Abstract.
We investigate the influence of acceleration and boundaries on the resonance interaction between two identical two-level entangled atoms in synchronous circular motions mediated by a fluctuating massless quantum scalar field. In the ultra-relativistic limit, we give the analytical results of the resonance interaction energy either in the absence or in the presence of a reflecting plane boundary. Our results indicate that the interatomic resonance interaction energy depends on the atomic intrinsic energy level spacing, the atomic acceleration, the interatomic separation, and the distance of the atoms from the boundary. By adjusting these parameters, the resonance interatomic force can be either enhanced or weakened and even its direction can be altered as compared with the case of two inertial entangled atoms in an unbounded Minkowski spacetime. Our work clearly suggests that the resonance interatomic interaction can be regulated and controlled significantly by changing the atomic motion state and the field’s boundary condition.
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References
W. Heitler, The Quantum Theory of Radiation, 3rd ed. (Clarendon Press, Oxford, 1954)
P.W. Milonni, Phys. Rep. 25, 1 (1976)
W.E. Lamb Jr., R.C. Retherford, Phys. Rev. 72, 241 (1947)
J. Dalibard, J. Dupont-Roc, C. Cohen-Tannoudji, J. Phys. (Paris) 43, 1617 (1982)
J. Dalibard, J. Dupont-Roc, C. Cohen-Tannoudji, J. Phys. (Paris) 45, 637 (1984)
H.B.G. Casimir, K. Ned. Akad. Wetensch. Proc. 51, 793 (1948)
H.B.G. Casimir, D. Polder, Phys. Rev. 73, 360 (1948)
S.A. Fulling, Phys. Rev. D 7, 2850 (1973)
P.C.W. Davies, J. Phys. A: Math. Gen. 8, 609 (1975)
W.G. Unruh, Phys. Rev. D 14, 870 (1976)
J. Audretsch, R. Müller, Phys. Rev. A 50, 1755 (1994)
H. Yu, S. Lu, Phys. Rev. D 72, 064022 (2005)
Z. Zhu, H. Yu, S. Lu, Phys. Rev. D 73, 107501 (2006)
H. Yu, Z. Zhu, Phys. Rev. D 74, 044032 (2006)
J. Audretsch, R. Müller, Phys. Rev. A 52, 629 (1995)
L. Rizzuto, Phys. Rev. A 76, 062114 (2007)
R. Passante, Phys. Rev. A 57, 1590 (1998)
Z. Zhu, H. Yu, Phys. Rev. A 82, 042108 (2010)
O. Levin, Y. Peleg, A. Peres, J. Phys. A: Math. Gen. 26, 3001 (1993)
V.A. De Lorenci, R.D.M. De Paola, N.F. Svaiter, Class. Quantum Grav. 17, 4241 (2000)
Y. Jin, J. Hu, H. Yu, Ann. Phys. 344, 97 (2014)
J. Chen, J. Hu, H. Yu, Ann. Phys. 353, 317 (2015)
J. Yang, H. Yu, Ann. Phys. 363, 194 (2015)
D.P. Craig, T. Thirunamachandran, Molecular Quantum Electrodynamics: An Introduction to Radiation-Molecule Interactions (Dover, 1998)
A. Salam, Molecular Quantum Electrodynamics: Long-Range Intermolecular Interactions (Wiley, 2010)
L. Rizzuto, R. Passante, F. Persico, Phys. Rev. A 70, 012107 (2004)
P.W. Milonni, S.M.H. Rafsanjani, Phys. Rev. A 92, 062711 (2015)
P.R. Berman, Phys. Rev. A 91, 042127 (2015)
U.D. Jentschura, V. Debierre, Phys. Rev. A 95, 042506 (2017)
P. Barcellona, R. Passante, L. Rizzuto, S.Y. Buhmann, Phys. Rev. A 94, 012705 (2016)
L. Rizzuto, M. Lattuca, J. Marino, A. Noto, S. Spagnolo, W. Zhou, R. Passante, Phys. Rev. A 94, 012121 (2016)
W. Zhou, R. Passante, L. Rizzuto, Phys. Rev. D 94, 105025 (2016)
M. Lattuca, J. Marino, A. Noto, R. Passante, L. Rizzuto, S. Spagnolo, W. Zhou, J. Phys.: Conf. Ser. 880, 012042 (2017)
R. Incardone, T. Fukuta, S. Tanaka, T. Petrosky, L. Rizzuto, R. Passante, Phys. Rev. A 89, 062117 (2014)
V. Notararigo, R. Passante, L. Rizzuto, Sci. Rep. 8, 5193 (2018)
W. Zhou, L. Rizzuto, R. Passante, Phys. Rev. A 97, 042503 (2018)
W. Zhou, R. Passante, L. Rizzuto, Symmetry 10, 185 (2018)
D. Meschede, W. Jhe, E.A. Hinds, Phys. Rev. A 41, 1587 (1990)
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Cai, H., Li, Z. & Ren, Z. Resonance interaction between uniformly rotating two-level entangled atoms. Eur. Phys. J. Plus 133, 458 (2018). https://doi.org/10.1140/epjp/i2018-12266-8
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DOI: https://doi.org/10.1140/epjp/i2018-12266-8