Analytical solution and applications of three qubits in three coupled modes without rotating wave approximation

  • Jian-Song Zhang
  • Liu-Juan Zhang
  • Ai-Xi Chen
  • Mahmoud Abdel-Aty


We study the dynamics of the three-qubit system interacting with multi-mode without rotating wave approximation (RWA). A physical realization of the system without direct qubits interactions with dephasing bath is proposed. It is shown that non-Markovian characters of the purity of the three qubits and the coupling strength of modes are stronger enough the RWA is no longer valid. The influences of the dephasing of qubits and interactions of modes on the dynamics of genuine multipartite entanglement and bipartite correlations of qubits are investigated. The multipartite and bipartite quantum correlations could be generated faster if we increase the coupling strength of modes and the RWA is not valid when the coupling strength is strong enough. The unitary transformations approach adopted here can be extended to other systems such as circuit or cavity quantum electrodynamic systems in the strong coupling regime.


Quantum correlation Three-qubit system Dephasing 



This work was supported by the National Natural Science Foundation of China (Grant Nos. 11365009 and 11065007) and the Scientific Research Foundation of Jiangxi (Grant Nos. 20151BAB202020 and 20161BBE50069).


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

Authors and Affiliations

  • Jian-Song Zhang
    • 1
  • Liu-Juan Zhang
    • 1
  • Ai-Xi Chen
    • 2
    • 3
  • Mahmoud Abdel-Aty
    • 4
    • 5
    • 6
  1. 1.Department of Applied PhysicsEast China Jiaotong UniversityNanchangPeople’s Republic of China
  2. 2.Department of PhysicsZhejiang Sci-Tech UniversityHangzhouPeople’s Republic of China
  3. 3.Institute for Quantum ComputingUniversity of WaterlooOntarioCanada
  4. 4.Applied Science UniversitySitraBahrain
  5. 5.Zewail City of Science and TechnologyGizaEgypt
  6. 6.Sohag UniversitySohagEgypt

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