• Laser & Optoelectronics Progress
  • Vol. 59, Issue 5, 0527002 (2022)
Akbar Hamutjan, Arapat Ablimit, Fan Yang, Jinfeng Zhang, and Ahmad Abliz*
Author Affiliations
  • School of Physics and Electronic Engineering, Xinjiang Normal University, Urumqi , Xinjiang 830054, China
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    DOI: 10.3788/LOP202259.0527002 Cite this Article Set citation alerts
    Akbar Hamutjan, Arapat Ablimit, Fan Yang, Jinfeng Zhang, Ahmad Abliz. Effect of Non-Markovian Hybrid Bath on Quantum Entanglement and Quantum Dense Coding in Heisenberg XYZ Spin Chain Model[J]. Laser & Optoelectronics Progress, 2022, 59(5): 0527002 Copy Citation Text show less

    Abstract

    Because a heat bath forming the surrounding environment of an open quantum system always contains Bosons and Fermions at the same time, it is more practical to describe the heat bath using a mixed bath rather than a single Bosonic or Fermionic bath. The dynamical evolution properties of the quantum entanglement and quantum dense encoding channel capacity of the Heisenberg XYZ spin chain model coupled with a non-Markovian Bosonic bath and Fermionic bath simultaneously were studied and compared with a non-Markovian single bath using the non-Markovian quantum state diffusion method. The numerical simulation results show that compared with a non-Markovian single bath, the Heisenberg spin chain model coupled with the non-Markovian hybrid bath has higher entanglement, better quantum dense coding, and a longer relaxation time. These results show that the non-Markovian hybrid bath has more advantages than the non-Markovian single bath. A system in the non-Markovian hybrid bath improved quantum entanglement and optimized quantum dense coding.
    Htot=Hsys+HfB+HbB+HfI+HbI
    Hsys=ωAσzA+ωBσzB+JxσxAσxB+JyσyAσyB+JzσzAσzBHfB=kεkckckHbB=rΩrbrbrHfI=k(μkLfck+h.c.)HbI=r(λrLbbr+h.c.)
    tψt=[-iHsys+Lfξt*-LfQ¯(t,ξ*,z*)+Lbzt*-LbO¯(t,z*,ξ*)]ψt,
    Q(t,s,ξ*,z*)ψt=δψtδξs*O(t,s,z*,ξ*)ψt=δψtδzs*
    tQ=[-iHsys,Q]-{Lfξt*,Q}+[Lbzt*,Q]-LfQ¯(-ξ*)Q+QLfQ¯-LbO¯(-ξ*)Q+QLbO¯-Lbδδξs*O¯-Lfδδξb*Q¯tO=[-iHsys+Lfξt*+Lbzt*-LfO¯-LbO¯,O]-Lbδδzs*O¯-Lfδδzs*Q¯
    ρ=Mb{Mf[Pt]}=Mb{Mf[ψt(z*,ξ*)ψt(z*,-ξ*)]},
    dρdt=-i[Hsys,ρ]+[Lf,Mb{Mf{PtQ¯(-ξ)}}]+[Mb{Mf{Q¯Pt}},Lf]+[Lb,Mb{Mf{PtO¯}}]+[Mb{Mf{O¯Pt}},Lb]
    ρt=-i[Hsys,ρ]+[Lf,Q¯ρ]+[Q¯ρ,Lf]+[Lb,O¯ρ]+[O¯ρ,Lb]
    C(ρAB)=max{0,λ1-λ2-λ3-λ4},
    χ=S(ρ¯)-S(ρ)
    ρ¯=i=0imaxpiρi=i=0imaxpi14i=03(UiI2)ρ(UiI2)S(ρ)=-Tr(ρlog2ρ)
    Akbar Hamutjan, Arapat Ablimit, Fan Yang, Jinfeng Zhang, Ahmad Abliz. Effect of Non-Markovian Hybrid Bath on Quantum Entanglement and Quantum Dense Coding in Heisenberg XYZ Spin Chain Model[J]. Laser & Optoelectronics Progress, 2022, 59(5): 0527002
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