A. Mohadi, N. Mebarki, M. Boussahel
A general formalism of the spin quantum entanglement in a curved space-time represented. As examples Kerr and non commutative Reissner- Nordström models are considered. The behaviors of the concurrence and entanglement entropy as a function of the various parameters are also discussed.
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Entanglement Holonomy for Photon Pairs in Curved Spacetime
本文在克尔弯曲时空中解析求解最大纠缠光子对的偏振和乐，并据此定义和研究了不依赖于组分乘积态的纠缠和乐。
Static Observers in Curved Spaces and Non-inertial Frames in Minkowski Spacetime
弯曲时空中的静态观测者可能会将其固有加速度解释为与局部引力场（牛顿意义上的）相反。基于这种解释和等价原理的启发，我们被引导到调查的类时曲线的同余在闵可夫斯基时空的加速度场一致的静态观察者的弯曲空间的加速度场。的同余产生的非惯性系进行检查。具体地说，我们发现，基于局部性原理，嵌入适应于非惯性系的显式形式的任意加速度场的超曲面。我们还确定，从爱因斯坦方程，一个协变场方程，规定的行为，适当的加速度弯曲时空中的静态观察员。它对应于牛顿引力场方程的精确相对论版本。在静态观测者的加速度场的范数的水平表面是最大对称的二维空间的特定情况下，分析了源的能量动量张量。
Extremely charged static perfect fluid distributions with dilaton in curved spacetimes
本文在广义相对论框架下研究了带介子场的荷电静态理想流体的分布。我们考虑了爱因斯坦方程化为非线性泊松方程的情形。我们证明了麦克斯韦方程和一个声子方程隐含了电荷、质量和声子电荷密度之间的关系。
Atom-field dynamics in curved spacetime
本文综述弯曲时空中原子-场相互作用研究，重估原子辐射跃迁与能级移动的传统认知，梳理纠缠动力学研究进展，指出该研究对基础物理与量子信息操控的双重意义。
Influence of dark matter on quantum entanglement and coherence in curved spacetime
本文研究完美流体暗物质对史瓦西黑洞附近费米子与玻色子场量子纠缠和相干性的影响，发现其效应依赖密度且不同量子场响应差异显著，为暗物质探测中量子探针的选择提供了依据。
Entanglement entropy in curved spacetimes with event horizons
本文研究了具有事件视界的弯曲背景中纠缠熵的计算。我们使用一个哈密顿方法的问题，并进行数值计算的间距$a$的球形晶格。我们研究宇宙学的情况下，并明确计算的Friedmann-Robertson-Walker宇宙。我们对无质量、最小耦合标量场的结果可以用$S_{ent}=0.30 r_H^2/a^2$来概括，它类似于平坦空间公式，尽管这里的视界半径$r_H$与时间有关。
We study the genuine tripartite nonlocality (GTN) and the genuine tripartite entanglement (GTE) of Dirac fields in the background of a Schwarzschild black hole. We find that the Hawking radiation degrades both the physically accessible GTN and the physically accessible GTE. The former suffers from "sudden death" at some critical Hawking temperature, and the latter approaches to the nonzero asymptotic value in the limit of infinite Hawking temperature. We also find that the Hawking effect cannot generate the physically inaccessible GTN, but can generate the physically inaccessible GTE for fermi…
Quantum fields and entanglement on a curved lightfront
我们考虑弯曲时空中任意零超曲面上的场量子化。我们讨论德西特视界作为最简单的例子，在宇宙补丁的标准福克空间的视界量子化。我们强调零超曲面运动学的普遍性，用它来概括的Unruh效应的真空或热状态相对于零的“时间平移”的任意（例如非稳态）的视野。最后，我们考虑一个零超曲面上的一般纯态，它被分为过去和未来的一半，当分歧表面划分一个事件视界。我们提出了一个封闭形式的配方减少这样一个纯态到混合状态的每个半超曲面。这提供了一个框架来描述时空区域之间的纠缠直接在其因果视界。为了说明我们的状态还原配方，我们用它来推导Unruh效应。
Scalar solitons in a 4-Dimensional curved space-time
有一个被称为维里定理的定理，它限制了在具有3个或更多空间维度的平坦时空中存在具有标量场的非平凡静态孤立波的可能性。这就提出了以下问题：类似的弯曲时空版本是否成立？本文用数值分析方法研究了在一个简单的四维弯曲时空模型中存在孤子的可能性。我们发现所提出的非线性波动方程存在静态解。这证明了在弯曲的时空中，孤子解的可能性相对于平坦的时空的情况是增强的。
We propose a covariant scheme for measuring entanglement on general hypersurfaces in relativistic quantum field theory. For that, we introduce an auxiliary relativistic field, 'the discretizer', that by locally interacting with the field along a hypersurface, fully swaps the field's and discretizer's states. It is shown, that the discretizer can be used to effectively cut-off the field's infinities, in a covariant fashion, and without having to introduce a spatial lattice. This, in turn, provides us an efficient way to evaluate entanglement between arbitrary regions on any hypersurface. As exa…
Comment on "Quantum versus classical instability of scalar fields in curved backgrounds"
我证明了论文[arXiv：1310.2185]中关于静态球对称引力背景下的最小耦合标量场不稳定的论断是不正确的。
Gravity-induced entanglement between two massive microscopic particles in curved spacetime: II.Friedmann- Lemaître-Robertson-Walker universe
本文将量子引力诱导质量纠缠的研究从 Schwarzschild 背景推广到 FLRW 宇宙，通过相位变化与 QGEM 谱分析大质量微观粒子传播时的引力纠缠形成机制。
We consider an entanglement harvesting protocol between two Unruh-deWitt detectors in quantum superpositions of static trajectories in the static de Sitter and thermal Minkowski spacetimes. We demonstrate for the first time that the spatial superposition of each detector's path allows entanglement to be harvested from the quantum field in regimes where it would be otherwise impossible for detectors on classical trajectories. Surprisingly, for detectors on sufficiently delocalised trajectories in a thermal bath, the amount of harvested entanglement grows with the temperature of the field, viola…
We generalize a result of Vollick constraining the possible behaviors of the renormalized expected stress-energy tensor of a free massless scalar field in two dimensional spacetimes that are globally conformal to Minkowski spacetime. Vollick derived a lower bound for the energy density measured by a static observer in a static spacetime, averaged with respect to the observers proper time by integrating against a smearing function. Here we extend the result to arbitrary curves in non-static spacetimes. The proof, like Vollick's proof, is based on conformal transformations and the use of our ear…
Local $ζ$-functions, stress-energy tensor, field fluctuations, and all that, in curved static spacetime
这是一个快速审查的一些技术有关的局部zeta函数应用于量子场论在弯曲的静态（热）时空的应力-能量张量和场的波动正规化。
Relative entanglement entropy for widely separated regions in curved spacetime
本文给出了在超静态洛伦兹时空的静态切片中，大质量Dirac-Majorana场在两个相距很远的区域$A$和$B$之间基态的相对纠缠熵的一个上界.我们的束缚在$dist (A, B)$中以指数衰减，速率由康普顿波长和空间标量曲率设定。我们的结果的物理解释是，在具有正的空间标量曲率的流形上，如果它们的距离是曲率半径和康普顿波长的最大值的量级或更大，则不能使用真空态的纠缠将一个经典比特从$A$传送到$B$。
Guided Waves in Static Curved Spacetimes
本文利用赫兹势发展协变形式体系，研究静态弯曲时空波导中的电磁导波，推导TE、TM及TEM模式的波动方程、截止频率和导波波长，并以史瓦西时空径向传播为例，为广义相对论精密检验和相对论量子光学提供新框架。
Thermal radiation in non-static curved spacetimes: quantum mechanical path integrals and configuration space topology
给出了非静态Gui时空中热传播子的量子力学路径积分推导。传播子的热性质可以理解为在乌龟坐标的配置空间中的同伦非平凡路径。本文讨论了坍缩黑洞的热辐射。
Gravity-induced entanglement between two massive microscopic particles in curved spacetime: I.The Schwarzschild background
本文提出将引力诱导粒子纠缠实验推广至Schwarzschild等弯曲时空的方案，分析星际介质等场景中的QGEM，证明远小于介观质量的粒子对仍可产生可观测纠缠并给出特征谱。
Entanglement in curved spacetimes and cosmology
我们回顾了最近的结果，纠缠在宇宙时空中的量子场和相关的现象，如在平坦时空的Unruh效应。本文首先介绍了关于场纠缠的一些重要结果，以及描述场纠缠的Bogoliubov变换的数学模型，然后讨论了Unruh-DeWitt探测器模型，它是一个通用的局域粒子探测器的有用模型。该探测器模型已被成功地用作获得许多重要结果的工具。在这种情况下，我们讨论两种特定类型的这些检测器：量子比特和谐振子。后者最近已被证明有重要的应用，当一个人想要探测与量子场相互作用的探测器的非微扰物理。然后，我们详细介绍了这些想法的研究和应用的一些最新进展，包括早期宇宙的回声，纠缠收获，以及量子地震学的新生提案。
The Einstein-Cartan-Kibble-Sciama ({\sf ECKS}) theory of gravity naturally extends Einstein\rq{}s general relativity ({\sf GR}) to include intrinsic angular momentum (spin) of matter. The main feature of this theory consists of an algebraic relation between spacetime torsion and spin of matter which indeed deprives the torsion of its dynamical content. The Lagrangian of {\sf ECKS} gravity is proportional to the Ricci curvature scalar constructed out of a general affine connection so that owing to the influence of matter energy-momentum and spin, curvature and torsion are produced and interact …
Work distribution of quantum fields in static curved spacetimes
本文研究了静态弯曲时空中量子场与Unruh-DeWitt探测器相互作用的工作分布，推导了特征函数并验证了波动定理的成立。
The generalized Heun equation in QFT in curved space-times
本文简要介绍广义Heun方程在弯曲时空中的量子场论中的应用。特别是，我们涉及的分离的径向部分的大规模狄拉克方程的Kerr-Newman度规和静态扰动的非极值Reissner-Nordström解决方案的GHE。
Recently, with numerical methods, Hod clarified the validity of Thorne hoop conjecture for spatially regular static charged fluid spheres, which were considered as counterexamples against the hoop conjecture. In this work, we provide an analytical proof on Thorne hoop conjecture in the spatially regular static charged fluid sphere spacetimes.
Hawking radiation, Entanglement and Teleportation in background of an asymptotically flat static black hole
研究了最一般的静态渐近平坦球对称黑洞中霍金温度对标量场纠缠和量子隐形传态的影响。结果表明，除了最大纠缠态外，随着Hawking温度的升高，状态参数$α$及其“归一化伙伴”$\sqrt{1-α^{2}}$的“初始纠缠”将沿两条不同的轨迹被Hawking效应退化.在无限Hawking温度极限下，对应于黑洞完全蒸发的情况，态对任何$α$都不再具有可解纠缠。值得注意的是，在这个极限下的互信息仅等于“初始互信息”的一半。量子隐形传态的保真度随着霍金温度的升高而降低，这正好说明量子纠缠的退化。
An explicit quantum weak energy inequality for Dirac fields in curved spacetimes
根据Fewster和Verch的结果，量子化Dirac场在任意四维整体双曲时空中沿类时曲线的平均能量密度满足量子弱能量不等式（QWEI）.然而，这个结果并没有提供一个明确的形式的界限。通过调整思想从早期的工作，我们给出了一个简化的推导QWEI的狄拉克场导致明确的界限。在静态时空中的静态曲线的情况下，该界进一步简化，特别是与Fewster和Mistry在四维闵可夫斯基时空中的结果一致。我们还表明，我们的QWEI与当地的协方差是兼容的，并得出一个简单的结果。
In this work, based on a recently introduced localization scheme for scalar fields, we argue that the geometry of the space-time, where the particle states of a scalar field are localized, is intimately related to the quantum entanglement of these states. More specifically, we show that on curved space-time can only be localized entangled states, while separable states are located on flat space-time. Our result goes in parallel with recent theoretical developments in the context of AdS/CFT correspondence which uncovered connections between gravity and quantum entanglement.
Within the quantum field theory approach and using the technique of Bogoliubov transformations, the von Neumann boson-antiboson pair creation quantum entanglement entropy is studied in the context of the noncommutative Bianchi I universe. It is shown that the latter have a behavior depending strongly on the choice of the noncommutativity θ parameter, k_{\perp}-frequency modes and the structure of the curved spacetime. Moreover, the relationship between the Bose-Einstein condensation and quantum entanglement is also discussed.
Quantum mechanical path integrals and thermal radiation in static curved spacetimes
在具有事件视界的静态弯曲时空中，利用量子力学路径积分方法计算了无自旋粒子的传播子。一个玩具模型，桂时空，和二维和四维史瓦西黑洞被认为是。在这个框架中强调的坐标配置空间的拓扑结构的作用。为了用一组坐标完全覆盖上述时空，乌龟坐标被扩展到复值。它表明，同伦性质的复杂乌龟配置空间意味着在这些时空中的传播子的热行为。当端点位于由一个或多个事件视界分开的相同或不同的时空区域时，传播子被计算出来。通过事件视界的量子演化被证明是在第五变量幺正。
The Schrodinger Wave Functional and Vacuum States in Curved Spacetime
进一步发展了弯曲时空中真空态的薛定谔图象描述。真空波泛函的一般解决方案给出了静态和动态（比安奇I型）时空和共形静态罗伯逊-沃克型时空。的形式主义说明了简单的宇宙模型与时间相关的度量和粒子创造的现象是有关的核在真空波泛函的一种特殊形式。
Scalar Wave Tails in Even Dimensional Weakly Curved Static Newtonian Spacetimes
在由线性化的爱因斯坦方程控制的四维（4D）弱场几何中，并且主要来源于静态的、空间局域的、但在其他方面任意的质量密度$T_{00}$，已知最小耦合的无质量标量、洛伦兹规范光子和de Donder规范引力子的格林函数的首阶尾部分在后期不仅是时间平移对称的，而且是空间平移和球对称的。只有物质源的磁矩对格林函数的晚时拖尾负责。我们提供的证据，在本文中，这两个声明将不再成立的所有甚至维度高于4。因此，我们预计，在更高的偶数维渐近平坦时空中传播的无质量场的后期行为将表现出比他们的4D同行更丰富的现象。
We present a new technique for computing entanglement harvesting with Unruh-DeWitt particle detectors. The method is particularly useful in cases where analytic solutions are rare and the Wightman function is known only via its mode expansion for which numerical integration can become very expensive. By exploiting the conjugate symmetry of the Wightman function, we may split the integral into parts dependent on the commutator and anti-commutator of the field. In cases where the commutator vanishes, such as spacelike separation, or timelike separation if the strong Huygens principle holds, we t…
Reply to "Comment on `Quantum versus classical instability of scalar fields in curved backgrounds'"
我们证明了arXiv：1310.6252的作者得出结论的推理依赖于一个不正确的标准，规范化的边界解决方案的存在。我们强调，在我们的论文（arXiv：1310.2185）的附录中得出的一般结果，即“没有快子（即，不稳定）模式的最小耦合标量场在渐近平坦的球对称静态时空不包含视界”确实是正确的。
Observer dependent entanglement
理解量子纠缠的纠缠依赖性是相对论量子信息研究的核心问题。在本文中，我们将审查的相对论性纠缠在平坦和弯曲的时空和讨论最近的工作表明，运动和重力有可观察到的局域系统之间的纠缠的关键结果。
Quantum Inequality Restrictions on Negative Energy Densities in Curved Spacetimes
在量子场论中，存在量子化场的能量密度的期望值为负的状态。这些负能量密度导致许多问题。虽然量子场论引入了负能量，但它也以量子不等式（QI）的形式提供了约束。这些不确定原理类型的关系限制了任何负能量的大小和持续时间。在静态弯曲时空中，我们导出了量子化标量场和电磁场的质量指数关于能量密度的一般形式。在标量场的情况下，QI可以写成作用于欧几里得格林函数的欧几里得波算子。此外，还使用格林函数的小距离展开来推导短采样时间限制下的QI。我们发现，在这个极限的QI减少到平坦的空间形式与subdominant的校正项，这取决于时空几何。我们研究了几个可以找到QI的精确形式的时空例子，包括三维和四维静态Robertson-Walker时空、具有完全反射镜的平坦空间、Rindler和静态de Sitter空间以及黑洞外的时空。最后，将量子不等式应用于阿尔库别雷弯曲驱动时空，会对维持弯曲驱动所需的负能量区域的厚度产生严格的限制。在这些限制下，我们发现所需的总负能量超过可见宇宙总质量的1000亿倍。
The non-commutative Bianchi I curved space-time vierbeins and spin connections are derived. Moreover, the corresponding non-commutative Dirac equation as well as its solutions are presented. As an application within the quantum field theory approach using Bogoliubov transformations, the von Neumann fermion-antifermion pair creation quantum entanglement entropy is studied. It is shown that its behaviour is strongly dependent on the value of the non-commutativity $θ$ parameter, $k_\perp$-modes frequencies and the structure of the curved space-time. Various discussions of the obtained features ar…
Gravity Without Curved Spacetime: A Simple Calculation
经典粒子的轨迹计算静态爱因斯坦宇宙，而不需要3-空间是封闭和弯曲的。自由移动的测试粒子被发现会因为强引力场效应而回到它们的起始位置。潜在的（量子）引力理论的可能影响进行了简要讨论。
In this paper we perform systematic investigation of all possible solutions with static compact extra dimensions and expanding three-dimensional subspace (``our Universe''). Unlike previous papers, we consider extra-dimensional subspace to be constant-curvature manifold with both signs of spatial curvature. We provide a scheme how to build solutions in all possible number of extra dimensions and perform stability analysis for the solutions found. Our study suggests that the solutions with negative spatial curvature of extra dimensions are always stable while those with positive curvature are s…
Probing the quantum speed limit and entanglement in flavor oscillations of neutrino-antineutrino system in curved spacetime
本文在自旋原初黑洞弯曲时空背景下推导Dirac方程中的四矢量引力势，研究其对中微子-反中微子双味振荡跃迁概率、量子速度极限时间界限比及纠缠熵的影响。
Testing quantum theory on curved space-time with quantum networks
本文提出利用量子网络中光子介导的原子纠缠，通过引力场中时钟间的非局域测量探测时间膨胀诱导的纠缠与干涉调制，为在弯曲时空上首次测试量子理论提供了现实的公里级实验路径。
We calculate the entanglement entropy between two (maximally-extended) spacetime regions of static black hole, seperated by horizon. As a first case, we consider the Schwarzschild black hole, and then we extend the calculations to the charged Reissner- Nordstrom and Schwarzschild-de Sitter black holes with more than one horizon. The case for static and spherically-symmetric solution to the more general F (R) gravity is also considered. The calculation of the entanglement entropy is performed using the replica trick by obtaining the explicit form of the metric which corresponds to the replica s…
Quantum Entanglement and Teleportation in Higher Dimensional Black Hole Spacetimes
本文研究了额外维弯曲时空中的量子纠缠和隐形传态的性质。我们证明了由于著名的Hawking-Unruh效应，惯性系中的最大纠缠Bell态在弯曲空间中的纠缠度降低。纠缠度随着额外维的增加而降低。对于有限的黑洞表面引力，观测者可以选择更高的频率模式来保持高水平的纠缠。量子隐形传态的保真度也因为霍金-昂鲁效应而降低。我们讨论了玻色子和费米子源的保真度随额外维度、模式频率、黑洞质量和黑洞角动量参数的变化。
Gravitationally-Induced Photon Entanglement in an FLRW Cosmological Background
本文提出利用天体过程中产生的光子作为量子系统，研究引力诱导的光子纠缠，以测试引力介质是否必须非经典。
Hartle-Hawking state is a maximum of entanglement entropy
证明了在满足逆反应有限条件的纯量子态空间中，标量场的Hartle-Hawking态是纠缠熵的极大值。换句话说，哈特-霍金态是EPR态的弯曲空间模拟，EPR态也是纠缠熵的最大值。
Entanglement-enhanced quantum ranging in the near-Earth spacetime
提出一种近地弯曲时空中的量子测距协议，利用多重量子假设检验同时判定目标存在与位置，发现弯曲时空优势优于平直时空，且传输模式数可提升优势，但分段不能显著提高最大优势。
We extend Derrick's theorem to the case of a generic irrotational curved spacetime adopting a strategy similar to the original proof. We show that a static relativistic star made of real scalar fields is never possible regardless of the geometrical properties of the (static) spacetimes. The generalised theorem offers a tool that can be used to check the stability of localised solutions of a number of types of scalar fields models as well as of compact objects of theories of gravity with a non-minimally coupled scalar degree of freedom.
Motivated by quantum gravity, semi-classical theory, and quantum theory on curved spacetimes, we study the system of an oscillator coupled to two spin-1/2 particles. This model provides a prototype for comparing three types of dynamics: the full quantum theory, the classical oscillator with spin backreaction, and spins propagating on a fixed oscillator background. From nonperturbative calculations of oscillator and entanglement entropy dynamics, we find that entangled tripartite states produce novel oscillator trajectories, and that the three systems give equivalent dynamics for sufficiently w…
In this manuscript, we present an alternative method for calculating null geodesics in General Static Isotropic Metrics in General Relativity and Extended Theories of Gravity. By applying a conformal transformation, we are able to consider an analogue gravity model, where curvature is encoded in the dielectric and magnetic properties of a medium. In other words, we pass from curved to flat space-times, where instead of the Einstein field equations, the Maxwell equations are solved. Within this geometrical background, the photon geodesics are calculated. Then, given different black hole and wor…
Gravity induced neutrino-antineutrino oscillations are studied in the context of one and two flavor scenarios. This allows one to investigate the particle-antiparticle correlations in two and four level systems, respectively. Flavor entropy is used to probe the entanglement in the system. The well known witnesses of non-classicality such as Mermin and Svetlichly inequalities are investigated. Since the extent of neutrino-antineutrino oscillation is governed by the strength of the gravitational field, the behavior of non-classicality shows interesting features as one varies the strength of the …
Entanglement generation in relativistic quantum fields
我们提出了一个通用的，解析的配方来计算任意的，离散模式的玻色子量子场之间的Bogoliubov变换产生的纠缠。我们的设置允许在所有高斯场态的量子关联的完整表征。此外，它适用于所有Bogoliubov变换。这些通常应用于量子光学中，用于描述压缩操作，涉及弯曲时空不同区域中观察者的模式分解，并描述沿非静止轨道移动的观察者。我们专注于一个量子光学的例子在腔量子电动力学设置：一个不带电的标量场在一个腔提供了一个模型的光学谐振腔，其中的纠缠是由非均匀加速度。我们证明了初始单模压缩可以放大产生的纠缠量，并给出了一个明确的公式。在弯曲的时空，如一个膨胀的宇宙，量子场的应用进行了讨论。
Encoding curved spacetime into initial condition
我们证明了共形弯曲时空可以被编码到初始波函数中，并且弯曲传播可以在具有有限组齐次酉算子的二维正则格点上模拟。我们推广了文[1]中的结果，在文[1]中，作者通过非幺正旋转变换了弯曲静态时空中的平坦时空。特别地，由于实现方案的效率和简单性，经由幺正局部旋转在初始量子态中编码度量自然可以用于量子模拟器。我们验证了我们的模型，证明连续极限收敛到狄拉克方程。在弯曲的时空中
Entanglement entropies calculated in the framework of quantum field theory on classical, flat or curved, spacetimes are known to show an intriguing area law in four dimensions, but they are also notorious for their quadratic ultraviolet divergences. In this paper we demonstrate that the analogous entanglement entropies when computed within the Asymptotic Safety approach to background independent quantum gravity are perfectly free from such divergences. We argue that the divergences are an artifact due to the over-idealization of a rigid, classical spacetime geometry which is insensitive to the…
Many phenomena and fundamental predictions, ranging from Hawking radiation to the early evolution of the Universe rely on the interplay between quantum mechanics and gravity or more generally, quantum mechanics in curved spacetimes. However, our understanding is hindered by the lack of experiments that actually allow us to probe quantum mechanics in curved spacetime in a repeatable and accessible way. Here we propose an experimental scheme for a photon that is prepared in a path superposition state across two rotating Sagnac interferometers that have different diameters and thus represent a su…
Universal role of curvature in vacuum entanglement
本研究探讨了时空曲率在量子探针间诱导纠缠的普适作用，通过分析参数空间并数值验证，发现曲率可诱导纠缠，从而可用于探测时空曲率。
Swimming in curved space or The Baron and the cat
研究了非相对论性变形体在（空的）静态弯曲空间中的游动。我们专注于环境几何允许刚体运动的情况。在这种情况下，游泳方程变成几何方程。对于一个小的游泳者，一次划水的游泳距离由黎曼曲率乘以游泳者的某些力矩确定。
Two entangled two-level Unruh-DeWitt detectors, which are in rest, spontaneously loose entanglement when at least any one of them is not isolated from the environment quantum fields. For eternal interaction between the detectors and environment, the spontaneous emission from the detectors' exited states and vacuum fluctuations of field influence this negative effect. Consequently, it suggests that two entangled qubits become less communicated during their free-fall towards the black hole horizon.
Exact Foldy-Wouthuysen transformation for spin 0 particle in curved space
到目前为止，弯曲空间中唯一已知的精确Foldy-Wouthuysen变换（FWT）是关于Dirac粒子耦合到静态时空度规的变换。在这里，我们构建了一个真正的自旋为0粒子的上述时空的确切FWT。这种精确的变换独立于标量场和引力之间的耦合值而存在。此外，共形耦合的引力达尔文项是费米子情况下相关项的三分之一。
Many states of linear real scalar quantum fields (in particular Reeh-Schlieder states) on flat as well as curved spacetime are entangled on spacelike separated local algebras of observables. It has been argued that this entanglement can be "harvested" by a pair of so-called particle detectors, for example singularly or non-locally coupled quantum mechanical harmonic oscillator Unruh detectors. In an attempt to avoid such imperfect coupling, we analyse a model-independent local and covariant entanglement harvesting protocol based on the local probes of a recently proposed measurement theory of …
We study a free scalar field $ϕ$ in a fixed curved background spacetime subject to a higher derivative field equation of the form $F(\Box)ϕ=0$, where $F$ is a polynomial of the form $F(\Box)= \prod_i (\Box-m_i^2)$ and all masses $m_i$ are distinct and real. Using an auxiliary field method to simplify the calculations, we obtain expressions for the Belinfante-Rosenfeld symmetric energy-momentum tensor and compare it with the canonical energy-momentum tensor when the background is Minkowski spacetime. We also obtain the conserved symplectic current necessary for quantisation and briefly discuss …
The Quantum Null Energy Condition, Entanglement Wedge Nesting, and Quantum Focusing
我们研究了纠缠楔嵌套与全息衍射的CFTs的后果。的CFT制定在任意弯曲的背景下，我们包括曲率平方耦合的批量的影响。在这种设置中，我们发现纠缠楔嵌套的必要条件和充分条件，暗示量子纠缠能量条件在$d\leq 5$，扩展其早期的全息证明。我们还证明了在同样的条件下，量子聚焦猜想产生的非引力极限是量子能量条件。
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