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Effect of decoherence from a spin environment on the entanglement dynamics of two-qutrit states

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Abstract

The entanglement dynamics of a two-qutrit system under decoherence from a spin environment is investigated by using negativity as entanglement measure. Our results imply that the entanglement evolution depends not only on the coupling strength and the tunneling elements of the environment but also on the number of the freedom degrees and the initial state of the environment.

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References

  1. Bennett C H. Quantum cryptography using any two nonorthogonal states. Phys Rev Lett, 1992, 68: 3121–3124

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. Bennett C H, Brassard G, Crepeau C, et al. Teleporting an unknown quantum state via dual classical and Einstein- Podolsky-Rosen channels. Phys Rev Lett, 1993, 70: 1895–1899

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. Nielsen M A, Chuang I L. Quantum Computation and Quantum Information. Cambridge: Cambridge University Press, 2000. 571–574

    MATH  Google Scholar 

  4. Wootters W K. Entanglement of formation of an arbitrary state of two qubits. Phys Rev Lett, 1998, 80: 2245–2248

    Article  ADS  Google Scholar 

  5. Zyczkowski K, Horodecki P, Sanpera A, et al. Volume of the set of separable states. Phys Rev A, 1998, 58: 883–892

    Article  MathSciNet  ADS  Google Scholar 

  6. Peres A. Separability criterion for density matrices. Phys Rev Lett, 1996, 77: 1413–1415

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. Ma X S. Thermal entanglement of a two-qutrit XX spin chain with Dzialoshinski-Moriya interaction. Opt Commun, 2008, 281: 484–488

    Article  ADS  Google Scholar 

  8. Nha H, Zubairy M S. Uncertainty inequalities as entanglement criteria for negative partial-transpose states. Phys Rev Lett, 2009, 101: 130402

    Article  Google Scholar 

  9. Sharma S S, Sharma N K. Four-tangle for pure states. Phys Rev A, 2010, 82: 012340

    Article  MathSciNet  ADS  Google Scholar 

  10. Guo K T, Liang M C, Xu H Y, et al. Entanglement in a two-spin (1/2, 3/2) mixed-spin Heisenberg XX chain with an inhomogeneous external magnetic field. Sci China Phys Mech Astron, 2011, 54(3): 491–495

    Article  ADS  Google Scholar 

  11. Ma X S, Zhang J Y, Cong H S, et al. Effect of Dzialoshinski-Moriya interaction on thermal entanglement of a mixed-spin chain. Sci China Ser G-Phys Mech Astron, 2008, 51(12): 1897–1904

    Article  ADS  Google Scholar 

  12. Wang F, Jia H H, Zhang H L, et al. Thermal entanglement in a mixedspin Heisenberg XXZ model under a nonuniform external magnetic field. Sci China Ser G-Phys Mech Astron, 2009, 52(12): 1919–1924

    Article  ADS  Google Scholar 

  13. Ma X S, Wang A M. Bell violation for the thermal states of an XXZ spin chain with Dzialoshiski-Moriya interaction. Sci China Phys Mech Astron, 2010, 40: 2074–2079

    Article  ADS  Google Scholar 

  14. Hu M L, Tian D P. Effects of impurity on the entanglement of the threequbit Heisenberg XXX spin chain. Sci China Ser G-Phys Mech Astron, 2007, 50(2): 208–214

    Article  MATH  Google Scholar 

  15. Han F. Entanglement dynamics and transfer in a double Jaynes-Cummings model. Chin Sci Bull, 2010, 55(17): 1758–1762

    Article  Google Scholar 

  16. Zurek W H. Decoherence, einselection, and the quantum origins of the classical. Rev Mod Phys, 2003, 75: 715–775

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. Melikidze A, Dobrovitski V V, De Raedt H A, et al. Parity effects in spin decoherence. Phys Rev B, 2004, 70: 014435

    Article  ADS  Google Scholar 

  18. Ma X S, Wang A M, Cao Y. Entanglement evolution of three-qubit states in a quantum-critical environment. Phys Rev B, 2007, 76: 155327

    Article  ADS  Google Scholar 

  19. Sadiek G, Alkurtass B, Omar A. Entanglement in a time-dependent coupled XY spin chain in an external magnetic field. Phys Rev A, 2010, 82: 052337

    Article  ADS  Google Scholar 

  20. Bai Y K, Ye M Y, Wang Z D. Entanglement monogamy and entanglement evolution in multipartite systems. Phys Rev A, 2009, 80: 044301

    Article  ADS  Google Scholar 

  21. Viviescas C, Guevara I, Andre R R C, et al. Entanglement dynamics in open two-qubit systems via diffusive quantum trajectories. Phys Rev Lett, 2010, 105: 210502

    Article  ADS  Google Scholar 

  22. Zhang J F, Long G L, Zhang W, et al. Simulation of Heisenberg XY interactions and realization of a perfect state transfer in spin chains using liquid nuclear magnetic resonance. Phys Rev A, 2005, 72: 012331

    Article  ADS  Google Scholar 

  23. Ai Q, Li Y, Long G L, et al. Creation of entanglement between two electron spins induced by many spin ensemble excitations. Eur Phys J D, 2008, 48: 293–300

    Article  ADS  Google Scholar 

  24. Hao L, Huo W Y, Long G L. Dynamical decoupling method for the suppression of decoherence of the Delta-type three-level atom with finite control pulse length. J Phys B: At Mol Opt Phys, 2008, 41: 125501

    Article  ADS  Google Scholar 

  25. Lombardo F C, Villar P I. Environmentally induced effects on a bipartite two-level system: Geometric phase and entanglement properties. Phys Rev A, 2010, 81: 022115

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  27. Lopez C E, Romero G, Lastra F, et al. Sudden birth versus sudden death of entanglement in multipartite systems. Phys Rev Lett, 2008, 101: 080503

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. School of Electric Engineering and Information, Anhui University of Technology, Ma’anshan, 243002, China

    XiaoSan Ma, MingFan Ren & GuangXing Zhao

  2. Department of Modern Physics, University of Science and Technology of China, Hefei, 230026, China

    AnMin Wang

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  1. XiaoSan Ma
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  2. MingFan Ren
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  3. GuangXing Zhao
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  4. AnMin Wang
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Correspondence to XiaoSan Ma.

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Ma, X., Ren, M., Zhao, G. et al. Effect of decoherence from a spin environment on the entanglement dynamics of two-qutrit states. Sci. China Phys. Mech. Astron. 54, 1833 (2011). https://doi.org/10.1007/s11433-011-4458-y

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