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Critical points and their cosmological interpretations for some f(Q) gravity theory models 某些f(Q)引力理论模型的临界点及其宇宙学解释
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-10-28 DOI: 10.1016/j.aop.2025.170272
Subhajit Pal , Atanu Mukherjee , Ritabrata Biswas , Farook Rahaman
In f(Q) theory of gravity, gravitational effect arises from non-metricity which controls how measurements of time and distance evolve over space–time. If a clock or a ruler is moved around in a space–time with nonzero Q, it would change the size or the ticking rate even if curvature and torsion are zero. This change comes purely from how the metric varies, not from bending (curvature) or twisting (torsion). Four models of f(Q) theory of gravity are chosen
: f(1)(Q)=Q+mQn, f(2)(Q)=QeλQ, f(3)(Q)=Q+αQ2+vQ2logQ and f(4)(Q)=Q+nQ0QλlogλQ0Q.
Equation of continuity and Friedmann equations are modified for these theories. Phase portraits are drawn with proper marking towards the fixed points. Physical interpretation of every such critical points along with center manifold analysis is pursued. Cosmological perspectives to obtain such critical points are presented for each model.
在f(Q)引力理论中,引力效应产生于非度规性,它控制着时间和距离的测量如何在时空中演化。如果一个时钟或尺子在一个Q不为零的时空中移动,即使曲率和扭转为零,它也会改变大小或滴答率。这种变化纯粹来自度规的变化,而不是来自弯曲(曲率)或扭转(扭转)。选取了f(Q)引力理论的四种模型:f(1)(Q)=Q+mQn, f(2)(Q)=Q - λQ, f(3)(Q)=Q+αQ2+vQ2logQ和f(4)(Q)=Q+ nq0q - λlogλ q0q。对连续性方程和弗里德曼方程进行了修正。对固定点进行适当的标记,绘制相位肖像。每一个这样的临界点的物理解释以及中心流形分析被追求。每个模型都给出了获得这些临界点的宇宙学观点。
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引用次数: 0
Efficiency of the superconducting diode effect of pair-density-wave states in two-dimensional d-wave altermagnets 二维d波交替磁体中对密度波态超导二极管效应的效率
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-10-24 DOI: 10.1016/j.aop.2025.170273
Igor de M. Froldi, Hermann Freire
We systematically study the efficiency of the intrinsic superconducting diode effect of several pair-density-wave states that can emerge in two-dimensional d-wave metallic altermagnets. To this end, we investigate several scenarios using an effective minimal microscopic model and Ginzburg–Landau analysis in order to derive the corresponding pairing phase diagrams. In addition, we examine also whether the presence of a Rashba spin–orbit coupling and an applied external magnetic field are beneficial to this effect in these systems. As a consequence, our results add further support to the fact that altermagnetic materials indeed provide a good platform for the pursuit of finite-momentum superconductivity, which can lead to an optimization of the diode efficiency in some physically interesting situations. The latter phenomenon has been recently proposed to be key in improving the applicability of new energy-efficient quantum electronic devices.
我们系统地研究了二维d波金属互磁体中可能出现的几种对密度波态的本征超导二极管效应的效率。为此,我们使用有效最小微观模型和金兹堡-朗道分析研究了几种情况,以得出相应的配对相图。此外,我们还研究了Rashba自旋轨道耦合和外加磁场的存在是否有利于这些系统的这种效应。因此,我们的结果进一步支持了这样一个事实,即电磁材料确实为追求有限动量超导性提供了一个很好的平台,这可以在一些物理上有趣的情况下导致二极管效率的优化。后一种现象最近被认为是提高新型节能量子电子器件适用性的关键。
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引用次数: 0
Cosmic reverberations on a constrained f(Q,T)-model of the Universe 宇宙的受限f(Q,T)模型上的宇宙混响
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-10-23 DOI: 10.1016/j.aop.2025.170274
Akanksha Singh , Shaily , J.K. Singh , Ertan Güdekli
In this paper, we construct an isotropic cosmological model in the f(Q,T) theory of gravity in the frame of a flat FLRW spacetime, with Q the non-metricity tensor and T the trace of the energy–momentum tensor. The gravity function is taken to be a quadratic equation, f(Q,T)=ζQ2+γT, where ζ<0 and γ are the arbitrary constants. We constrain the model parameters α arising while solving the deceleration parameter q as an integration constant together with the present value of the Hubble parameter H0 using the Hubble datasets (OHD), the Pantheon of 1048 data points, and the joint datasets (OHD + Pantheon). The universe model transitions from an early deceleration state to an acceleration in late times. This model also provides the ekpyrotic phase of the universe on the redshift z>12.32. In this model, the Big Bang is described as a collision of branes, and thus, the Big Bang is not the beginning of time. Before the Big Bang, there is an ekpyrotic phase with the equation of state ω>>1. In late times, the undeviating Hubble measurements reduce the H0 tension in the reconstructed f(Q,T) function. Additionally, we study various physical parameters of the model. Finally, our model describes a quintessence dark energy model at later times.
在平坦FLRW时空框架下,我们在f(Q,T)引力理论中构造了一个各向同性宇宙学模型,其中Q为非度规张量,T为能量动量张量的轨迹。重力函数取为二次方程,f(Q,T)=ζQ2+γT,其中ζ<;0和γ为任意常数。我们使用哈勃数据集(OHD)、1048个数据点的Pantheon和联合数据集(OHD + Pantheon),将求解减速参数q时产生的模型参数α与哈勃参数H0的当前值一起约束为积分常数。宇宙模型从早期的减速状态过渡到后期的加速状态。该模型还提供了宇宙在红移z>;12.32上的热释相。在这个模型中,大爆炸被描述为膜的碰撞,因此,大爆炸不是时间的开始。在大爆炸之前,存在一个状态方程为ω>;>;1的热释相。在后期,不变的哈勃测量降低了重构f(Q,T)函数中的H0张力。此外,我们还研究了模型的各种物理参数。最后,我们的模型描述了后来一个典型的暗能量模型。
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引用次数: 0
Spectroscopy of charmonium-like mesons, heavy-light mesons with charm, AdS/QCD, and configurational entropy 类恰莫尼介子光谱学、重-轻粲介子光谱学、AdS/QCD光谱学和构型熵
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-10-23 DOI: 10.1016/j.aop.2025.170264
A.E. Bernardini , W. de Paula , R. da Rocha
Heavy-light-flavor meson resonances with charm, in the D0 and D families, and charmonium-like states, in the ηc and χc1 families, are explored and discussed in the AdS/QCD model with four quark flavors. The differential configurational entropy is computed and analyzed for these four charmed meson families, also combining 4-flavor AdS/QCD to experimental data for the D0, D, ηc, and χc1 meson families. It makes it possible to predict the mass spectrum of unexplored heavier charmed meson resonances and to identify further charmed meson states reported in PDG.
在具有四种夸克味的AdS/QCD模型中,我们探索并讨论了D0和D *族中具有粲态的重-轻味介子共振,以及ηc和χc1族中的类粲态。计算并分析了这4个粲介子族的微分构型熵,并将4-flavor AdS/QCD与D0、D *、ηc和χc1介子族的实验数据相结合。这使得预测未探测到的更重的粲介子共振的质谱和识别PDG中报道的更多的粲介子态成为可能。
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引用次数: 0
Observational constraints on Chaplygin gas models in non-minimally coupled power law f(Q) gravity with quasars 类星体非最小耦合幂律f(Q)引力条件下Chaplygin气体模型的观测约束
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-10-21 DOI: 10.1016/j.aop.2025.170266
Nakul Aggarwal , Ali Pourmand , Fatimah Shojai , Harish Parthasarathy
In the framework of f(Q) gravity, where gravity emerges from non-metricity Q, we explore the cosmological implications of its non-minimal coupling to matter. Inspired by the recent success of Chaplygin gas models in explaining dark energy, we consider a background fluid composed of baryonic matter, radiation, and a family of Chaplygin gas variants namely Generalized Chaplygin Gas (GCG), Modified Chaplygin Gas (MCG), and Variable Chaplygin Gas (VCG). We constrain these models with three recent observational datasets: Observational Hubble Data (OHD), Baryonic Acoustic Oscillation (BAO) measurements, and Quasi-Stellar Objects (QSO) data. For the QSO dataset, we propose an analytical expression for errors in comoving distance to circumvent the reliance on Monte Carlo simulations. Using kinematic diagnostics such as the deceleration and jerk parameters and Om diagnostic, we assess deviations of the proposed models from ΛCDM. Our joint analysis of the three datasets reveals that the transition redshift from a decelerated to an accelerated expansion of the universe for the GCG, MCG and VCG models is 0.6200.017+0.018, 0.5370.017+0.017 and 0.4700.012+0.012 respectively, indicating a departure from ΛCDM.
在f(Q)引力的框架中,引力是从非度规性Q中产生的,我们探索了它与物质的非最小耦合的宇宙学含义。受最近Chaplygin气体模型在解释暗能量方面的成功启发,我们考虑了一种由重子物质、辐射和Chaplygin气体变体家族组成的背景流体,即广义Chaplygin气体(GCG)、修正Chaplygin气体(MCG)和可变Chaplygin气体(VCG)。我们用三个最近的观测数据集来约束这些模型:哈勃观测数据(OHD)、重子声学振荡(BAO)测量数据和准恒星天体(QSO)数据。对于QSO数据集,我们提出了移动距离误差的解析表达式,以避免对蒙特卡罗模拟的依赖。使用运动学诊断,如减速和猛跳参数和Om诊断,我们评估从ΛCDM提出的模型的偏差。我们对三个数据集的联合分析表明,GCG, MCG和VCG模型从宇宙减速膨胀到加速膨胀的过渡红移分别为0.620−0.017+0.018,0.537−0.017+0.017和0.470−0.012+0.012,表明偏离ΛCDM。
{"title":"Observational constraints on Chaplygin gas models in non-minimally coupled power law f(Q) gravity with quasars","authors":"Nakul Aggarwal ,&nbsp;Ali Pourmand ,&nbsp;Fatimah Shojai ,&nbsp;Harish Parthasarathy","doi":"10.1016/j.aop.2025.170266","DOIUrl":"10.1016/j.aop.2025.170266","url":null,"abstract":"<div><div>In the framework of <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>Q</mi><mo>)</mo></mrow></mrow></math></span> gravity, where gravity emerges from non-metricity <span><math><mi>Q</mi></math></span>, we explore the cosmological implications of its non-minimal coupling to matter. Inspired by the recent success of Chaplygin gas models in explaining dark energy, we consider a background fluid composed of baryonic matter, radiation, and a family of Chaplygin gas variants namely Generalized Chaplygin Gas (GCG), Modified Chaplygin Gas (MCG), and Variable Chaplygin Gas (VCG). We constrain these models with three recent observational datasets: Observational Hubble Data (OHD), Baryonic Acoustic Oscillation (BAO) measurements, and Quasi-Stellar Objects (QSO) data. For the QSO dataset, we propose an analytical expression for errors in comoving distance to circumvent the reliance on Monte Carlo simulations. Using kinematic diagnostics such as the deceleration and jerk parameters and Om diagnostic, we assess deviations of the proposed models from <span><math><mi>Λ</mi></math></span>CDM. Our joint analysis of the three datasets reveals that the transition redshift from a decelerated to an accelerated expansion of the universe for the GCG, MCG and VCG models is <span><math><mrow><mn>0</mn><mo>.</mo><mn>62</mn><msubsup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>0</mn><mo>.</mo><mn>017</mn></mrow><mrow><mo>+</mo><mn>0</mn><mo>.</mo><mn>018</mn></mrow></msubsup></mrow></math></span>, <span><math><mrow><mn>0</mn><mo>.</mo><mn>53</mn><msubsup><mrow><mn>7</mn></mrow><mrow><mo>−</mo><mn>0</mn><mo>.</mo><mn>017</mn></mrow><mrow><mo>+</mo><mn>0</mn><mo>.</mo><mn>017</mn></mrow></msubsup></mrow></math></span> and <span><math><mrow><mn>0</mn><mo>.</mo><mn>47</mn><msubsup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>0</mn><mo>.</mo><mn>012</mn></mrow><mrow><mo>+</mo><mn>0</mn><mo>.</mo><mn>012</mn></mrow></msubsup></mrow></math></span> respectively, indicating a departure from <span><math><mi>Λ</mi></math></span>CDM.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"483 ","pages":"Article 170266"},"PeriodicalIF":3.0,"publicationDate":"2025-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145360159","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
Klein–Gordon equation within the real Hilbert space formalism 真实希尔伯特空间形式主义中的Klein-Gordon方程
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-10-21 DOI: 10.1016/j.aop.2025.170271
Cristiano Rosa , Sergio Giardino
Within this article one finds the statement of the Klein–Gordon problem within the real Hilbert space formalism (RHS) in terms of complex wave functions, and in terms of quaternionic wave functions as well. The complex formulation comprises hermitian and non-hermitian cases, while the quaternionic solutions additionally set in motion self-interacting particles. The non-hermitian cases comprise non-conservative processes, while the self-interaction physically implies the increase of the effective mass of the particle, an effect that cannot be reproduced using a complex wave function. The obtained autonomous particle solutions, as well as the Klein problem agree to the previously discovered self-interacting non-relativistic particle, and thus reinforce RHS as viable and consistent way to explore open problems in quantum mechanics. Also important, the negative energy problem that plagues the usual formalism is eliminated within this approach.
在这篇文章中,人们发现了真实希尔伯特空间形式主义(RHS)中关于复波函数和四元数波函数的Klein-Gordon问题的陈述。复公式包括厄米和非厄米情况,而四元数解另外设置运动的自相互作用粒子。非厄米情况包含非保守过程,而自相互作用在物理上意味着粒子有效质量的增加,这种效应不能用复波函数再现。所获得的自主粒子解,以及克莱因问题与先前发现的自相互作用的非相对论性粒子一致,从而加强了RHS作为探索量子力学开放问题的可行和一致的方法。同样重要的是,在这种方法中消除了困扰通常形式主义的负能量问题。
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引用次数: 0
Dark sector interactions: Probing the Hubble parameter and the sound horizon 暗扇区相互作用:探测哈勃参数和声视界
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-10-21 DOI: 10.1016/j.aop.2025.170249
Ritika Nagpal , S.K.J. Pacif , Farruh Atamurotov , Rasmikanta Pati
In this study, we explore the impact of the interacting parameter on dark matter in a model resulting from a parametrization of dark energy density. To ensure a model-independent approach, we treat rd as a free parameter, avoiding assumptions about the physics of the early Universe or specific recombination models. This approach allows late-time cosmological observations to directly constrain rd along with other parameters. Using recent measurements from the Dark Energy Spectroscopic Instrument (DESI) Year 1, cosmic chronometers (CC) and Pantheon+ supernova (SNe Ia) data, we uncover a significant effect of the interacting parameter on dark matter. Our analysis reveals that while non-interacting models attribute 68.2% of the cosmic energy density to dark energy, interacting models increase this share to 73.4%. To further probe these differences, we evaluate the evolution of the deceleration parameter for each model, contrasting them against the ΛCDM paradigm and observational data from CC and SNe Ia measurements. Finally, we apply various statistical metrics to rigorously assess the performance of these models.
在本研究中,我们探索了暗能量密度参数化模型中相互作用参数对暗物质的影响。为了确保模型独立的方法,我们将rd视为自由参数,避免了对早期宇宙物理或特定重组模型的假设。这种方法允许后期宇宙学观测直接约束rd和其他参数。利用暗能量光谱仪器(DESI) 1年、宇宙天文钟(CC)和万神殿+超新星(SNe Ia)数据的最新测量结果,我们发现了相互作用参数对暗物质的重要影响。我们的分析显示,非相互作用模型将68.2%的宇宙能量密度归因于暗能量,而相互作用模型将这一比例提高到73.4%。为了进一步探讨这些差异,我们评估了每个模型的减速参数的演变,并将它们与ΛCDM范式和CC和snia测量的观测数据进行了对比。最后,我们应用各种统计指标来严格评估这些模型的性能。
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引用次数: 0
Beyond ΛCDM: Exploring a dynamical cosmological constant framework consistent with late-time observations 超越ΛCDM:探索与后期观测一致的动态宇宙学常数框架
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-10-21 DOI: 10.1016/j.aop.2025.170275
Archana Dixit , Manish Yadav , Anirudh Pradhan , M.S. Barak
In this work, we investigate a cosmological scenario with a time-dependent cosmological constant Λ(t) within the spatially flat Friedmann–Lemaître–Robertson–Walker (FLRW) framework. Here we study a power-law Λ(t)CDM model characterized by a dynamic cosmological constant expressed as a function of the Hubble parameter and its derivative Λ(t) =α(Ḣ+H2)+λH2+4πGρη. Using recent observational datasets (DESI BAO, OHD, and PP&SH0ES), we constrain the model’s free parameters (H0,α,λ,η) and analyze their impact on key cosmological quantities. A Markov chain Monte Carlo (MCMC) analysis of the best-fit value of H0=71.9±0.23 km/s/Mpc from PP&SH0ES analysis only, which substantially alleviates the existing tension between early and late-time determinations of the Hubble constant, reducing it to 1.5σ. The reconstructed Om diagnostic exhibits a negative slope, indicating a dynamic dark energy behavior with quintessence-like characteristics (ω>1). These results suggest that the proposed Λ(t) model provides a viable alternative to the standard ΛCDM paradigm to explain the late-time acceleration of the universe. Our findings show that this model alleviates the Hubble tension more effectively than the standard ΛCDM. The model also demonstrates compatibility with late-time Hubble parameter observations and offers a compelling framework to address the limitations of ΛCDM.
在这项工作中,我们在空间平坦的friedman - lema - robert - walker (FLRW)框架中研究了具有时间依赖的宇宙学常数Λ(t)的宇宙学场景。本文研究了一个幂律Λ(t)CDM模型,其特征是动力学宇宙常数表示为哈勃参数的函数及其导数Λ(t) =α(Ḣ+H2)+ Λ H2+4π ρη。利用最近的观测数据集(DESI BAO, OHD和pp&&; SH0ES),我们约束了模型的自由参数(H0,α,λ,η),并分析了它们对关键宇宙学量的影响。马尔可夫链蒙特卡罗(密度)的最佳价值分析H0 = 71.9±0.23 km / s / Mpc PP& SH0ES分析,这大大减轻现有的早期和后期数据决定的哈勃常数之间的紧张关系,减少∼1.5σ。重构的Om诊断曲线呈现负斜率,表明暗能量的动态行为具有类似精粹的特征(ω>−1)。这些结果表明,提出的Λ(t)模型提供了一个可行的替代标准ΛCDM范式来解释宇宙的后期加速。我们的发现表明,这个模型比标准模型更有效地缓解了哈勃张力ΛCDM。该模型还证明了与后期哈勃参数观测的兼容性,并提供了一个令人信服的框架来解决ΛCDM的局限性。
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引用次数: 0
Comparing the extrinsic orbital Hall effect in centrosymmetric and noncentrosymmetric systems: Insights from bilayer transition metal dichalcogenides 比较中心对称和非中心对称体系的外部轨道霍尔效应:来自双层过渡金属二硫族化合物的见解
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-10-21 DOI: 10.1016/j.aop.2025.170265
Azadeh Faridi , Reza Asgari
We investigate both intrinsic and extrinsic orbital Hall effects (OHE) in bilayer transition metal dichalcogenides (TMDs) in the presence of short-range disorder using quantum kinetic theory. Bilayer TMDs provide an ideal platform to study the effects of inversion symmetry breaking on transport properties due to their unique structural and electronic characteristics. While bilayer TMDs are naturally inversion symmetric, applying a finite gate voltage to create a bias between the layers effectively breaks this symmetry. Our findings reveal that slightly away from the band edges, the extrinsic OHE eventually becomes the dominant contribution in both inversion-symmetric and asymmetric cases, with its prominence increasing significantly as a function of Fermi energy. Furthermore, we demonstrate that breaking inversion symmetry greatly enhances the extrinsic OHE. This enhancement arises from the fundamentally distinct behavior of orbital angular momentum (OAM) in centrosymmetric systems, where intraband components vanish due to symmetry constraints. As a result, in centrosymmetric systems, only the off-diagonal components of the density matrix contribute to the extrinsic OHE. In contrast, in noncentrosymmetric systems, both diagonal and off-diagonal components play a role. Our study suggests that in experimentally relevant highly doped systems, the OHE becomes predominantly extrinsic in both centrosymmetric and noncentrosymmetric although the contribution is much more pronounced in the latter. Importantly, we infer that even a weakly breaking of inversion symmetry can lead to a dramatic enhancement of the OHE, a finding with significant implications for experimental investigations.
本文利用量子动力学理论研究了短程无序存在下双层过渡金属二硫族化合物(TMDs)的内在和外在轨道霍尔效应(OHE)。由于其独特的结构和电子特性,双层tmd为研究反转对称性破缺对输运性质的影响提供了理想的平台。虽然双层tmd天生是逆对称的,但在层之间施加有限的栅极电压来产生偏置会有效地破坏这种对称性。我们的研究结果表明,在稍微远离能带边缘的地方,外在OHE最终成为反转对称和非对称情况下的主要贡献,其突出度随着费米能量的函数而显著增加。此外,我们还证明了破缺反转对称极大地增强了外在OHE。这种增强源于中心对称系统中轨道角动量(OAM)的基本不同行为,其中带内分量由于对称约束而消失。因此,在中心对称系统中,只有密度矩阵的非对角线分量对外在OHE有贡献。相反,在非中心对称系统中,对角和非对角分量都起作用。我们的研究表明,在实验相关的高掺杂系统中,OHE在中心对称和非中心对称中都主要是外在的,尽管后者的贡献要明显得多。重要的是,我们推断,即使反转对称性的弱破坏也会导致OHE的显着增强,这一发现对实验研究具有重要意义。
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引用次数: 0
Extracting work as a witness of entanglement in de Sitter spacetime 提取功作为德西特时空中纠缠的见证
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-10-20 DOI: 10.1016/j.aop.2025.170268
Mohamed Amazioug , Mohammed Daoud
The extraction of work from quantum systems is critical in quantum thermodynamics. In the case of homodyne/heterodyne measurement in de Sitter space (dS), we demonstrate that it is possible to achieve entanglement through extracted work in bi- and tripartite Gaussian states. We show that the entanglement detected by extracted work is in good agreement with that quantified by logarithmic negativity. The results indicate that the influence of de Sitter space curvature results in a distribution of quantum entanglement between modes in different open charts. Particularly, we show that the quantum entanglement of the initially correlated state persists up to infinite curvature.
从量子系统中提取功在量子热力学中是至关重要的。在德西特空间(dS)的差/外差测量的情况下,我们证明了通过提取双和三方高斯态的功来实现纠缠是可能的。我们表明,通过提取功检测到的纠缠与对数负性量化的纠缠很好地一致。结果表明,德西特空间曲率的影响导致了不同开图中模间量子纠缠的分布。特别是,我们证明了初始相关态的量子纠缠持续到无限曲率。
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Annals of Physics
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