Effects of colored noise on the dynamics of quantum entanglement of a one-parameter qubit—qutrit system
Odette Melachio Tiokang1,2, Fridolin Nya Tchangnwa2, Jaures Diffo Tchinda2, Arthur Tsamouo Tsokeng1, and Martin Tchoffo1,3,†
1 Research Unit of Condensed Matter, Electronic and Signal Processing, Department of Physics, Dschang School of Sciences and Technology, University of Dschang, PO Box:67 Dschang, Cameroon; 2 Material Science Research Group, Physics Laboratory, Department of Physics, Post Graduate School, University of Maroua, PO Box:814 Maroua, Cameroon; 3 Centre d'Etudes et de Recherches en Agronomie et en Biodiversite, Faculte d'Agronomie et des Sciences Agricoles, Universite de Dschang, Cameroun
Abstract We analyzed the effect of colored noise on the negativity dynamics of a hybrid system consisting of a qubit-qutrit and not interacting, prepared from the start in an entangled one-parameter state and acting with noise in local and non-local environments. In this pink and brown noise we investigated two different situations: in the first situation, the noise is produced by a bistable oscillator with an unknown exchange rate; however, in the second situation, the noise is generated by a set of bistable oscillators. We found that entanglement decreases with time to zero, and undergoes the phenomenon of sudden death and rebirth. The pink noise is more prone to entanglement than the brown noise and the non-local environment is more prone to entanglement than the local one. When the number of fluctuators is increased, entanglement decays faster and finally, for certain parameters of the initial state, the subsystems are not affected by the noise.
Received: 18 June 2021
Revised: 12 September 2021
Accepted manuscript online:
PACS:
03.67.Mn
(Entanglement measures, witnesses, and other characterizations)
Corresponding Authors:
Martin Tchoffo,E-mail:mtchoffo2000@yahoo.fr
E-mail: mtchoffo2000@yahoo.fr
About author: 2021-10-13
Cite this article:
Odette Melachio Tiokang, Fridolin Nya Tchangnwa, Jaures Diffo Tchinda,Arthur Tsamouo Tsokeng, and Martin Tchoffo Effects of colored noise on the dynamics of quantum entanglement of a one-parameter qubit—qutrit system 2022 Chin. Phys. B 31 050306
[1] Schrodinger E 1935Naturwissenschaften23 844 [2] Zhang S L, Guo J S, Shi J H and Zou X B 2016Chin. Phys. Lett.33 070303 [3] Tan J T, Luo Y R, Zhou Z and Hai W H 2016Chin. Phys. Lett.33 070302 [4] Benedetti C, Buscemi F, Bordone P and Paris M G 2013Phys. Rev. A87 052328 [5] Zhang S L, Jin C H, Shi J H, Guo J S, Zou X B and Guo G C 2017Chin. Phys. Lett.34 040302 [6] Zhang S L, Jin C H, Guo J S, Shi J H, Zou X B and Guo G C 2016Chin. Phys. Lett.33 120302 [7] Yu T and Eberly J H 2009Science323 598 [8] Giulini D 1996Decoherence and the Appearance of a Classical World in Quantum Theory (Springer) pp. 187-222 [9] Genkin M 2017Dynamical Properties of a Living Nematic (Doctoral dissertation, Northwestern University) [10] Hu M L and Fan H 2012Ann. Phys.327 851 [11] Maniscalco S, Olivares S and Paris M G 2007Phys. Rev. A75 062119 [12] Vasile R, Giorda P, Olivares S, Paris M G and Maniscalco S 2010Phys. Rev. A82 012313 [13] Vasile R, Olivares S, Paris M A and Maniscalco S 2011Phys. Rev. A83 042321 [14] Brida G, Degiovanni I P, Florio A, Genovese M, Giorda P, Meda A and Shurupov A 2010Phys. Rev. Lett.104 100501 [15] Ferraro A and Paris M G 2012Phys. Rev. Lett.108 260403 [16] Warren W S, Gershenfeld N and Chuang I 1997Science277 1688 [17] Filgueiras J G, Maciel T O, Auccaise R E, Vianna R O, Sarthour R S and Oliveira I S 2012Quantum Inf. Process.11 1883 [18] Buscemi F, Bordone P and Bertoni A 2010Phys. Rev. B81 045312 [19] Buscemi F 2011Phys. Rev. A83 012302 [20] Sarovar M, Ishizaki A, Fleming G R and Whaley K B 2010Nat. Phys.6 462 [21] Fassioli F and Olaya-Castro A 2010New J. Phys.12 085006 [22] Yu T and Eberly J H 2004Phys. Rev. Lett.93 140404 [23] Yang Q, Yang M, Li D C and Cao Z L 2012Int. J. Theor. Phys.51 2160 [24] Cao X F and Zheng H 2009Eur. Phys. J. B68 209 [25] Mazzola L, Piilo J and Maniscalco S 2010Phys. Rev. Lett.104 200401 [26] Ma J, Sun Z, Wang X and Nori F 2012Phys. Rev. A85 062323 [27] Bellomo B, Franco R L and Compagno G 2007Phys. Rev. Lett.99 160502 [28] Xu J 2020Chin. Phys. B29 010301 [29] Jin Z X and Qiao C F 2020Chin. Phys. B29 020305 [30] Guo M L, Li B, Wang Z X and Fei S M 2020Chin. Phys. B29 070304 [31] Golkar S, Tavassoly M K and Nourmandipour A 2020Chin. Phys. B29 050304 [32] Liu Y, Liang S L, Jin G R, Yu Y B, Lan J Y, He X B and Guo K X 2020Chin. Phys. B29 050301 [33] Zhang S X, Liu T H, Cao S, Liu Y T, Geng S B and Lian Y J 2020Chin. Phys. B29 050402 [34] Nielsen M A and Chuang I L 2000Quantum Computing and Quantum Information (Cambridge: Cambridge University Press) [35] Horodecki R, Horodecki P, Horodecki M and Horodecki K 2009Rev. Mod. Phys.81 865 [36] Bennet C H and Wiesner S J 1992Phys. Rev. Lett.69 2881 [37] Byers N and Yang C N 1961Phys. Rev. Lett.7 46 [38] Franco R L and Compagno G 2018Phys. Rev. Lett.120 240403 [39] Johnson J B 1925Phys. Rev.26 71 [40] Kakuyanagi K, Meno T, Saito S, Nakano H, Semba K, Takayanagi H, Deppe F and Shnirman A 2007Phys. Rev. Lett.98 047004 [41] Burkard G 2009Phys. Rev. B79 125317 [42] Benedetti C 2015Decoherence, non-Markovianity and quantum estimation in qubit systems subject to classical noise [43] Weissman M B 1988Rev. Mod. Phys.60 537 [44] Galperin Y M, Altshuler B L, Bergli J and Shantsev D V 2006Phys. Rev. Lett.96 097009 [45] Benedetti C, Buscemi F, Bordone P and Paris M G 2013Phys. Rev. A87 052328 [46] Kenfack L T, Tchoffo M and Fai L C 2019Int. J. Theor. Phys.58 4278 [47] Ludviksson A, Kree R and Schmid A 1984Phys. Rev. Lett.52 950 [48] Kogan S M and Nagaev K E 1984Solid State Commun.49 387 [49] Waldherr G, Wang Y, Zaiser S, et al. 2014Nature506 204 [50] Karpat G and Gedik Z 2011Phys. Lett. A375 4166 [51] Karpat G and Gedik Z 2013Physica ScriptaT153 014036 [52] Basit A, Ali H, Badshah F and Ge G Q 2017Commun. Theor. Phys.68 29 [53] Zhou D, Lang A and Joynt R 2010Quantum Inf. Process.9 727 [54] Abel B and Marquardt F 2008Phys. Rev. B78 201302 [55] Paladino E, D'arrigo A, Mastellone A and Falci G 2011New J. Phys.13 093037 [56] Bellomo B, Compagno G, D'Arrigo A, Falci G, Franco R L and Paladino E 2010Phys. Rev. A81 062309 [57] Kuopanportti P, Möttönen M, Bergholm V, Saira O P, Zhang J and Whaley K B 2008Phys. Rev. A77 032334 [58] Benedetti C, Buscemi F, Bordone P and Paris M G 2012Int. J. Quantum Inf.10 1241005 [59] Vidal G and Werner R F 2002Phys. Rev. A65 032314 [60] Buscemi F and Bordone P 2011Phys. Rev. A84 022303 [61] Arjmandi M B 2019Can. J. Phys.97 42 [62] Yang Q, Yang M, Li D C and Cao Z L 2012Int. J. Theor. Phys.51 2160 [63] Mazzola L, Maniscalco S, Piilo J, Suominen K A and Garraway B M 2009Phys. Rev. A79 042302 [64] Tchoffo M, Tsokeng A T, Tiokang O M, Nganyo P N and Fai L C 2019Phys. Lett. A383 1856
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