Abstract
We address the entanglement dynamics of two initially entangled non-interacting qubits subjected to the independent sources of classical noises. As classical noises, we consider different configurations of two important classical noises, i.e., static noise and random telegraph noise. Previous studies have focused on the local classical noises acting in the same directions and producing the same relaxation or dephasing dynamics on the qubits. Here, however, we focus on the local classical noises acting in perpendicular directions and producing pure relaxation and dephasing dynamics on the first and second qubits, respectively. This leads to considerably different dynamics of entanglement compared to the one of previous studies. When the qubits are both locally coupled to either the random telegraph noises in the weak coupling regimes or the static noises, we find that there occurs only the entanglement sudden-death effect, while for other configurations the entanglement sudden death may be followed by the revival of entanglement.
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References
R. Horodecki, P. Horodecki, M. Horodecki, K. Horodecki, Rev. Mod. Phys. 81, 865 (2009)
E. Chitambar, G. Gour, Rev. Mod. Phys. 91, 025001 (2019)
N.G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1992)
M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2010)
M.A.C. Rossi, C. Benedetti, M.G.A. Paris, Int. J. Quantum Inf. 12, 1560003 (2014)
M.A.C. Rossi, M.G.A. Paris, J. Chem. Phys. 144, 024113 (2016)
B. Bellomo, R. Lo Franco, G. Compagno, Phys. Rev. Lett. 99, 160502 (2007)
B. Bellomo, R. Lo Franco, G. Compagno, Phys. Rev. A 77, 032342 (2008)
T. Yu, J.H. Eberly, Opt. Commun. 264, 393 (2006)
T. Yu, J.H. Eberly, Science 323, 598 (2009)
R. Lo Franco, B. Bellomo, S. Maniscalco, G. Compagno, Int. J. Mod. Phys. B 27, 1345053 (2013)
M. Javed, S. Khan, S.A. Ullah, J. Russ. Laser Res. 37, 562 (2016)
C. Benedetti, F. Buscemi, P. Bordone, M.G.A. Paris, Int. J. Quantum Inf. 10, 1241005 (2012)
T. Duty, D. Gunnarsson, K. Bladh, P. Delsing, Phys. Rev. B 69, 140503(R) (2004)
C. Benedetti, F. Buscemi, P. Bordone, M.G.A. Paris, Phys. Rev. A 87, 052328 (2013)
Y. Lahini, Y. Bromberg, D.N. Christodoulides, Y. Silberberg, Phys. Rev. Lett. 105, 163905 (2010)
C. Thompson, G. Vemuri, G.S. Agarwal, Phys. Rev. A 82, 053805 (2010)
F.F. Olsen, A. Olaya-Castro, N.F. Johnson, J. Phys. Conf. Ser. 84, 012006 (2007)
J. Dajka, M. Mierzejewski, J. Luczka, Phys. Rev. A 77, 042316 (2008)
A. Nourmandipour, M.K. Tavassoly, M. Rafiee, Phys. Rev. A 93, 022327 (2016)
F. Nosrati, A. Mortezapour, R. Lo Franco, Phys. Rev. A 101, 012331 (2020)
P. Bordone, F. Buscemi, C. Benedetti, Fluct. Noise Lett. 11, 1242003 (2012)
N.G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 2007)
G. Vidal, R.F. Werner, Phys. Rev. A 65, 032314 (2002)
M. Horodecki, P. Horodecki, R. Horodecki, Phys. Lett. A 232, 1 (1996)
J. Bergli, Y.M. Galperin, B.L. Altshuler, New J. Phys. 11, 025002 (2009)
D. Zhou, A. Lang, R. Joynt, Quantum Inf. Proc. 9, 727 (2010)
Acknowledgements
The authors would like to thank B. Mojaveri for useful discussions. This research has been supported by a research fund from Azarbaijan Shahid Madani University.
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Akbari-Kourbolagh, Y., Razavian, S. Dynamics of entanglement in a two-qubit system subjected to the joint relaxation and dephasing classical noises. Eur. Phys. J. Plus 135, 284 (2020). https://doi.org/10.1140/epjp/s13360-020-00298-8
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DOI: https://doi.org/10.1140/epjp/s13360-020-00298-8