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ENTANGLEMENT DYNAMICS OF THREE-QUBIT SYSTEM IN A COMMON NON-MARKOVIAN RESERVOIR

Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu 273165, China

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ZHONG-XIAO MAN

Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu 273165, China

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YING-JIE ZHANG

Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu 273165, China

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YUN-JIE XIA

Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu 273165, China

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https://doi.org/10.1142/S0219749911007770Cited by:1 (Source: Crossref)

Abstract

We study the entanglement dynamics of three two-level atoms interacting with a structured reservoir. The atoms are initially prepared in a mixed W state while the reservoir is in the vacuum. We show the dependence of entanglement dynamics on the purity of initial atomic state and on the amount of non-Markovianity. When the initial state of atoms is in a W pure state, the entanglement will decay asymptotically, while it vanishes in a finite time if the initial state is in a mixed W state. In addition, as the memory effect of the environment, entanglement can partially revive after it vanishes, and the revival degree is dependent on the strength of non-Markovian effect. In the end, we consider the entanglement generation and its evolution when the initial state of the atoms system is completely separable.

Keywords:

PACS: 03.65.Ud, 03.65.Yz, 03.67.Mn

References

M. Nielsen and I. Chuang , Quantum Computation and Quantum Information ( Cambridge University Press , Cambridge, UK , 2000 ) . Google Scholar
H.-P. Breuer and F. Petruccione , The Theary of Open Quantum Systems ( Oxford University Press , Oxford , 2002 ) . Google Scholar
W. Dur and H.-J. Briegel, Phys. Rev. Lett. 93, 180403 (2004). Google Scholar
O. Guhne, F. Bodosky and M. Blaauboer, Phys. Rev. A 78, 060301 (2008). Web of Science, Google Scholar
T. Yu and J. H. Eberly, Phys. Rev. Lett. 93, 140404 (2004), DOI: 10.1103/PhysRevLett.93.140404. Web of Science, Google Scholar
T. Yu and J. H. Eberly, Phys. Rev. Lett. 97, 140403 (2006), DOI: 10.1103/PhysRevLett.97.140403. Web of Science, Google Scholar
M. P. Almeidaet al., Science 316, 579 (2007), DOI: 10.1126/science.1139892. Web of Science, Google Scholar
A. Salleset al., Phys. Rev. A 78, 022322 (2008), DOI: 10.1103/PhysRevA.78.022322. Web of Science, Google Scholar
J. Lauratet al., Phys. Rev. Lett. 99, 180504 (2007), DOI: 10.1103/PhysRevLett.99.180504. Web of Science, Google Scholar
C. E. Lopezet al., Phys. Rev. Lett. 101, 080503 (2008), DOI: 10.1103/PhysRevLett.101.220601. Web of Science, Google Scholar
B. Bellomo, R. Lo Rranco and G. Compagno, Phys. Rev. Lett. 99, 160502 (2007), DOI: 10.1103/PhysRevLett.99.160502. Web of Science, Google Scholar
B. Bellomo, R. Lo Rranco and G. Compagno, Phys. Rev. A 77, 032342 (2008), DOI: 10.1103/PhysRevA.77.032342. Web of Science, Google Scholar
Y. J. Zhang, Z. X. Man and Y. J. Xia, Eur. Phys. J. D 55, 173 (2009), DOI: 10.1140/epjd/e2009-00226-2. Web of Science, Google Scholar
Y. Li, J. Zhou and H. Guo, Phys. Rev. A 79, 012309 (2009), DOI: 10.1103/PhysRevA.79.012309. Web of Science, Google Scholar
S. Maniscalcoet al., Phys. Rev. Lett. 100, 090503 (2008), DOI: 10.1103/PhysRevLett.100.090503. Web of Science, Google Scholar
F. Framcicaet al., Phys. Rev. A 79, 032310 (2009). Web of Science, Google Scholar
C. Sabin and G. Garcia-Alcaine, Eur. Phys. J. D 48, 435 (2008). Web of Science, Google Scholar
E. Lieb, T. Schultz and D. Mattis, Ann. Phys. 16, 407 (1961). Web of Science, Google Scholar