Skip to main content
Log in

Non-Markovian entanglement dynamics of two spin-1/2 particles embedded in two separate spin star baths with tunable external magnetic fields

  • Quantum Information
  • Published:
The European Physical Journal D Aims and scope Submit manuscript

Abstract

The exact entanglement dynamics of two spin qubits in two independent spin star baths via a Heisenberg XY interaction in the thermodynamic limit has been investigated by using an operator technique. After the Holstein-Primakoff transformation, the transformed Hamiltonian is effectively equivalent to the Hamiltonian of a Jaynes-Cummings model. The results show that the dynamics of the entanglement exhibits strong non-Markovian behavior and depends on the environmental temperature, the coupling strength between the center spin and the bath, the detuning controlled by a locally applied external magnetic field, as well as the initial state of the two qubits.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000)

  • B.E. Kane, Nature 393, 133 (1998)

  • R. Raussendorf, H.J. Briegel, Phys. Rev. Lett. 86, 5188 (2001)

    Google Scholar 

  • M. Friesen, P. Rugheimer, D.E. Savage, M.G. Lagally, D.W. van der Weide, R. Joynt, M.A. Eriksson, Phys. Rev. B 67, R121301 (2003)

  • R. de Sousa, J.D. Delgado, S. Das Sarma, Phys. Rev. A. 70, 052304 (2004)

  • H.-P. Breuer, F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2002)

  • U. Weiss, Quantum Dissipative Systems, 2nd edn. (World Scientific, Singapore, 1999)

  • C.A. Sackett et al., Nature 404, 256 (2000)

  • T. Pellizzari, S.A. Gardiner, J.I. Cirac, P. Zoller, Phys. Rev. Lett. 75, 3788 (1995)

    Google Scholar 

  • N.V. Prokof’ev, P.C.E. Stamp, Rep. Prog. Phys. 63, 669 (2000)

    Google Scholar 

  • W.A. Coish, D. Loss, Phys. Rev. B 70, 195340 (2004)

    Google Scholar 

  • J. Schliemann, A. Khaetskii, D. Loss, J. Phys. Cond. Mat. 15, R1809 (2003)

  • X.Z. Yuan, H.J. Goan, K.D. Zhu, Phys. Rev. B 75, 045331 (2007)

    Google Scholar 

  • J. Jing, Z.G. Lü, Phys. Rev. B 75, 174425 (2007)

    Google Scholar 

  • H.-P. Breuer, D. Burgarth, F. Petruccione, Phys. Rev. B 70, 045323 (2004)

    Google Scholar 

  • Ł. Cywiński, W.M. Witzel, S.D. Sarma, Phys. Rev. A 79, 245314 (2009)

    Google Scholar 

  • G. Burkard, Phys. Rev. B 79, 125317 (2009)

    Google Scholar 

  • S. Nakajima, Prog. Theor. Phys. 20, 948 (1958)

    Google Scholar 

  • R. Zwanzig, J. Chem. Phys. 33, 1338 (1960)

    Google Scholar 

  • A. Royer, Phys. Rev. A 6, 1741 (1972)

    Google Scholar 

  • N.G. van Kampen, Physica (Amsterdam) 74, 215 (1974)

    Google Scholar 

  • N.G. van Kampen, Physica (Amsterdam) 74, 239 (1974)

    Google Scholar 

  • E. Ferraro, H.-P. Breuer, A. Napoli, M.A. Jivulescu, A. Messina, Phys. Rev. B 78, 064309 (2008)

    Google Scholar 

  • A. Shabani, D.A. Lidar, Phys. Rev. A 71, R020101 (2005)

  • D.A. Lidar, Z. Bihary, K.B. Whaley, Chem. Phys. 268, 35 (2001)

    Google Scholar 

  • J. Jing, Z.G. Lü, G.H. Yang, Phys. Rev. A 76, 032322 (2007)

    Google Scholar 

  • Y. Hamdouni, M. Fannes, F. Petruccione, Phys. Rev. B 73, 245323 (2006)

    Google Scholar 

  • Y. Hamdouni, F. Petruccione, Phys. Rev. B 76, 174306 (2007)

    Google Scholar 

  • Y. Hamdouni, J. Phys. A: Math. Theor. 42, 315301 (2009)

    Google Scholar 

  • A. Hutton, S. Bose, Phys. Rev. A 69, 042312 (2004)

    Google Scholar 

  • B. Bellomo, R. Lo Franco, G. Compagno, Phys. Rev. Lett. 99, 160502 (2007)

    Google Scholar 

  • B. Bellomo, R. Lo Franco, G. Compagno, Phys. Rev. A 77, 032342 (2008)

    Google Scholar 

  • H. Krovi, O. Oreshkov, M. Ryazanov, D.A. Lidar, Phys. Rev. A 76, 052117 (2007)

    Google Scholar 

  • T. Holstein, H. Primakoff, Phys. Rev. 58, 1098 (1949)

    Google Scholar 

  • W.K. Wootters, Phys. Rev. Lett. 80, 2245 (1998)

    Google Scholar 

  • S. Bose, P.L. Knight, M.B. Plenio, V. Vedral, Phys. Rev. Lett. 83, 5158 (1999)

    Google Scholar 

  • T. Yu, J.H. Eberly, Quantum Inf. Comput. 7, 459 (2007)

    Google Scholar 

  • Z.H. Wang, B.S. Wang, Z.B. Su, Phys. Rev. B 79, 104428 (2009)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to X. Xiao.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xiao, X., Fang, M., Li, Y. et al. Non-Markovian entanglement dynamics of two spin-1/2 particles embedded in two separate spin star baths with tunable external magnetic fields. Eur. Phys. J. D 57, 447–453 (2010). https://doi.org/10.1140/epjd/e2010-00065-0

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjd/e2010-00065-0

Keywords

Navigation