Analyses of the transmission of the disorder from a disturbed environment to a spin chain
详细信息    查看全文
  • 作者:Lucile Aubourg (1)
    David Viennot (1)

    1. CNRS UMR 6213
    ; Institut UTINAM ; Universit茅 de Bourgogne-Franche-Comt ; Observatoire de Besan莽on ; 41bis Avenue de l鈥橭bservatoire ; BP 1615 ; 25010 ; Besan莽on Cedex ; France
  • 关键词:Spin chain ; Heisenberg coupling ; Ising ; Z coupling ; Ising ; X coupling ; Decoherence ; Entanglement
  • 刊名:Quantum Information Processing
  • 出版年:2015
  • 出版时间:March 2015
  • 年:2015
  • 卷:14
  • 期:3
  • 页码:1117-1150
  • 全文大小:12,295 KB
  • 参考文献:1. Breuer, H.-P., Petruccione, F.: The Theory of Open Quantum Systems. Oxford University Press, New York (2002)
    2. Lages, J., Dobrovitski, V.V., Katsnelson, M.I., De Raedt, H.A., Harmon, B.N.: Decoherence by a chaotic many-spin bath. Phys. Rev.Rev. E 72, 026225 (2005)
    3. Gedik, Z.: Spin bath decoherence of quantum entanglement. Solid State Commun. 138, 82 (2006)
    4. Lages, J., Shepelyansky, D.L.: Suppression of quantum chaos in a quantum computer hardware. Phys. Rev. E 74, 026208 (2006)
    5. Rossini, D., Calarco, T., Giovannetti, V., Montangero, S., Fazio, R.: Decoherence induced by interacting quantum spin baths. Phys. Rev. A 75, 032333 (2007)
    6. Zhou, Z., Chu, S.I., Han, S.: Relaxation and decoherence in a resonantly driven qubit. J. Phys. B At. Mol. Opt. Phys. 41, 045506 (2008)
    7. Castagnino, M., Fortin, S., Lombardi, O.: Suppression of decoherence in a generalization of the spin bath model. J. Phys. A: Math. Theor. 43, 065304 (2010)
    8. Xu, Q., Sadiek, G., Kais, S.: Dynamics of entanglement in a two-dimensional spin system. Phys. Rev. A 83, 062312 (2011)
    9. Brox, H., Bergli, J., Galperin, Y.M.: Importance of level statistics in the decoherence of a central spin due to a spin environment. Phys. Rev. A 85, 052117 (2012)
    10. Prosen, T.: Exact time-correlation functions of quantum Ising chain in a kicking transversal magnetic field. Prog. Theor. Phys. Suppl. 139, 191 (2000)
    11. Prosen, T., Seligman, T.H.: Decoherence of spin echoes. J. Phys. A: Math. Gen. 35, 4707 (2002)
    12. Prosen, T.: General relation between quantum ergodicity and fidelity of quantum dynamics. Phys. Rev. E 65, 036208 (2002)
    13. Prosen, T.: Ruelle resonances in kicked quantum spin chain. Phys. D 187, 244 (2004)
    14. Lakshminarayan, A., Subrahmanyam, V.: V.: Multipartite entanglement in a one-dimensional time dependent Ising model. Phys. Rev. A 71, 062334 (2005)
    15. Boness, T., Stocklin, M.M.A., Monteiro, T.S.: Quantum chaos with spin-chains in pulsed magnetic fields. arXiv:quant-ph/0612074 (2006) (preprint)
    16. Pineda, C., Prosen, T.: Universal and nonuniversal level statistics in a chaotic quantum spin chain. Phys. Rev. E 76, 061127 (2007)
    17. Viennot, D., Aubourg, L.: Decoherence, relaxation, and chaos in a kicked-spin ensemble. Phys. Rev. E 87, 062903 (2013)
    18. Husimi, K.: Some formal properties of the density matrix. Proc. Phys. Math. Soc. Jpn. 22, 264 (1940)
    19. Viennot, D.: Geometric phases in adiabatic Floquet theory, abelian gerbes and Cheon鈥檚 anholonomy. J. Phys. A Math. Theor. 42, 395302 (2009)
    20. Bengtsson, I., 呕yckowski, K.: Geometry of Quantum States. Cambridge University Press, Cambridge (2006) 35048" target="_blank" title="It opens in new window">CrossRef
  • 刊物类别:Physics and Astronomy
  • 刊物主题:Physics
    Physics
    Mathematics
    Engineering, general
    Computer Science, general
    Characterization and Evaluation Materials
  • 出版者:Springer Netherlands
  • ISSN:1573-1332
文摘
We study spin chains submitted to disturbed kick trains described by classical dynamical processes. The spin chains are described by Heisenberg and Ising models. We consider decoherence, entanglement and relaxation processes induced by the kick irregularity in the multipartite system (the spin chain). We show that the different couplings transmit the disorder along the chain differently and also to each spin density matrix with different efficiencies. In order to analyze and to interpret the observed effects, we use a semi-classical analysis across the Husimi distribution. It consists to consider the classical spin orientation movements. A possibility of conserving the order into the spin chain is finally analyzed.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700