Radiative processes of two entangled atoms outside a Schwarzschild black hole

Menezes, G.

doi:10.1103/physrevd.94.105008

Cited by 29 publications

(30 citation statements)

References 116 publications

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“…Dalibard, Dupont-Roc and Cohen Tannoudji(DDC) proposed that a symmetric ordering should be exploited, so that the contributions of field fluctuations and radiation reaction can be distinctively separated [72,73]. This formalism has been widely used to study the spontaneous transition rates and energy shifts of a single atom interacting with quantum fields in various environments [2, 6-12, 15-19, 22-24], and very recently, it was generalized to study the resonance interaction between two atoms prepared in an entangled state in the Minkowski spacetime [4,71,[79][80][81][82] and in the Schwarzschild spacetime [25,82]. Here we introduce the DDC formalism with which we will investigate the resonance interaction energy of two atoms in the Minkowski and cosmic string spacetimes.…”

Section: The Ddc Formalismmentioning

confidence: 99%

Boundarylike behaviors of the resonance interatomic energy in a cosmic string spacetime

Zhou

2018

Phys. Rev. D

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By generalizing the formalism proposed by Dalibard, Dupont-Roc and Cohen Tannoudji, we study the resonance interatomic energy of two identical atoms coupled to quantum massless scalar fields in a symmetric/antisymmetric entangled state in the Minkowski and cosmic string spacetimes. We find that in both spacetimes, the resonance interatomic energy has nothing to do with the field fluctuations but is attributed to the radiation reaction of the atoms only. We then concretely calculate the resonance interatomic energy of two static atoms near a perfectly reflecting boundary in the Minkowski spacetime and near an infinite and straight cosmic string respectively. We show that the resonance interatomic energy in both cases can be enhanced or suppressed and even nullified as compared with that in an unbounded Minkowski spacetime, because of the presence of the boundary in the Minkowski spacetime or the nontrivial spacetime topological structure of the cosmic string. Besides, we also discover that the resonance interatomic energy in the cosmic string spacetime exhibits some peculiar properties, making it in principle possible to sense different cosmic string spacetimes via the resonance interatomic energy.

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Section: The Ddc Formalismmentioning

confidence: 99%

Boundarylike behaviors of the resonance interatomic energy in a cosmic string spacetime

Zhou

2018

Phys. Rev. D

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“…Moreover, it has also been employed to investigate the radiative processes of entangled atoms in Minkowski spacetime [19] and also in the presence of an event horizon [20,21].…”

Section: Introductionmentioning

confidence: 99%

Thermal and nonthermal scaling of the Casimir-Polder interaction in a black hole spacetime

2017

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We study the Casimir-Polder force arising between two identical two-level atoms and mediated by a massless scalar field propagating in a black-hole background. We study the interplay of Hawking radiation and Casimir-Polder forces and find that, when the atoms are placed near the event horizon, the scaling of the Casimir-Polder interaction energy as a function of interatomic distance displays a transition from a thermallike character to a nonthermal behavior. We corroborate our findings for a quantum field prepared in the Boulware, Hartle-Hawking, and Unruh vacua. Our analysis is consistent with the nonthermal character of the Casimir-Polder interaction of two-level atoms in a relativistic accelerated frame [J. Marino et al., Phys. Rev. Lett. 113, 020403 (2014)], where a crossover from thermal scaling, consistent with the Unruh effect, to a nonthermal scaling has been observed. The two crossovers are a consequence of the noninertial character of the background where the field mediating the Casimir interaction propagates. While in the former case the characteristic crossover length scale is proportional to the inverse of the surface gravity of the black hole, in the latter it is determined by the inverse of the proper acceleration of the atoms.

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“…Concerning this last subject, studies reported recently confirm the relevance of the field of relativistic quantum information as a vivid research program [58][59][60]. Since, as already quoted above, the DDC formalism was sucessfully employed in order to study quantum entanglement [37][38][39], a natural extension of such papers is to include the investigation of entanglement generation between atoms in Kerr spacetime resorting to the same method. On the other hand, one could envisage the same situation within a more standard formalism such as the traditional master equation approach.…”

Section: Discussionmentioning

confidence: 96%

Spontaneous excitation of an atom in a Kerr spacetime

Menezes

2017

Phys. Rev. D

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We consider radiative processes of an atom in a rotating black-hole background. We assume the atom, represented by a hypothetical two-level system, is coupled via a monopole interaction with a massless quantum scalar field prepared in each one of the usual physical vacuum states of interest. We constrain ourselves to two different states of motion for the atom, namely a static situation in which the atom is placed at a fixed radial distance, and also the case in which it has a stationary motion but with zero angular momentum. We study the structure of the rate of variation of the atomic energy. The intention is to clarify in a quantitative way the effect of the distinguished contributions of vacuum fluctuations and radiation reaction on spontaneous excitation and on spontaneous emission of atoms. In particular, we are interested in the comprehension of the combined action of the different physical processes underlying the Hawking effect in the scenario of rotating black holes as well as the Unruh-Starobinskii effect. We demonstrate that, in the case of static atoms, spontaneous excitation is also connected with the Unruh-Starobinskii effect, but only in the case of the quantum field prepared in the Frolov-Thorne vacuum state. In addition, we show that, in the ZAMOs perspective, the Boulware vacuum state contains an outward flux of particles as a consequence of the black-hole superradiance. The possible relevance of the findings in the present work is discussed.

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Radiative processes of two entangled atoms outside a Schwarzschild black hole

Cited by 29 publications

References 116 publications

Boundarylike behaviors of the resonance interatomic energy in a cosmic string spacetime

Boundarylike behaviors of the resonance interatomic energy in a cosmic string spacetime

Thermal and nonthermal scaling of the Casimir-Polder interaction in a black hole spacetime

Spontaneous excitation of an atom in a Kerr spacetime

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