Quantum Discord of Heisenberg XYZ Spin Chain in Non-Markovian Environment

doi:10.19596/j.cnki.1001-246x.8393

Abstract

Abstract:

We study dynamical evolution of quantum discord of a two-bit anisotropic Heisenberg XYZ model in a cosine magnetic field using a quantum discord method. With the maximum entangled state $\left|\psi_{A B}\right\rangle=(1 / \sqrt{2})(|11\rangle+|00\rangle)$ as the initial state of the Heisenberg XYZ spin chain, the non-Markovian master equation is solved analytically with the non-Markovian quantum state diffusion method and the reduced density matrix of anisotropic Heisenberg XYZ is obtained; Then we bring it into the quantum discord formula to derive evolution dynamics of quantum discord of the system. It is found that as the environmental correlation coefficient γ is small, quantum discord of the system obviously shows an upward trend. It shows that the non-Markovian environment has a positive effect on the quantum discord of the system. Greater spin coupling coefficient J, J_Z and cosine magnetic field intensity increase the quantum discord as well.

Key words: non-Markovian quantum state diffusion method, quantum discord

Shisheng TANG, AHMAT Abliz. Quantum Discord of Heisenberg XYZ Spin Chain in Non-Markovian Environment[J]. Chinese Journal of Computational Physics, 2022, 39(2): 165-172.

Figures/Tables 5

Fig.1 Time evolution of quantum discord with different environmental correlation coefficient γ (Other parameters are J=4, JZ=0.1, β=0, B=0.1, ω=0.6.)

Fig.2 Time evolution of quantum discord with different spin coupling coefficient J (Other parameters are JZ=0.1, β=0, B=0.1, ω=0.6, γ=0.1.)

Fig.3 Time evolution of quantum discord with different spin coupling coefficient JZ (Other parameters are J=2, β=0, B=0.1, ω=0.6, γ=0.1.)

Fig.4 Time evolution of quantum discord with different anisotropic parameters β on the XY surface (Other parameters are J=4, JZ=0.1, B=0.1, ω=0.6, γ=0.1.)

Fig.5 Time evolution of quantum discord with different time-varying magnetic field intensity B (Other parameters are J=2, JZ=0.1, β=0, ω=0.6, γ=0.1.)

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