Abstract
In this paper, the degree of non-Markovian behaviour for a qubit system driven by a classical phase noisy laser (CPNL) is investigated. We analyse the dynamics of the rate of change of the trace distance in two different dynamical regimes in relation to the values of the system parmeters. The results show that the behaviour of the non-Markovianity depends on the ratio of the CPNL rate and the system-environment coupling strength. In the non-Markovian classical noise region, the non-Markovian character becomes less evident when the ratio of the CPNL rate and the system-environment coupling increases.
Similar content being viewed by others
References
B. Bellomo, R. Lo Franco, G. Compagno, Phys. Rev. Lett. 99, 160502 (2007)
S. Maniscalo, F. Petruccione, Phys. Rev. A. 73, 012111 (2006)
J. Dajka, M. Mierzejewski, J. Luczka, Phys. Rev. A 77, 042316 (2008)
B. Bellomo, R. Lo Franco, G. Compagno, Phys. Rev. A 77, 032342 (2008)
J.J. Chen, J.H. An, Q.J. Tong, H.G. Luo, C.H. Oh, Phys. Rev. A 81, 022120 (2010)
R. Vasile, S. Olivares, M.G.A. Paris, S. Maniscalco, Phys. Rev. A 83, 042321 (2011)
A.W. Chin, S.F. Huelga, M.B. Plenio, Phys. Rev. Lett. 109, 233601 (2012)
Y. Li, J. Zhou, H. Guo, Phys. Rev. A 79, 012309 (2009)
F.F. Fanchini, T. Werlang, C.A. Brasil, L.G.E. Arruda, O. Caldeira, Phys. Rev. A 81, 052107 (2010)
B. Wang, Z.Y. Xu, Z.Q. Chen, M. Feng, Phys. Rev. A 81, 014101 (2010)
S. Lorenzo, F. Plastina, M. Paternostro, Phys. Rev. A 84, 032124 (2011)
B. Vacchini, A. Smirne, E.M. Laine, J. Piilo, H.P. Breuer, New J. Phys. 13, 093004 (2011)
F. Ciccarello, G.M. Palma, V. Giovannetti, Phys. Rev. A 87, 040103 (2013)
M. Borrelli, P. Haikka, G.D. Chiara, S. Maniscalco, Phys. Rev. A 88, 010101 (2013)
C. Benedetti, M.G.A. Paris, S. Maniscalco, Phys. Rev. A 89, 012114 (2014)
S. Lorenzo, F. Plastina, M. Paternostro, Phys. Rev. A 88, 020102(R) (2013)
F.F. Fanchini, G. Karpat, L.K. Castelano, D.Z. Rossatto, Phys. Rev. A 88, 012105 (2013)
A. Smirne, L. Mazzola, M. Paternostro, B. Vacchini, Phys. Rev. A 87, 052129 (2013)
P. Haikka, T.H. Johnson, S. Maniscalco, Phys. Rev. A 87, 010103(R) (2013)
F.F. Fanchini, G. Karpat, B. Cakmak, L.K. Castelano, G.H. Aguilar, O. Jiménez Farias, S.P. Walborn, P.H. Souto Ribeiro, M.C. De Oliveira, Phys. Rev. Lett. 112, 210402 (2014)
S.C. Hou, X.X. Yi, S.X. Yu, C.H. Oh, Phys. Rev. A 83, 062115 (2011)
H.P. Breuer, E.M. Laine, J. Piilo, Phys. Rev. Lett. 103, 210401 (2009)
X.M. Lu, X. Wang, C.P. Sun, Phys. Rev. A 82, 042103 (2010)
S. Luo, S.S. Fu, H.T. Song, Phys. Rev. A 86, 044101 (2012)
Á. Rivas, S.F. Huelga, M.B. Plenio, Rep. Prog. Phys. 77, 094001 (2014)
C. Addis, B. Bylicka, D. Chruściński, S. Maniscalco, arXiv:1402.4975 [quant-ph] (2014)
H.S. Zeng, N. Tang, Y.P. Zheng, G.Y. Wang, Phys. Rev. A 84, 032118 (2011)
Á. Rivas, S.F. Huelga, M.B. Plenio, Phys. Rev. Lett. 105, 050403 (2010)
J.G. Li, J. Zou, B. Shao, Phys. Rev. A 81, 062124 (2010)
Z.Y. Xu, W.L. Yang, M. Feng, Phys. Rev. A 81, 044105 (2010)
Z. He, J. Zou, L. Li, B. Shao, Phys. Rev. A 83, 012108 (2011)
J.D. Cresser, C. Facer, Opt. Commun. 238, 773 (2010)
E.M. Laine, J. Piilo, H.P. Breuer, Phys. Rev. A 81, 062115 (2010)
I. Garcia-Mata, C. Pineda, D. Wisniacki, Phys. Rev. A 86, 022114 (2012)
Z.Y. Xu, S.L. Luo, W.L. Yang, C. Liu, S.Q. Zhu, Phys. Rev. A 89, 012307 (2014)
E.M. Laine, H.P. Breuer, J. Piilo, C.F. Li, G.C. Guo, Phys. Rev. Lett. 108, 210402 (2012)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Guo, Y., Fang, M., Zhang, S. et al. Non-Markovianity for a qubit system driven by a classical phase noisy laser. Eur. Phys. J. D 68, 335 (2014). https://doi.org/10.1140/epjd/e2014-50478-6
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjd/e2014-50478-6