Concurrence of three Jaynes–Cummings systems

  • Wen-Chao Qiang
  • Guo-Hua Sun
  • Qian Dong
  • Oscar Camacho-Nieto
  • Shi-Hai Dong


We apply genuine multipartite concurrence to investigate entanglement properties of three Jaynes–Cummings systems. Three atoms are initially put in GHZ-like state and locally interact with three independent cavities, respectively. We present analytical concurrence expressions for various subsystems including three-atom, three-cavity and some atom-cavity mixed systems. We also examine the global system and illustrate the evolution of its concurrence. Except for the sudden death of entanglement, we find for some initial entanglement parameter \(\theta \), the concurrence of the global system may maintain unchanged in some time intervals.


Jaynes–Cummings model Genuine multipartite concurrence X state 



We would like to thank the editor and kind referees for their invaluable suggestions, which improved the manuscript greatly. This work is supported in part by 20170938-SIP, IPN, Mexico and also supported partially by the CONACYT project under Grant No. 288856-CB-2016.


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • Wen-Chao Qiang
    • 1
  • Guo-Hua Sun
    • 2
  • Qian Dong
    • 3
  • Oscar Camacho-Nieto
    • 3
  • Shi-Hai Dong
    • 3
  1. 1.Faculty of ScienceXi’an University of Architecture and TechnologyXi’anChina
  2. 2.Catedrática CONACYT, Centro de Investigación en Computación, Instituto Politécnico NacionalMexico CityMexico
  3. 3.Laboratorio de Información CuánticaCIDETEC, Instituto Politécnico Nacional, UPALMMexico CityMexico

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