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Open AccessArticle

Radiative Processes of Two Accelerated Entangled Atoms Near Boundaries

by Chi Zhang 1,† and Wenting Zhou 1,2,3,*,†
1
Department of Physics, School of physical science and technology, Ningbo University, Ningbo 315211, China
2
Center for Nonlinear Science, Ningbo University, Ningbo 315211, China
3
China Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha 410081, China
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Symmetry 2019, 11(12), 1515; https://doi.org/10.3390/sym11121515
Received: 30 October 2019 / Revised: 4 December 2019 / Accepted: 7 December 2019 / Published: 13 December 2019
By considering the interaction between a two-atom system and the vacuum massless scalar field in the viewpoint of an instantaneously inertial observer, we study the rates of transition of a uniformly accelerated two-atom system in the symmetric/antisymmetric entangled state near a reflecting boundary and in a cavity, respectively. We find that both the downward transition | ψ ± | g A g B and the upward transition | ψ ± | e A e B occur for the accelerated two-atom system, as in sharp contrast with the case of a static two-atom system, in which the upward transition can never happen. Similar to the rates of transition of atoms immersed in a thermal bath with the FDU temperature, both the downward transition rate and the upward transition rate are characterized by the Plank factor ( e 2 π ω 0 / a 1 ) 1 . This character of the transition rates is very different from the other radiative properties of the accelerated two-atom system, such as the resonance interatomic energy, for which the revisions of the effects of uniform acceleration are never characterized by such a factor. We show with analytical and numerical results that both the downward transition and the upward transition processes can be effectively manipulated by the atomic non-inertial motion and by the presence of boundaries. By comparing the upward transition rate with the downward transition rate, we discover that, when ω 0 a , with ω 0 and a being the energy space and the proper acceleration of the two-atom system, the disentanglement caused by the upward transition is negligible, while, if ω 0 a , the disentanglement caused by the upward transition becomes as important as that caused by the downward transition. View Full-Text
Keywords: rates of transition; uniformly accelerated atoms; symmetric/antisymmetric entangled state; disentanglement rates of transition; uniformly accelerated atoms; symmetric/antisymmetric entangled state; disentanglement
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Zhang, C.; Zhou, W. Radiative Processes of Two Accelerated Entangled Atoms Near Boundaries. Symmetry 2019, 11, 1515.

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