Abstract
We investigate the effects of classical driving fields on the dynamics of purity, spin squeezing, and genuine multipartite entanglement (based on the Peres-Horodecki criterion ) of three two-level atoms within three separated cavities prepared in coherent states in the presence of decoherence. The three qubits are initially entangled and driven by classical fields. We obtain an analytical solution of the present system using the superoperator method. We find that the genuine multipartite entanglement measured by an entanglement monotone based on the Peres-Horodecki criterion can stay zero for a finite time and revive partially later. This phenomenon is similar to the sudden death of entanglement of two qubits and can be controlled efficiently by the classical driving fields. The amount of purity, spin squeezing, and genuine multipartite entanglement decrease with the increase of mean photon number of cavity fields. Particularly, the purity and genuine multipartite entanglement could be simultaneously improved by the classical driving fields. In addition, there is steady state genuine multipartite entanglement which can also be adjusted by the classical driving fields.
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Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
Amico, L., Fazio, R., Osterloh, A., Vedral, V.: Rev. Mod. Phys. 80, 517 (2008)
Pan, J.W., Chen, Z.B., Lu, C.Y., Weinfurter, H., Zeilinger, A., Zukowski, M.: Rev. Mod. Phys. 84, 777 (2012)
Liu, S.P., Li, J.H., Yu, R., Wu, Y.: Phys. Rev. A 87, 042306 (2013)
Xu, J.Z., Guo, J.B., Wen, W., Bai, Y.K., Yan, F.L.: Chin. Phys. B 21, 080305 (2012)
Guo, Q.Q., Chen, X.Y., Wang, Y.Y.: Chin. Phys. B 23, 050309 (2014)
Briegel, H.J., Browne, D.E., Dür, W., Raussendorf, R., Van den Nest, M.: Nat. Phys. 5, 19 (2009)
Giovannetti, V., Lloyd, S., Maccone, L.: Science 306, 1330 (2004)
Yeo, Y., Chua, W. K.: Phys. Rev. Lett. 96, 060502 (2006)
Bancal, J.D., Brunner, N., Gisin, N., Liang, Y.C.: Phys. Rev. Lett. 106, 020405 (2011)
Jungnitsch, B, Moroder, T, Gühne, O.: Phys. Rev. Lett 106, 190502 (2011)
Breuer, H.P., Petruccione, F.: The Theory of Open Quantum Systems. Oxford University Press, Oxford (2007)
Lidar, D.A., Brun, T.A.: Quantum Error Correction. Cambridge University Press, Cambridge (2013)
Zhang, J.S., Chen, A.X.: J. Opt. Soc. Am. B 31, 1126 (2014)
Kitagawa, M., Ueda, M.: Phys. Rev. A 47, 5138 (1993)
Ma, J., Wang, X., Sun, C.P., Nori, F.: Phys. Rep. 509, 89 (2011)
Yu, T., Eberly, J.H.: Phys. Rev. Lett. 93, 140404 (2004)
Yu, T., Eberly, J.H.: Science 323, 598 (2009)
Moya-Cessa, H.: Phys. Rep. 432, 1 (2006)
Liu, Y.X., Sun, C.P., Nori, F.: Phys. Rev. A 74, 052321 (2006)
Zhang, J.S., Xu, J.B.: Opt. Commun. 282, 3652 (2009)
Scully, M., Zubairy, M.S.: Quantum Optics. Cambrige University Press, Cambrige (1997)
Witschel, W.: Int. J. Quant. Chem. XX, 1233 (1981)
Bellomo, B., Lo France, R., Compagno, G.: Phys. Rev. Lett. 99, 160502 (2007)
Bellomo, B., Lo France, R., Compagno, G.: Phys. Rev. A 77, 032342 (2008)
Peixoto, J.G., de Faria, J.G., Nemes, M.C.: Phys. Rev. A 69, 063812 (2004)
Acknowledgments
This work is supported by the National Natural Science Foundation of China (Grant Nos. 11047115, 11365009 and 11065007), the Scientific Research Foundation of Jiangxi (Grant Nos. 20122BAB212008 and 20151BAB202020.)
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Zhang, JS., Liu, F. & Chen, AX. Controlling Collapse and Revival of Multipartite Entanglement Under Decoherence via Classical Driving Fields. Int J Theor Phys 55, 4016–4026 (2016). https://doi.org/10.1007/s10773-016-3030-y
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DOI: https://doi.org/10.1007/s10773-016-3030-y