Two-mode Gaussian quantum states measured by collinearly and noncollinearly accelerating observers

Grochowski, Piotr T.; Lorek, Krzysztof; Dragan, Andrzej

doi:10.1103/physrevd.100.025007

Cited by 9 publications

(12 citation statements)

References 62 publications

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“…Therefore, the behavior of entanglement harvesting therein would be an interesting topic, since it is expected to be affected by both the presence of the boundary and the accelerated motion of the detectors which is connected the Unruh effect. Indeed, on one hand, a lot of studies have revealed the influence of acceleration on quantum entanglement via various detector models, including two-level detectors or UDW models [17,33], harmonic oscillators [37,38], and wave packets [39,40]. In particular, it was argued in ref.…”

Section: Introductionmentioning

confidence: 99%

Entanglement harvesting in the presence of a reflecting boundary

Liu

Zhang

2021

J. High Energ. Phys.

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We study, in the framework of the entanglement harvesting protocol, the entanglement harvesting of both a pair of inertial and uniformly accelerated detectors locally interacting with vacuum massless scalar fields subjected to a perfectly reflecting plane boundary. We find that the presence of the boundary generally degrades the harvested entanglement when two detectors are very close to the boundary. However, when the distance between detectors and the boundary becomes comparable to the interaction duration parameter, the amount of the harvested entanglement approaches a peak, which even goes beyond that without a boundary. Remarkably, the parameter space of the detectors’ separation and the magnitude of acceleration that allows entanglement harvesting to occur is enlarged due to the presence of the boundary. In this sense, the boundary plays a double-edged role on entanglement harvesting, degrading in general the harvested entanglement while enlarging the entanglement harvesting-achievable parameter space. A comparison of three different acceleration scenarios of the detectors with respect to the boundary, i.e., parallel, anti-parallel and mutually perpendicular acceleration, shows that the phenomenon of entanglement harvesting crucially depends on the acceleration, the separation between two detectors and the detectors’ distance from the boundary.

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Section: Introductionmentioning

confidence: 99%

Entanglement harvesting in the presence of a reflecting boundary

Liu

Zhang

2021

J. High Energ. Phys.

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“…1), each accelerating with identical proper acceleration A. Although the scheme discussed in [46] involves only 1 + 1 dimensional spacetime, a generalization to the higher dimensional case discussed in [47] is straightforward. The initial state spanned by three modes of the inertial observer is prepared in such a way that it can be also detected by three accelerating observers.…”

Section: A Gaussian Channelmentioning

confidence: 99%

“…It follows from the assumption of equal accelerations. The particular values of the mode overlaps α and β depend on the choice of mode functions and we stick to the ones used previously in [44][45][46][47]. For such a choice, β coefficients are at least 8 orders of magnitude smaller than α's and can be safely neglected.…”

Section: A Gaussian Channelmentioning

confidence: 99%

“…However, initial investigations addressed only global modes, missing the necessity of localization in space and time that is called for when any realistic protocol is to be performed. Different approaches have been employed to tackle this problem-moving cavities [25,[30][31][32][33], point-like detectors [34][35][36][37][38] and localized wave packets [39][40][41][42][43][44][45][46][47].…”

Section: Introductionmentioning

confidence: 99%

“…We focus on the last framework, established in [44] and later generalized in [46,47] that provides a way to compute the effect of acceleration on multi-mode Gaussian states of localized wave packets in various geometries. The entanglement-focused studies of moving quantum observers involved mostly investigations of two-party geometries, such as in the case of e.g.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Effect of relativistic acceleration on tripartite entanglement in Gaussian states

Szypulski¹,

Grochowski²,

Dębski³

et al. 2021

Preprint

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Entanglement extracted from vacuum into accelerated Unruh-DeWitt detectors and energy conservation

Koga

Kimura

2019

Phys. Rev. D

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We consider a pair of two-level Unruh-DeWitt detectors accelerated uniformly in the Minkowski vacuum of a massless neutral scalar field, and analyze, within the perturbation theory, the entanglement extracted from the vacuum into the Unruh-DeWitt detectors when the switching of the detectors are performed adiabatically enough at the asymptotic past and future. We consider the cases where the detectors are accelerated parallelly, anti-parallelly, and in differently orientated directions. We show that entanglement is extracted if they are accelerated anti-parallelly and the ratios of the excitation energy to the magnitude of the acceleration coincide between the two detectors. On the other hand, we find the detectors are not entangled when the detectors are accelerated parallelly or in orientated directions. We discuss these results from the viewpoint of the energy conservation associated with the timelike boost Killing vector fields tangent to the worldlines of the detectors.

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Two-mode Gaussian quantum states measured by collinearly and noncollinearly accelerating observers

Cited by 9 publications

References 62 publications

Entanglement harvesting in the presence of a reflecting boundary

Entanglement harvesting in the presence of a reflecting boundary

Effect of relativistic acceleration on tripartite entanglement in Gaussian states

Entanglement extracted from vacuum into accelerated Unruh-DeWitt detectors and energy conservation

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