Abstract
By means of recently presented two typical measures of non-Markovianity, we study the non-Markovian dynamics of a qubit system coupled to a single qubit environment. Special attention is paid to the problem of environmental coherence on the effect of non-Markovianity of system dynamics and on the effect of entanglement evolution. We also study the relation between non-Markovianity and system-environment correlations and the time evolution of coherence of the environment itself.
Similar content being viewed by others
References
H.P. Breuer, F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, 2007)
Y. Kubota, K. Nobusada, J. Phys. Soc. Jpn 78, 114603 (2009)
Y.H. Ji, J.J. Hu, Chin. Phys. B 19, 060304 (2010)
J. Shao, J. Chem. Phys. 120, 5053 (2004)
A.W. Chin, A. Datta, F. Caruso, S.F. Huelga, M.B. Plenio, New J. Phys. 12, 065002 (2010)
A.W. Chin, S.F. Huelga, M.B. Plenio, Phys. Rev. Lett. 109, 233601 (2012)
R. Vasile, S. Olivares, M.G.A. Paris, S. Maniscalco, Phys. Rev. A 83, 042321 (2011)
H.P. Breuer, E.M. Laine, J. Piilo, Phys. Rev. Lett. 103, 210401 (2009)
Á. Rivas, S.F. Huelga, M.B. Plenio, Phys. Rev. Lett. 105, 050403 (2010)
M.M. Wolf, J. Eisert, T.S. Cubitt, J.I. Cirac, Phys. Rev. Lett. 101, 150402 (2008)
A.R. Usha Devi, A.K. Rajagopal, Sudha, Phys. Rev. A 83, 022109 (2011)
X.M. Lu, X.G. Wang, C.P. Sun, Phys. Rev. A 82, 042103 (2010)
S. Luo, S. Fu, H. Song, Phys. Rev. A 86, 044101 (2012)
W.J. Gu, G.X. Li, Phys. Rev. A 85, 014101 (2012)
X. Yin, J. Ma, X. Wang, F. Nori, Phys. Rev. A 86, 012308 (2012)
F. Giraldi, F. Petruccione, Phys. Rev. A 88, 042102 (2013)
G. Clos, H.P. Breuer, Phys. Rev. A 86, 012115 (2012)
H. Mäkelä, M. Möttönen, Phys. Rev. A 88, 052111 (2013)
E.M. Laine, H.P. Breuer, J. Piilo, C.F. Li, G.C. Guo, Phys. Rev. Lett. 108, 210402 (2012)
S. Deffner, E. Lutz, Phys. Rev. Lett. 111, 010402 (2013)
H.Z. Shen, M. Qin, X.X. Yi, Phys. Rev. A 88, 033835 (2013)
C.L. Zou, X.D. Chen, X. Xiong, F.W. Sun, X.B. Zou, Z.F. Han, G.C. Guo, Phys. Rev. A 88, 063806 (2013)
H.S. Zeng, Y.P. Zheng, N. Tang, G.Y. Wang, Quantum Inf. Process 12, 1637 (2013)
S.F. Huelga, Á. Rivas, M.B. Plenio, Phys. Rev. Lett. 108, 160402 (2012)
S.B. Xue, R.B. Wu, W.M. Zhang, J. Zhang, C.W. Li, T.J. Tarn, Phys. Rev. A 86, 052304 (2012)
P. Haikka, T.H. Johnson, S. Maniscalco, Phys. Rev. A 87, 010103(R) (2013)
J.S. Xu, C.F. Li, M. Gong, X.B. Zou, C.H. Shi, G. Chen, G.C. Guo, Phys. Rev. Lett. 104, 100502 (2010)
B.H. Liu, L. Li, Y.F. Huang, C.F. Li, G.C. Guo, E.M. Laine, H.P. Breuer, J. Piilo, Nat. Phys. 7, 931 (2011)
J.S. Tang, C.F. Li, Y.L. Li, X.B. Zou, G.C. Gou, H.P. Breuer, E.M. Laine, J. Piilo, Europhys. Lett. 97, 10002 (2012)
H.P. Breuer, J. Phys. B 45, 154001 (2012)
A. Pernice, J. Helm, W.T. Strunz, J. Phys. B 45, 154005 (2012)
S. Wißmann, A. Karlsson, E.M. Laine, J. Piilo, H.P. Breuer, Phys. Rev. A 86, 062108 (2012)
W.K. Wootters, Phys. Rev. Lett. 80, 2245 (1998)
H. Ollivier, W.H. Zurek, Phys. Rev. Lett. 88, 017901 (2001)
S. Luo, Phys. Rev. A 77, 042303 (2008)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Tang, N., Cheng, W. & Zeng, HS. Coherence, correlation and non-Markovianity in qubit systems. Eur. Phys. J. D 68, 278 (2014). https://doi.org/10.1140/epjd/e2014-50292-2
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjd/e2014-50292-2