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Sudden death of distillability in a two-qutrit anisotropic Heisenberg spin model

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Abstract

Sudden death of distillability for a two-qutrit anisotropic Heisenberg XX chain with Dzyaloshinskii–Moriya (DM) interaction in an inhomogeneous magnetic field is studied in detail. By using the negativity and realignment criterion, we show that certain initial prepared free entangled states may become bound entangled or separable states in a finite time. Moreover, the influences of the isotropic bilinear interaction parameter, the external magnetic field strength, the DM interaction parameter, as well as the intrinsic decoherence parameter on the possibility of distillability sudden death (DSD) have been studied. The results show, controlling the isotropic bilinear interaction parameter, the external magnetic field strength, the DM interaction parameter, as well as the intrinsic decoherence parameter, can accelerate the possibility of DSD in the present model.

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References

  1. Yu, T., Eberly, J.H.: Finite-time disentanglement via spontaneous emission. Phys. Rev. Lett. 93, 140404 (2004)

    Article  ADS  Google Scholar 

  2. Yu, T., Eberly, J.H.: Phonon decoherence of quantum entanglement: robust and fragile states. Phys. Rev. B 66, 193306 (2002)

    Article  ADS  Google Scholar 

  3. Sharma, K.K., Awasthi, S.K., Pandey, S.N.: Entanglement sudden death and birth in qubit–qutrit systems under Dzyaloshinskii–Moriya interaction. Quantum Inf. Process. 12, 3437–3447 (2013)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  4. Jaeger, G.S., Sergienko, A.V.: Entanglement sudden death: a threat to advanced quantum key distribution. Nat. Comput. 13, 459–467 (2014)

    Article  MathSciNet  Google Scholar 

  5. Al-Qasimi, A., James, D.F.V.: Sudden death of entanglement at finite temperature. Phys. Rev. A 77, 012117 (2008)

    Article  ADS  Google Scholar 

  6. Jared, H.: Cole: understanding entanglement sudden death through multipartite entanglement and quantum correlations. J. Phys. A Math. Theory 43, 135301 (2010)

    Article  ADS  Google Scholar 

  7. Song, W., Chen, L., Zhu, S.L.: Sudden death of distillability in qutrit–qutrit systems. Phys. Rev. A 80, 012331 (2009)

    Article  ADS  Google Scholar 

  8. Baghbanzadeh, S., Alipour, S., Rezakhani, A.T.: Bound entanglement in quantum phase transitions. Phys. Rev. A 81, 042302 (2010)

    Article  ADS  Google Scholar 

  9. Baghbanzadeh, S., Rezakhani, A.T.: Distillation of free entanglement from bound entangled states using weak measurements. Phys. Rev. A 88, 062320 (2013)

    Article  ADS  Google Scholar 

  10. Shor, P.W., Smolin, J.A., Thapliyal, A.V.: Superactivation of bound entanglement. Phys. Rev. Lett. 90, 107901 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  11. Ali, M.: Distillability sudden death in qutrit–qutrit systems under amplitude damping. J. Phys. B At. Mol. Opt. Phys. 43, 045504 (2010)

    Article  ADS  Google Scholar 

  12. Ali, M.: Distillability sudden death in qutrit–qutrit systems under global and multilocal dephasing. Phys. Rev. A 81, 042303 (2010)

    Article  ADS  Google Scholar 

  13. Ali, M., Huang, J.: Distillability sudden birth of entanglement for qutrit–qutrit systems. Chin. Phys. Lett. 31, 110301 (2014)

    Article  Google Scholar 

  14. Ali, M.: Comments on “Distillability sudden death in qutritqutrit systems under thermal reservoirs”. Chin. Phys. B 23, 090306 (2014)

    Article  Google Scholar 

  15. Guo, Y.N., Fang, M.F., Zhang, S.Y., Liu, X.: Distillability sudden death in two-qutrit systems with external magnetic field and Dzyaloshinskii–Moriya interaction due to decoherence. Eur. Phys. Lett. 108, 47002 (2014)

    Article  ADS  Google Scholar 

  16. Sun, Z., Wang, X.G., Gao, Y.B., Sun, C.P.: Decoherence in time evolution of bound entanglement. Eur. Phys. J. D. 46, 521–530 (2008)

    Article  ADS  Google Scholar 

  17. Cheng, W., Xu, F., Li, H., Wang, G.: Entanglement and distillability in qutrit–qutrit systems by convex linear combination. Int. J. Theor. Phys. 52, 1061–1074 (2013)

    Article  MATH  MathSciNet  Google Scholar 

  18. Albayrak, E.: Thermal entanglement in the anisotropic Heisenberg model with Dzyaloshinskii–Moriya interaction in an inhomogeneous magnetic field. Eur. Phys. J. B 72, 491–496 (2009)

    Article  ADS  Google Scholar 

  19. Milburn, G.J.: Intrinsic decoherence in quantum mechanics. Phys. Rev. A 44, 5401 (1991)

  20. Xu, J.B., Zou, X.B.: Dynamic algebraic approach to the system of a three-level atom in the configuration. Phys. Rev. A 60, 4743 (1999)

    Article  ADS  Google Scholar 

  21. Liu, B.Q., Shao, B., Zou, J.: Tripartite states Bell-nonlocality sudden death with intrinsic decoherence. Phys. Lett. A 374, 1970–1974 (2010)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  22. Horodecki, P., Horodecki, M., Horodecki, R.: Bound entanglement can be activated. Phys. Rev. Lett. 82, 1056 (1999)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  23. Sharma, K.K., Pandey, S.N.: Dzyaloshinskii–Moriya interaction as an agent to free the bound entangled states. arXiv: 1501.00942

  24. Guo, J.L., Song, H.S.: Effects of inhomogeneous magnetic field on entanglement and teleportation in a two-qubit Heisenberg XXZ chain with intrinsic decoherence. Phys. Scr. 78, 045002 (2008)

    Article  ADS  Google Scholar 

  25. Chen, K., Wu, L.A.: A matrix realignment method for recognizing entanglement. Quantum Inf. Comput. 3, 193–202 (2003)

    MATH  MathSciNet  Google Scholar 

  26. Vidal, G., Werner, R.F.: Computable measure of entanglement. Phys. Rev. A 65, 032314 (2002)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This work is 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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Correspondence to Mao-fa Fang.

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Guo, Yn., Fang, Mf., Zou, Hm. et al. Sudden death of distillability in a two-qutrit anisotropic Heisenberg spin model. Quantum Inf Process 14, 2067–2076 (2015). https://doi.org/10.1007/s11128-015-0974-4

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  • DOI: https://doi.org/10.1007/s11128-015-0974-4

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