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Non-Markovian Speedup Dynamics in Markovian and Non-Markovian Channels

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Abstract

We have studied the behavior of the open-system dynamics of a spin-qubit subject to the competing actions of Markovian and non-Markovian environments. We theoretically study the dynamics crossovers from Markovian to non-Markovian and from no-speedup to speedup. We find that the energy mismatch between the open-system and non-Markovian environments play a significant role in dynamics transitions. And the transition can be realized by controlling the number of outer spins and the coupling strength with two kinds of decoherence channels, the increase of the number of decoherence channels have the effect on increasing the amount of non-Markovianity and speeding-up evolution of the spin-qubit.

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References

  1. Bekenstein, J.D.: https://doi.org/10.1103/PhysRevLett.46.623. Phys. Rev. Lett. 46, 623 (1981)

    Article  ADS  MathSciNet  Google Scholar 

  2. Giovannetti, V., Lloyd, S., Maccone, L.: https://doi.org/10.1038/nphoton.2011.35. Nat. Photonics 5, 222 (2011)

    Article  ADS  Google Scholar 

  3. Lloyd, S.: https://doi.org/10.1038/35023282. Nature 406, 1047 (2000)

    Article  ADS  Google Scholar 

  4. Deffner, S., Lutz, E.: https://doi.org/10.1103/PhysRevLett.105.170402. Phys. Rev. Lett. 105, 170402 (2010)

    Article  ADS  Google Scholar 

  5. Caneva, T., Murphy, M., Calarco, T., Fazio, R., Montangero, S., Giovannetti, V., Santoro, G.E.: Phys. Rev. Lett. 103, 240501 (2009)

    Article  ADS  Google Scholar 

  6. Mukherjee, V., Carlini, A., Mari, A., Caneva, T., Montangero, S., Calarco, T., Fazio, R., Giovannetti, V.: Phys. Rev. A 88, 062326 (2013)

    Article  ADS  Google Scholar 

  7. Hegerfeldt, G.C.: Phys. Rev. Lett. 111, 260501 (2013)

    Article  ADS  Google Scholar 

  8. Hegerfeldt, G.C.: Phys. Rev. A 90, 032110 (2014)

    Article  ADS  Google Scholar 

  9. Avinadav, C., Fischer, R., London, P., Gershoni, D.: Phys. Rev. B 89, 245311 (2014)

    Article  ADS  Google Scholar 

  10. Wang, Y., Wu, J., Feng, Y., Han, J., Xia, Y., Jiang, Y., Song, J.: Ann. Phy. 553, 2000608 (2021)

    Article  Google Scholar 

  11. Mandelstam, L., Tamm, I.: J. Phys. (USSR) 249, 9 (1945)

    Google Scholar 

  12. Fleming, G.N.: Nuovo Cimento A 16, 232 (1973)

    Article  ADS  Google Scholar 

  13. Anandan, J., Aharonov, Y.: Phys. Rev. Lett. 65, 1697 (1990)

    Article  ADS  MathSciNet  Google Scholar 

  14. Vaidman, L.: Am. J. Phys. 60, 182 (1992)

    Article  ADS  Google Scholar 

  15. Margolus, N., Levitin, L.B.: Phys. D 120, 188 (1998)

    Article  Google Scholar 

  16. Levitin, L.B., Toffoli, T.: Phys. Rev. Lett. 103, 160502 (2009)

    Article  ADS  Google Scholar 

  17. Giovannetti, V., Lloyd, S., Maccone, L.: Phys. Rev. A 67, 052109 (2003)

    Article  ADS  Google Scholar 

  18. Jones, P.J., Kok, P.: Phys. Rev. A 82, 022107 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  19. Zwierz, M.: Phys. Rev. A 86, 016101 (2012)

    Article  ADS  Google Scholar 

  20. Deffner, S., Lutz, E.: J. Phys. A: Math. Theor. 46, 335302 (2013)

    Article  Google Scholar 

  21. Pfeifer, P.: Phys. Rev. Lett. 70, 3365 (1993)

    Article  ADS  Google Scholar 

  22. Pfeifer, P., Frohlich, J.: Rev. Mod. Phys. 67, 759 (1995)

    Article  ADS  Google Scholar 

  23. Taddei, M.M., Escher, B.M., Davidovich, L., de Matos Filho, R.L.: Phys. Rev. Lett. 110, 050402 (2013)

    Article  ADS  Google Scholar 

  24. del Campo, A., Egusquiza, I.L., Plenio, M.B., Huelga, S.F.: Phys. Rev. Lett. 110, 050403 (2013)

    Article  ADS  Google Scholar 

  25. Deffner, S., Lutz, E.: https://doi.org/10.1103/PhysRevLett.111.010402. Phys. Rev. Lett. 111, 010402 (2013)

    Article  ADS  Google Scholar 

  26. Zhang, Y.J., Han, W., Xia, Y., Cao, J., Fan, H.: Sci. Rep. 4, 4890 (2014)

    Article  Google Scholar 

  27. Marvian, I., Lidar, D.A.: Phys. Rev. Lett. 115, 210402 (2015)

    Article  ADS  Google Scholar 

  28. Xu, Z.-Y., Luo, S., Yang, W.L., Liu, C., Zhu, S.: https://doi.org/10.1103/PhysRevA.89.012307. Phys. Rev. A 89, 012307 (2014)

    Article  ADS  Google Scholar 

  29. Liu, C., Xu, Z.Y., Zhu, S.Q.: Phys. Rev. A 91, 022102 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  30. Cimmarusti, A.D., Yan, Z., Patterson, B.D., Corcos, L.P., Orozco, L. A., Deffner, S.: Phys. Rev. Lett. 114, 233602 (2015)

    Article  ADS  Google Scholar 

  31. Liu, H., Yang, W.L., An, J., Xu, Z.Y.: Phys. Rev. A 93, 020105 (2016)

    Article  ADS  Google Scholar 

  32. Sun, Z., Liu, J., Ma, J., Wang, X.: Sci. Rep. 5, 8444 (2015)

    Article  ADS  Google Scholar 

  33. Mirkin, N., Toscano, F., Wisniacki, D.A.: Phys. Rev. A 94, 052125 (2016)

    Article  ADS  Google Scholar 

  34. Wang, Q., Pérez-Bernal, F.: Phys. Rev A 100, 022118 (2019)

    Article  ADS  MathSciNet  Google Scholar 

  35. Shen, H.Z., Li, D.X., Su, S., Zhou, Y.H., Yi, X.X.: Phys. Rev. A 96, 033805 (2017)

    Article  ADS  Google Scholar 

  36. Cirac, J.I., Zoller, P.: Nat. Phys. 8, 264 (2012)

    Article  Google Scholar 

  37. Georgescu, I.M., Ashhab, S., Nori, F.: Rev. Mod. Phys. 86, 153 (2014)

    Article  ADS  Google Scholar 

  38. Behzadi, N., Ahansaz, B., Ektesabi, A., Faizi, E.: Phys. Rev. A 95, 052121 (2017)

    Article  ADS  Google Scholar 

  39. Zhang, Y.J., Han, W., Xia, Y., Cao, J., Fan, H.: Phys. Rev. A 91, 032112 (2015)

    Article  ADS  Google Scholar 

  40. Breuer, H.P., Petruccione, F.: The Theory of Open Quantum Systems. Oxford University Press, Oxford (2007)

    Book  MATH  Google Scholar 

  41. Breuer, H.P., Laine, E.M., Piilo, J.: Phys. Rev. Lett. 103, 210401 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  42. Laine, E.M., Piilo, J., Breuer, H.P.: Phys. Rev. A 81, 062115 (2010)

    Article  ADS  Google Scholar 

  43. Xu, Z.Y., Yang, W.L., Feng, M.: Phys. Rev. A 81, 044105 (2010)

    Article  ADS  Google Scholar 

  44. He, Z., Zou, J., Li, L., Shao, B.: Phys. Rev. A 83, 012108 (2011)

    Article  ADS  Google Scholar 

  45. Lorenzo, S., Plastina, F., Paternostro, M.: Phys. Rev. A 87, 022317 (2013)

    Article  ADS  Google Scholar 

  46. Man, Z.X., An, N.B., Xia, Y.J.: Phys. Rev. A 90, 062104 (2014)

    Article  ADS  Google Scholar 

  47. Xu, K., Zhang, Y.J., Xia, Y.J., Wang, Z.D., Fan, H.: Phys. Rev. A 98, 022114 (2018)

    Article  ADS  Google Scholar 

  48. Shi, Z.-C., Zhang, C., Shen, L.-T., Xia, Y., Yi, X.X., Zheng, S.-B.: Phys. Rev. A 101, 042314 (2020)

    Article  ADS  Google Scholar 

  49. Zeng, H.S., Tang, N., Zheng, Y.P., Wang, G.Y.: Phys. Rev. A 84, 032118 (2011)

    Article  ADS  Google Scholar 

  50. Li, C., Yang, S., Song, J., Xia, Y., Ding, W.: Opt. Express 25, 10961 (2017)

    Article  ADS  Google Scholar 

  51. Sinha, K., Meystre, P., Goldschmidt, E.A., Fatemi, F.K., Rolston, S.L., Solano, P.: Phys. Rev. Lett. 124, 043603 (2020)

    Article  ADS  Google Scholar 

  52. Hanson, R., Dobrovitski, V.V., Feiguin, A.E., Gywat, O., Awschalom, D.D.: Science 320, 352 (2008)

    Article  ADS  Google Scholar 

  53. Reinhard, F., et al.: Phys. Rev. Lett. 108, 200402 (2012)

    Article  ADS  Google Scholar 

  54. Hanson, R., Kouwenhoven, L.P., Petta, J.R., Tarucha, S., Vandersypen, L.M.: Rev. Mod. Phys. 79, 1217 (2007)

    Article  ADS  Google Scholar 

  55. Chekhovich, E.A., Makhonin, M.N., Tartakovskii, A.I., Yacoby, A., Bluhm, H., Nowack, K.C., Vandersypen, L.M.K.: Nat. Mater. 12, 494 (2013)

    Article  ADS  Google Scholar 

  56. Urbaszek, B., Marie, X., Amand, T., Krebs, O., Voisin, P., Maletinsky, P., Högele, A., Imamoglu, A.: Rev. Mod. Phys. 85, 79 (2013)

    Article  ADS  Google Scholar 

  57. Tamarat, P.h., et al.: Phys. Rev. Lett. 97, 083002 (2006)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

This work was financially supported by the National Natural Science Foundation of China (NSFC) (Grant No. 11805089 & No. 91745203 & No. 11504152 and No. 61775011), the Department of education of Liaoning province with Grant No.2020LNQN14, the Natural Science Foundation of Liaoning Province, China (Grant No. 2019-BS-127) & Natural Science Foundation of Liaoning Province No. 20180550661, and Innovation Team of University of Science and Technology Liaoning (No. 2018TD).

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  1. School of Science, University of Science and Technology Liaoning, Anshan, 114051, China

    Jing Nie, Yingshuang Liang, Biao Wang & Xiuyi Yang

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  1. Jing Nie
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  2. Yingshuang Liang
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Correspondence to Xiuyi Yang.

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Nie, J., Liang, Y., Wang, B. et al. Non-Markovian Speedup Dynamics in Markovian and Non-Markovian Channels. Int J Theor Phys 60, 2889–2900 (2021). https://doi.org/10.1007/s10773-021-04885-y

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