Geometric phase under the Unruh effect with intermediate statistics

Utilizing the geometric phase(GP)acquired in a quantum evolution,we manifest the thermality and quantum nature of the Unruh effect of an accelerating detector.We consider an UDW detector coupling to a conformal field in Minkowski spacetime,whose response spectrum exhibits an intermediate statistics of(1+1)anyon field.We find that comparing to an inertial moving detector,the GP in accelerating frame is modified after the nonunitary evolution of the detector due to the Unruh effect.We show that such modification can distinguish the different thermalizing ways of the detector,which depends on the scaling dimension of the conformal primary field.Finally,we estimate the difference between the GP under the Unruh radiation and that in a thermal bath for a static observer,which reveals the quantum origin of the Unruh effect rather than a conventional thermal noise.

Experimental simulation of the Unruh effect on an NMR quantum simulator

The Unruh effect is one of the most fundamental manifestations of the fact that the particle content of a field theory is observer dependent. However, there has been so far no experimental verification of this effect, as the associated temperatures lie far below any observable threshold. Recently, physical phenomena, which are of great experimental challenge, have been investigated by quantum simulations in various fields. Here we perform a proof-of-principle simulation of the evolution of ferrnionic modes under the Unruh effect with a nuclear magnetic resonance （NMR） quantum simulator. By the quantum simulator, we experimentally demonstrate the behavior of Unruh temperature with acceleration, and we fiarther investigate the quantum correlations quantified by quantum discord between two fermionic modes as seen by two relatively accelerated observers. It is shown that the quantum correlations can be created by the Unrtfia effect from the classically correlated states. Our work may provide a promising way to explore the quantum physics of accelerated systems.

Spontaneous Excitation of an Accelerated Detector Interacting with a Massive Scalar Field and Unruh Effect

We study spontaneous excitation of both a static detector （modelled by a two-level atom） immersed in a thermal bath and a uniformly accelerated one in the Minkowski vacuum interacting with a real massive scalar field. Our results show that the mass of the scalar field manifests itself in the spontaneous excitation rate of the static detector in a thermal bath （and in vacuum） in the form of a selection rule for transitions among states of the detector. However, this selection rule disappears for the accelerated ones, demonstrating that an accelerated detector does not necessarily behave the same as an inertial one in a thermal bath. We lind the imprint left by the mass is the appearance of a grey-body factor in the spontaneous excitation and de-excitation rates, which maintains the detailed balance condition between them and thus ensures a thermal equilibrium at the Unruh temperature the same as that of the massless case. We also analyze quantitatively the effect of the mass on the rate of change of the detector＇s energy and find that when the mass is very small, it only induces a small negative correction. However, when it is very large, it then exponentially damps the rate, thus essentially forbidding any transitions among states of the detector.

Unruh效应对量子存储下熵不确定关系的影响（英文）

不确定性关系给出了不相容物理量测量结果准确性的约束,为理解量子理论奠定了基础,且在量子密码术和纠缠验证等方面具有应用价值.研究Unruh效应对量子存储下熵不确定关系的影响.研究结果表明:在较低的加速度下熵的不确定度增加,在较高的加速度下熵的不确定度降低;在一个确定的加速度下,熵的不确定度可达最大值.对上述现象,给出了2种不同的物理解释.

导致Unruh-Hawking效应与可延拓出分叉Killing视界的充分条件

文章回顾了"导致Hawking效应的普遍坐标变换"一文中产生Unruh-Hawking效应的条件,对这些条件的作用进行了梳理.基于同样的方法,作者找到了能导致可延拓分叉Killing视界的充分条件并做出了证明.新的条件原则上也可以把非时轴正交的情况包括进来.由于可延拓分叉Killing视界普遍具有非零的表面引力,因此,也可以说这些新条件是导致Unruh-Hawking效应的充分条件.最后以极端RN黑洞为例,讨论了极端Killing视界的情况.

Unruh效应与引力反常

研究了Rindler背景时空的引力反常,为了避免对时空整体对称性的破坏,引入边界条件,得到Unruh温度,进而说明Unruh效应与引力反常有着深刻的联系。

多粒子态的Unruh效应与黑洞辐射

摘要:本文讨论了量子场的Unruh效应,并研究了单模式q粒子态在Unruh效应下的能量以及纠缠性质。发现在非惯性系下,q粒子态|q, 0>α与闵氏时空的真空态|0, 0>α有相似的能量谱性质,但它们有完全不同的纠缠性质。据此,提出了一个黑洞辐射模型,假设黑洞视界附近量子态呈现这种q粒子态的形式。计算了该模型下黑洞辐射熵的演化,其结果与Page曲线相吻合。因此该模型可以作为黑洞信息丢失问题的一种可能解释。

Equivalence between a Gravity Field and an Unruh Acceleration Temperature Field as a Possible Clue to “Dark Matter”

Einstein’s equivalence principle allows one to compare the magnitudes of a gravitational acceleration field with the magnitudes of a field of Unruh acceleration temperatures. The validity of such a comparison is demonstrated by using it to derive the effective Hawking black body radiation at a Schwarzschild black hole horizon. One can then extend the black hole thought experiment to a Hawking-Unruh temperature equation expressed in terms of the Schwarzschild radius. This follows an inverse radius law rather than an inverse radius-squared law. Following a brief discussion of current theoretical failures to explain galactic rotation curves, the Unruh acceleration temperature equations are brought together to show how a rotating supermassive black hole galactic system should follow an inverse radius rule of centripetal gravitational force and centripetal acceleration. This result appears to indicate that galactic observations currently attributed to dark matter may in part be attributed to classical Newtonian dynamics superimposed on a relativistic rotating system powered by a supermassive black hole.

Teleportation of three-dimensional single particle state in noninertial frames

Considering the spin degree of freedom of the Dirac field, we study the entanglement behavior of a different class of communication channel and teleportation of three-dimensional single particle state in noninertial frames. Numerical analysis shows that the communication channel in our scheme can offer enough distillable entanglement for the teleportation protocol. Moreover, the teleportation protocol could work well if Rob＇s acceleration is not very big, but the fidelity of the teleportation is still reduced due to the Unruh effect.

Number-Conserving Coherent State in Rindler Space

We introduce a kind of number-conserving coherent state in Rindler space which can describe the quantum state of thermal particles observed in Rindler space. This is based on the Unruh effect that the thermal particles seen by an accelerating observer in fiat space can be seen by an inertial observer in curved space under a conformal transformation.

Fine-grained uncertainty relation for open quantum system

The fine-grained uncertainty relation (FUR) is investigated for accelerating open quantum system, which manifests the celebrated Unruh effect, a crucial piece of the jigsaw for combining relativity and quantum physics. For a single detector, we show that the inevitable Unruh decoherence can induce a smaller FUR uncertainty bound, which indicates an additional measurement uncertainty may exist. For an open system combined with two detectors, via a nonlocal retrieval game, the related FUR uncertainty bound is determined by the non-classical correlation of the system. By estimating the maximal violation of Bell inequality for an accelerating system, we show that the FUR uncertainty bound can be protected from Unruh decoherence, due to quantum correlation generated through Markovian dynamics.

Relativistic motion on Gaussian quantum steering for two-mode localized Gaussian states

Realistic quantum systems always exhibit gravitational and relativistic features.In this paper,we investigate the properties of Gaussian steering and its asymmetry by the localized two-mode Gaussian quantum states,instead of the traditional single-mode approximation method in the relativistic setting.We find that the one-side Gaussian quantum steering will monotonically decrease with increasing observers of acceleration.Meanwhile,our results also reveal the interesting behavior of the Gaussian steering asymmetry,which increases for a specific range of accelerated parameter and then gradually approaches to a finite value.Such finding is well consistent and explained by the well-known Unruh effect,which could significantly destroy the one-side Gaussian quantum steering.Finally,our results could also be applied to the dynamical studies of Gaussian steering between the Earth and satellites,since the effects of acceleration are equal to the effects of gravity according to the equivalence principle.

Quantum fluctuation of entanglement for accelerated two-level detectors

It is well known that the quantum fluctuation of entanglement(QFE) between Unruh–De Witt detector(modeled by a two-level atom) is always investigated in a relativistic setting. However, both of the Unruh radiation and quantum fluctuation effects play an important role in precise measurements of quantum entanglement. In this paper, we have quantitatively analyzed how the relativistic motion affects the QFE for two entangled Unruh–De Witt detectors, one of which is accelerated and interacting with the neighbor external scalar field. Our results show that the QFE, which initially increases by the Unruh thermal noise, will suddenly decay when the acceleration reaches to a considerably large value. Therefore, the relativistic effect will lead to non-negligible QFE effect. We also find that the initial QFE(without acceleration effect) reaches its minimum value at the maximally entangled state and the separable state. More importantly, our analysis demonstrates that although the QFE has a huge decay when the acceleration is greater than ~ 0.96, the ratio of △E/C is still very large, due to the simultaneous decay of concurrence to a very low value. Finally, enlightened by the well-known equivalence principle,we discuss the possibility of applying the above findings to the dynamics of QFE under the influence of gravitation field.

Rindler Observer Sublimation

In this note, we propose that an object moving with proper constant acceleration, i.e., a Rindler observer experiences a sublimation (or evaporation) process. In this first proposal, we do not consider the backreaction due to the sublimation. We focus on charged matter particles for the discussion, but for simplicity, we present the quantization of the neutrally charged massive scalar field in Rindler space. The amplitude from the Minkowski observer perspective of detection of matter particles that have been emitted by a Rindler observer, or accelerated detector, is computed in a new fashion. We make a comparison between the Rindler observer sublimation and the black hole evaporation. We present three variants of a new experimental setup, and we show that in two of them, the Minkowski amplitude of detection of matter particles corresponds to that of a thermal process. There is one, however, where deviations from thermality can be found. It is numerically explored.

盎鲁效应对非马尔科夫环境下量子纠缠的影响(英文)

研究了盎鲁效应对非马尔科夫环境下2个独立狄拉克粒子量子纠缠的影响,结果表明只在某些特定情况下发生纠缠突然死亡和复活。当探测器处在非惯性系,盎鲁效应会对纠缠的复活现象产生很大影响。当探测器处在非惯性系中的加速度不大于一个"临界点",纠缠死亡和复活仍会出现,而当加速度大于这个"临界点",纠缠死亡和复活现象不再发生。对此提出了一个合理的解释:盎鲁效应将会影响非马尔科夫环境的记忆效应,也会影响此时环境中量子纠缠的出现及其增长率。

On the Massless Vector Fields in a Rindler Space

We study the quantum theory of the mass-less vector fields on the Rindler space. We evaluate the Bogoliubov coefficients by means of a new technique based upon the use of light-front coordinates and Mellin transform. We briefly comment about the ensuing Unruh effect and its consequences.

Symmetry Restoration by Acceleration

The restoration of spontaneous symmetry breaking for a scalar field theory for an accelerated observer is discussed by the one-loop effective potential calculation and by considering the effective potential for composite operators. Above a critical acceleration, corresponding to the critical restoration temperature, Tc, for a Minkowski observer by Unruh relation, i.e. ac/2π=Tc, the symmetry is restored. This result confirms other recent calculations in effective field theories that symmetry restoration can occur for an observer with an acceleration larger than some critical value. From the physical point of view, a constant acceleration mimics a gravitational field and the critical acceleration to restore the spontaneous symmetry breaking corresponds to a huge gravitational effect which prevents boson condensation.

利用新的整体嵌入方法研究高维旋转黑洞的Hawking效应和Unruh效应

首先通过维数约化的方法,在事件视界附近将高维旋转时空线元化为二维度规(仅仅是(t-r)部分),然后利用新的整体嵌入方法研究了(1+1)维时空的Hawking温度(Unruh温度).研究结果验证了Banerjee和Majhi观点的正确性,同时将该观点推广到了高维旋转黑洞的研究,得到了高维旋转黑洞的Hawking温度(Unruh温度).

Redshift drift in uniformly accelerated reference frame

We construct an alternative uniformly accelerated reference frame based on a 3+1 formalism in adapted coordinates.In this frame,a time-dependent redshift drift exists between co-moving observers,which differs from that in Rindler coordinates.This phenomenon can be tested in a laboratory and improve our understanding of non-inertial frames.

在非惯性系中处于热库中的两个腔的纠缠动力学

研究了非惯性系中处于热库中的两个腔的纠缠动力学.不仅考虑了加速参数对纠缠的影响,还考虑了Unruh单粒子态左右成分之间的不同比率对纠缠的影响.结果表明:加速参数一定时,随着腔间纠缠的减少,热库间的纠缠将会增加;此外,当初始状态为最大纠缠,并且,|qR|=1时,粒子和反粒子模之间会产生纠缠的再分配;发现当|qR|=|qL|=1/√2,在无限加速参数下发生纠缠猝死现象;当qR<1/√2时,纠缠在有限加速参数下就会发生纠缠猝死现象.