≥0.9时观察到的现象。最后,我们计算了基频来研究旋转JP黑洞周围的qpo。利用观测到的QPO数据,利用Markov Chain Monte Carlo (MCMC)分析方法,获得了银河系和M82星系中心候选黑洞以及微类星体XTE J1550、GRO J1655-40和GRS 15% -105周围的黑洞质量、时空变形和QPO轨道的约束值。总体而言,中等偏差(|η|≈8)的JP度规比纯Kerr度规更符合观测到的QPO频率和共振结构,这表明与Kerr时空的小偏差可能更准确地描述天体物理黑洞周围的强场引力。
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引用次数: 0
Tidal deformability and compactness of neutron stars and massive pulsars from semi-microscopic equations of state 从半微观状态方程看中子星和大质量脉冲星的潮汐变形性和致密性
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-03-01 Epub Date: 2026-01-16 DOI: 10.1016/j.aop.2026.170349
W.M. Seif , A.S. Hashem
Tidal deformability measures how NS can comfortably deform as a response to an applied tidal field. We use updated constraints on the mass, radius, and tidal deformability of neutron star (NS) objects and pulsars to examine nuclear equations of state (EOS) based on realistic finite-range M3Y nucleon–nucleon interaction, which have been successfully used to describe low- and high-dense nuclear matter (NM). We then employ these EOSs to examine the impact of tidal deformability and compactness of NSs on their structure. We found that the EOSs from CDM3Y-230 to CDM3Y-330 characterized with the saturation incompressibility K0=230330MeV together yield more limited ranges of tidal deformability and radius for NS objects than their observational inferred ranges. For light NS (M<M), both k2 and C decreases upon decreasing the NS mass, which enhances its tidal deformability. The stiffness of the NS core matter has shown a minor effect on the tidal deformability of such NS (M<M). An opposite behavior is obtained as an increase in the tidal Love number but a decrease in the more effective compactness of NS (M>M), upon increasing (decreasing) the stiffness of the employed EOS (its mass). This appears as enhanced tidal deformability indicated at a larger radius for NS of stiffer NM and for the lighter NS above M. Unified description of some correlations between tidal deformability, tidal Love number, and NS compactness is provided independent of the details of the considered EOS.
潮汐可变形性测量如何NS可以舒适地变形作为一个应用潮汐场的响应。我们使用中子星(NS)和脉冲星的质量、半径和潮汐变形能力的最新约束来检验基于实际有限范围M3Y核子-核子相互作用的核状态方程(EOS),这些方程已成功地用于描述低密度和高密度核物质(NM)。然后,我们使用这些EOSs来检查NSs的潮汐变形性和密实度对其结构的影响。我们发现,从CDM3Y-230到CDM3Y-330的饱和不可压缩率K0=230 ~ 330MeV的eos共同产生的NS物体的潮汐变形能力和半径范围比观测推断的范围更有限。对于轻NS (M<M⊙),k2和C随NS质量的减小而减小,增强了NS的潮汐变形能力。地核物质的刚度对这种地核的潮汐变形能力影响不大(M<M⊙)。当所使用的EOS(其质量)的刚度增加(减少)时,潮汐Love数增加但NS (M>M⊙)的更有效紧致度减少,从而获得相反的行为。这表现为潮汐变形能力的增强,在较硬的纳米粒子和较轻的纳米粒子上,其半径更大。提供了潮汐变形性、潮汐Love数和NS紧致度之间的一些相关性的统一描述,而不依赖于所考虑的EOS的细节。
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引用次数: 0
Kirkwood–Dirac quasiprobabilities for measurements assigned to a projective two-design 投影双设计测量的Kirkwood-Dirac准概率
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-03-01 Epub Date: 2026-01-07 DOI: 10.1016/j.aop.2026.170345
Alexey E. Rastegin
Kirkwood–Dirac quasiprobabilities are currently the subject of active studies. Such quasiprobabilities often give more convenient descriptions of measurement statistics. It is an alternative to the Wigner function. Methods of quantum information science use generalized measurements. Overcomplete sets of states are inevitable for these purposes. Here, complex projective two-designs are of certain interest. They include symmetric informationally complete measurements and complete sets of mutually unbiased bases. This study examines Kirkwood–Dirac quasiprobabilities for induced quantum measurements. It estimates norms and anti-norms of the matrices consisting of quasiprobabilities. Entropic uncertainty relations appear for unravelings of the corresponding quantum channels. Qubit examples of projective designs show the usefulness of the presented inequalities.
柯克伍德-狄拉克准概率目前是活跃研究的主题。这种准概率通常给测量统计提供更方便的描述。它是Wigner函数的替代品。量子信息科学的方法使用广义测量。出于这些目的,状态的过完备集是不可避免的。在这里,复杂的投影双设计具有一定的趣味性。它们包括对称信息完备的测量和相互无偏基的完备集。本研究探讨了诱导量子测量的柯克伍德-狄拉克准概率。它估计了由拟概率组成的矩阵的范数和反范数。熵不确定性关系出现在相应量子通道的解旋中。投影设计的量子位例子显示了所提出的不等式的有用性。
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引用次数: 0
Exact state evolution and energy spectrum in solvable bosonic models 可解玻色子模型中的精确状态演化和能谱
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-03-01 Epub Date: 2026-01-03 DOI: 10.1016/j.aop.2026.170342
Valery Shchesnovich
Solvable bosonic models provide a fundamental framework for describing light propagation in nonlinear media, including optical down-conversion processes that generate squeezed states of light and their higher-order generalizations. In quantum optics a central objective is to determine the time evolution of a given initial state. Exact analytic solution to the state-evolution problem is presented, applicable to a broad class of solvable bosonic models and arbitrary initial states. Moreover, the characteristic equation governing the energy spectrum is derived and the eigenstates are found in the form of continued fractions and as the principal minors of the associated Jacobi matrix. The results provide a solid analytical framework for discussion of exactly solvable bosonic models.
可解玻色子模型为描述光在非线性介质中的传播提供了一个基本框架,包括产生光压缩态的光下转换过程及其高阶推广。在量子光学中,一个中心目标是确定给定初始状态的时间演化。给出了状态演化问题的精确解析解,该解适用于广泛的可解玻色子模型和任意初始状态。此外,导出了控制能谱的特征方程,并以连分式的形式和相关雅可比矩阵的主次阵形式找到了特征态。结果为讨论精确可解玻色子模型提供了一个坚实的分析框架。
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引用次数: 0
Exact solvability of entanglement for arbitrary initial state in an infinite-range Floquet system 无限范围Floquet系统任意初始态纠缠的精确可解性
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-03-01 Epub Date: 2025-12-30 DOI: 10.1016/j.aop.2025.170327
Harshit Sharma, Udaysinh T. Bhosale
We study an N-spin Floquet model with infinite-range Ising interactions and derive the general formula to calculate the single-qubit reduced density matrix and its linear entropy and entanglement entropy for any N,J and τ. For systems up to 10 qubits, we analytically obtain the eigensystem, entanglement measures, and time-averaged linear entropy for arbitrary initial states |θ0,ϕ0 and special values of J and τ=π/4. For a special class of initial states and specific values of J, the model was studied in earlier work. Here, we generalize those results to arbitrary initial states. We numerically find that the average concurrence decreases with N, implying multipartite nature of entanglement. We numerically show that for both single-qubit and half-bipartitaion cases SVN/SMax1, when J1,1/2 indicating non-integrability. Whereas for J=1 and 1/2, it deviates from 1, indicating integrability. In integrable cases, depth in entanglement grows with partition size. Possible experimental realizations are discussed.
研究了具有无限范围Ising相互作用的N-自旋Floquet模型,推导了任意N,J和τ的单量子比特约化密度矩阵及其线性熵和纠缠熵的一般计算公式。对于最多10个量子比特的系统,我们解析地获得了任意初始状态|θ0, 0 >以及J和τ=π/4的特殊值的特征系统,纠缠度量和时间平均线性熵。对于一类特殊的初始状态和特定的J值,先前的工作研究了该模型。这里,我们把这些结果推广到任意初始状态。我们在数值上发现,平均并发度随N的增加而减小,暗示了纠缠的多部性。我们数值证明了对于单量子位和半双分情况,当J≠1时,< SVN > /SMax→1,1/2表示不可积性。而对于J=1又1/2,它偏离1,表示可积性。在可积的情况下,纠缠的深度随着分区的大小而增长。讨论了可能的实验实现。
{"title":"Exact solvability of entanglement for arbitrary initial state in an infinite-range Floquet system","authors":"Harshit Sharma,&nbsp;Udaysinh T. Bhosale","doi":"10.1016/j.aop.2025.170327","DOIUrl":"10.1016/j.aop.2025.170327","url":null,"abstract":"<div><div>We study an <span><math><mi>N</mi></math></span>-spin Floquet model with infinite-range Ising interactions and derive the general formula to calculate the single-qubit reduced density matrix and its linear entropy and entanglement entropy for any <span><math><mrow><mi>N</mi><mo>,</mo><mi>J</mi></mrow></math></span> and <span><math><mi>τ</mi></math></span>. For systems up to 10 qubits, we analytically obtain the eigensystem, entanglement measures, and time-averaged linear entropy for arbitrary initial states <span><math><mrow><mo>|</mo><msub><mrow><mi>θ</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>,</mo><msub><mrow><mi>ϕ</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>〉</mo></mrow></math></span> and special values of <span><math><mi>J</mi></math></span> and <span><math><mrow><mi>τ</mi><mo>=</mo><mi>π</mi><mo>/</mo><mn>4</mn></mrow></math></span>. For a special class of initial states and specific values of <span><math><mi>J</mi></math></span>, the model was studied in earlier work. Here, we generalize those results to arbitrary initial states. We numerically find that the average concurrence decreases with <span><math><mi>N</mi></math></span>, implying multipartite nature of entanglement. We numerically show that for both single-qubit and half-bipartitaion cases <span><math><mrow><mrow><mo>〈</mo><msub><mrow><mi>S</mi></mrow><mrow><mi>V</mi><mi>N</mi></mrow></msub><mo>〉</mo></mrow><mo>/</mo><msub><mrow><mi>S</mi></mrow><mrow><mi>M</mi><mi>a</mi><mi>x</mi></mrow></msub><mo>→</mo><mn>1</mn></mrow></math></span>, when <span><math><mrow><mi>J</mi><mo>≠</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>/</mo><mn>2</mn></mrow></math></span> indicating non-integrability. Whereas for <span><math><mrow><mi>J</mi><mo>=</mo><mn>1</mn></mrow></math></span> and <span><math><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></math></span>, it deviates from 1, indicating integrability. In integrable cases, depth in entanglement grows with partition size. Possible experimental realizations are discussed.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"486 ","pages":"Article 170327"},"PeriodicalIF":3.0,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145883113","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Yukawa black holes in modified gravity: From thermodynamics to particle collisions 修正引力下的汤川黑洞:从热力学到粒子碰撞
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-03-01 Epub Date: 2026-01-08 DOI: 10.1016/j.aop.2025.170332
Isomiddin Nishonov , Bekzod Rahmatov , Saeed Ullah Khan , Muhammad Zahid , Javlon Rayimbaev , Inomjon Ibragimov , Erkaboy Davletov
We explore the strong-field effects of a screened dark-sector interaction by embedding a Yukawa-type scalar field in Scalar–Tensor–Vector Gravity (MOG) and constructing a static, spherically symmetric black hole solution. Building on this geometry, we develop a consistent thermodynamic description and obtain analytic expressions for the Hawking temperature, entropy, and heat capacity. The resulting phase structure identifies parameter windows where the black hole is locally stable and loci where instabilities or transitions may occur. We then study equatorial geodesics and circular motion, deriving the effective potential, the specific energy and angular momentum at circular orbits, and the innermost stable circular orbits (ISCOs). The Yukawa screening scale and coupling, in conjunction with the MOG parameter, yield systematic shifts in the ISCO radius and binding energy relative to general relativity and the unscreened MOG. Finally, we evaluated the center-of-mass energy for two-particle collisions near the event horizon. We show how screened interactions alter the attainable collision energy spectra, particularly the near-horizon enhancement. Thermodynamic, orbital, and collisional analyses provide insight into deviations induced by the Yukawa field. We discuss how these effects can be leveraged as observables to test screened dark-sector interactions and the viability of MOG in astrophysical black-hole systems.
我们通过在标量-张量-矢量引力(MOG)中嵌入yukawa型标量场并构造静态球对称黑洞解来探索屏蔽暗扇区相互作用的强场效应。在此基础上,我们建立了一致的热力学描述,并获得了霍金温度、熵和热容的解析表达式。由此产生的相位结构确定了黑洞局部稳定的参数窗口和可能发生不稳定或转变的位点。然后,我们研究了赤道测地线和圆周运动,推导了有效势、比能量和在圆轨道上的角动量,以及最内层稳定圆轨道(ISCOs)。Yukawa筛选尺度和耦合,连同MOG参数,产生了相对于广义相对论和未筛选MOG的ISCO半径和结合能的系统性变化。最后,我们评估了视界附近两粒子碰撞的质心能量。我们展示了筛选的相互作用如何改变可获得的碰撞能谱,特别是近视界增强。热力学、轨道和碰撞分析提供了对汤川油田引起的偏差的深入了解。我们讨论了如何利用这些效应作为可观测物来测试筛选的暗物质相互作用和天体物理黑洞系统中MOG的可行性。
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引用次数: 0
Floquet-driven tunneling control in monolayer MoS2 基于小波驱动的单层MoS2隧道控制
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-03-01 Epub Date: 2026-01-08 DOI: 10.1016/j.aop.2026.170348
Rachid El Aitouni , Aotmane En Naciri , Clarence Cortes , David Laroze , Ahmed Jellal
We study how fermions in molybdenum disulfide MoS2 interact with a laser field and a static potential barrier, focusing on the transmission probability. Our aim is to understand and control photon-assisted quantum transport in this two-dimensional material under external driving. We use the Floquet approximation to describe the wave functions in the three regions of the system. By applying continuity conditions at the boundaries, we obtain a set of equations involving an infinite number of Floquet modes. We explicitly determine transmissions involving the central band E and the first sidebands E±ħω. As for higher-order bands, we use the transfer matrix approach together with current density to compute the associated transmissions. Our results reveal that the transmission probability oscillates for both spin-up and spin-down electrons. The oscillations of spin-down electrons occur over nearly twice the period of spin-up electrons. Among all bands, the central one consistently shows the highest transmission. We also find that stronger laser fields and wider barriers both lead to reduced transmission. Moreover, laser irradiation enables controllable channeling and filtering of transmission bands by tuning the laser intensity and system parameters. This highlights the potential of laser-driven MoS2 structures for highly sensitive electromagnetic sensors and advanced optoelectronic devices.
研究了二硫化钼MoS2中的费米子与激光场和静态势垒的相互作用,重点研究了传输概率。我们的目标是在外部驱动下理解和控制这种二维材料中的光子辅助量子输运。我们用Floquet近似来描述系统三个区域中的波函数。通过在边界处应用连续性条件,得到了一组包含无穷多个Floquet模态的方程。我们明确地确定涉及中心带E和第一边带E±ħω的传输。对于高阶波段,我们采用传输矩阵法结合电流密度计算相关传输。我们的结果表明,自旋向上和自旋向下的电子的透射概率都是振荡的。自旋向下电子的振荡周期几乎是自旋向上电子的两倍。在所有波段中,中心波段始终显示出最高的传输率。我们还发现,更强的激光场和更宽的屏障都会导致透射率降低。此外,激光照射可以通过调节激光强度和系统参数实现传输波段的可控通道和滤波。这突出了激光驱动的二硫化钼结构在高灵敏度电磁传感器和先进光电器件中的潜力。
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引用次数: 0
Path-integral formulation of bosonic Markovian open quantum dynamics with Monte Carlo stochastic trajectories using the Glauber–Sudarshan P, Wigner, and Husimi Q functions and hybrids 使用Glauber-Sudarshan P, Wigner和Husimi Q函数和杂化的蒙特卡洛随机轨迹的玻色子马尔可夫开放量子动力学的路径积分公式
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-02-01 Epub Date: 2025-12-16 DOI: 10.1016/j.aop.2025.170325
Toma Yoneya , Kazuya Fujimoto , Yuki Kawaguchi
The Monte Carlo trajectory sampling of stochastic differential equations based on the quasiprobability distribution functions, such as the Glauber–Sudarshan P, Wigner, and Husimi Q functions, enables us to investigate bosonic open quantum many-body dynamics described by the Gorini–Kossakowski–Sudarshan–Lindblad (GKSL) equation. In this method, the Monte Carlo samplings for the initial distribution and stochastic noises incorporate quantum fluctuations, and thus, we can go beyond the mean-field approximation. However, description using stochastic differential equations is possible only when the corresponding Fokker–Planck equation has a positive-semidefinite diffusion matrix. In this work, we analytically derive the stochastic differential equations for arbitrary Hamiltonian and jump operators based on the path-integral formula, independently of the derivation of the Fokker–Planck equation. In the course of the derivation, we formulate the path-integral representation of the GKSL equation by using the s-ordered quasiprobability distribution function, which systematically describes the aforementioned quasiprobability distribution functions by changing the real parameter s. The essential point of this derivation is that we employ the Hubbard–Stratonovich transformation in the path integral, and its application is not always feasible. We find that the feasible condition of the Hubbard–Stratonovich transformation is identical to the positive-semidefiniteness condition of the diffusion matrix in the Fokker–Planck equation. In the benchmark calculations, we confirm that the Monte Carlo simulations of the obtained stochastic differential equations well reproduce the exact dynamics of physical quantities and non-equal time correlation functions of numerically solvable models, including the Bose–Hubbard model. This work clarifies the applicability of the approximation and gives systematic and simplified procedures to obtain the stochastic differential equations to be numerically solved.
基于准概率分布函数(如Glauber-Sudarshan P、Wigner和Husimi Q函数)的随机微分方程的蒙特卡罗轨迹抽样,使我们能够研究由Gorini-Kossakowski-Sudarshan-Lindblad (GKSL)方程描述的玻色子开放量子多体动力学。在该方法中,初始分布和随机噪声的蒙特卡罗采样包含了量子涨落,因此,我们可以超越平均场近似。然而,只有当相应的Fokker-Planck方程具有正半定扩散矩阵时,才能使用随机微分方程进行描述。在这项工作中,我们基于路径积分公式解析地导出了任意哈密顿算子和跳跃算子的随机微分方程,而不依赖于Fokker-Planck方程的推导。在推导过程中,我们用s阶准概率分布函数来表示GKSL方程的路径积分表达式,该函数通过改变实参数s来系统地描述上述准概率分布函数。该推导的关键在于我们在路径积分中使用了hubard - stratonovich变换,其应用并不总是可行的。我们发现hubard - stratonovich变换的可行条件与Fokker-Planck方程中扩散矩阵的正半定条件相同。在基准计算中,我们证实了所得到的随机微分方程的蒙特卡罗模拟很好地再现了数值可解模型(包括Bose-Hubbard模型)的物理量和非等时间相关函数的精确动态。本文阐明了近似的适用性,并给出了系统的、简化的方法来求得待数值解的随机微分方程。
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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 Pub Date : 2026-02-01 Epub 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 ΛCDM cosmological model. For example, exponential f(R) models often yield better fits to observational data, suggesting that ΛCDM may be inadequate. In this work, we argue that the gravitational and accelerating cosmology paradigm can remain close to GR and ΛCDM 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
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 : 2026-02-01 Epub 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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