Abstract
In this paper, the dynamics and protection of quantum discord for two uncoupled qubits driven by classical phase noisy laser(CPNL) is investigated. The results show that, the dynamics of quantum discord depends on the ratio of CPNL rate and the system-environment coupling strength. The quantum discord can be well protected by increasing the ratio in the Markovian classical noise region or by decreasing the ratio in the non-Markovian classical noise region. Besides, we explain the revivals of the quantum discord by means of the increase of parameter used to quantify non-Markovianty of the single qubit dynamics in the non-Markovian classical noise region.
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Ollivier, H., Zurek, W.H.: Quantum discord: a measure of the quantumness of correlations. Phys. Rev. Lett. 88, 017901 (2001)
Datta, A., Shaji, A., Caves, C.: Quantum discord and the Power of one qubit. Phys. Rev. Lett. 100, 050502 (2008)
Xu, J.W., Chen, Q.H.: Robustness of quantum discord to sudden death in nuclear magnetic resonance. Chin. Phys. B 21, 040302 (2012)
Liao, X.P., Fang, J.S., Fang, M.F., Huang, Z.: Steady-state discord between two qubits coupled collectively to a thermal reservoir. Int. J. Theor. Phys. 50, 2631–2643 (2011)
Boixo, S., Aolita, L., Cavalcanti, D., Modi, K., Winter, A.: Quantum locking of classical correlations and quantum discord of classical-quantum states. Int. J. Quantum Inf. 9, 1643 (2011)
Werlang, T., Souza, S., Fanchini, F.F., Villas Boas, C.J.: Robustness of quantum discord to sudden death. Phys. Rev. A 80, 024103 (2009)
Mazhar, A., Rau, A.R.P., Alber, G.: Quantum discord for two-qubit X states. Phys. Rev. A 81, 042105 (2010)
Lanyon, B.P., Jurcevic, P., Hempel, C., Gessner, M., Vedral, V., Blatt, R., Roos, C.F.: Experimental generation of quantum discord via noisy processes. Phys. Rev. Lett. 111, 100504 (2013)
Rong, X., Jin, F.Z., Wang, Z.X., Geng, J.P., Ju, C.Y., Wang, Y., Zhang, R.M., Duan, C.K., Shi, M.J., Du, J.F.: Experimental protection and revival of quantum correlation in open solid systems. Phys. Rev. B 88, 054419 (2013)
Aaronson, B., Lo Franco, R., Adesso, G.: Comparative investigation of the freezing phenomena for quantum correlations under nondissipative decoherence. Phys. Rev. A 88, 012120 (2013)
Madsen, L.S., Berni, A., Lassen, M., Andersen, U.L.: Experimental investigation of the evolution of gaussian quantum discord in an open system. Phys. Rev. Lett. 109, 030402 (2012)
Modi, K., Brodutch, A., Cable, H., Paterek, T., Vedral, V.: The classical-quantum boundary for correlations: Discord and related measures. Rev. Mod. Phys. 84, 1655 (2012)
Celeri, L.C., Maziero, J., Serra, R.M.: Theoretical and experimental aspecte of quatum discord and related measures. Int. J. Quantum Inf. 9, 1837 (2011)
Lo Franco, R., Bellomo, B., Maniscalco, S., Compagno, G.: Dynamics of qutuam correlation in two-qubit system within non-Markovian environment. Int. J. Mod. Phys. B 27, 1345053 (2013)
Zhou, D., Lang, A., Joynt, R.: Disentanglement and decoherence from classical non-Markovian noise: random telegraph noise. Quantum. Inf. Proc 9, 727 (2010)
Lo Franco, R., Bellomo, B., Andersson, E., Compagno, G.: Revival of quantum correlations without system-environment back-action. Phys. Rev. A 85, 032318 (2012)
D Arrigo, A., Lo Franco, R., Benenti, G., Paladino, E., Falci, G.: Hidden entanglement in the presence of random telegraph dephasing noise. Phys. Scr. T 153, 014014 (2013)
Wold, H.L., Brox, H., Galperin, Y.M., Bergli, J.: Decoherence of a qubit due to either a quantum fluctuator, or classical telegraph noise. Phys. Rev. B 86, 205404 (2012)
De, A., Lang, A., Zhou, D., Joynt, R.: Suppression of decoherence and disentanglement by the exchange interaction. Phys. Rev. A 83, 042331 (2011)
Wang, Z.H., Guo, Y., Zhou, D.L.: Non-Markovian dynamics in a spin star system: the failure of thermalisation. Eur. Phys. J. D 67, 218 (2013)
Zhang, Y.J., Han, W., Shan, C.J., Xia, Y.J.: Decay of quantum correlation under different non-Markovian environmental models. J. Opt. Soc. Am. B 28, 2060 (2012)
Benedetti, C., Buscemi, F., Bordone, P., Paris Matteo, G.A.: Dynamics of quantum correlations in colored-noise environments. Phys. Rev. A 87, 052328 (2013)
Cresser, J.D., Facer, C.: Marster equations with memory for systems driven by classical noise. Opt. Commun. 283, 773–780 (2010)
Bellomo, B., Lo Franco, R., Andersson, E., Cresser, J.D., Compagno, G.: Dynamics of correlations due to a phase-noisy laser. Phys. Scr. T 147, 014004 (2012)
Schaumloffel, K.U.: White noise in space and time as the time-derivative of a cylindrical Wiener process. Lecture Notes in Mathe. 1390, 225–229 (1989)
Bellomo, B., Lo Franco, R., Compagno, G.: Non-Markovian effects on the dynamics of entanglement. Phys. Rev. Lett. 99, 160502 (2007)
Bellomo, B., Lo Franco, R., Compagno, G.: Entanglement dynamics of two independent qubits in environments with and without memory. Phys. Rev. A 77, 032342 (2008)
Li, J.G., Zou, J., Shao, B.: Entanglement evolution of two qubits under noisy environments. Phys. Rev. A 82, 042318 (2010)
Wang, C.Z., Li, C.X., Liu, Y.N., Li, J.F.: Classical correlation and quantum discord mediated by cavity in two coupled qubits. J. Phys. B: At. Mol. Phys. 44, 015503 (2011)
Rivas, A., Huelga, S.F., Plenio, B.: Entanglement and non-Markovianity of quantum evolutions. Phys. Rev. Lett 105, 050403 (2010)
Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245 (1998)
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Projects supported by the National Natural Science Foundation of China(Grant Nos.11374096 and 11074072)and Hunan Provincial Innovation Foundation for Postgraduate (CX2014B194).
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Guo, YN., Fang, MF., Yang, BY. et al. Dynamics and Protection of Quantum Discord for Two Uncoupled Qubits Driven by Classical Phase Noisy Laser. Int J Theor Phys 54, 830–839 (2015). https://doi.org/10.1007/s10773-014-2277-4
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DOI: https://doi.org/10.1007/s10773-014-2277-4