Evolution of Geometric Quantum Discord of Two-Bit Heisenberg Spin Chain System in Non-Markovian Environment

Azizigul Abdikirim; Huiting Bai; Aynisa Yasen; Dildar Hitjan; Arapat Ablimit; Ahmad Abliz

doi:10.3788/LOP202259.1127002

Laser & Optoelectronics Progress, Volume. 59, Issue 11, 1127002(2022)

Evolution of Geometric Quantum Discord of Two-Bit Heisenberg Spin Chain System in Non-Markovian Environment

Azizigul Abdikirim, Huiting Bai, Aynisa Yasen, Dildar Hitjan, Arapat Ablimit, and Ahmad Abliz^*

Author Affiliations

School of Physics and Electronic Engineering, Xinjiang Normal University, Urumchi 830054, Xinjiang , China

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Figures & Tables(5)

Fig. 1. Effect of different memory time of environmental noise on GQD. (a) Initial state $ψ_{0} (t) = \frac{1}{\sqrt[]{2}} (|01〉 + |10〉)$ ; (b) initial state $ψ_{0} (t) = |00〉$ . Other parameters: $ω_{A} = ω_{B} = 0.5$ , $κ_{A} = κ_{B} = 1$ , $J_{z} = 0.1$ , $J_{x y} = 0.7$

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Fig. 2. Relationship between coupling constants J_xy in xy-plane and GQD in non-Markovian environment. (a) Initial state $ψ_{0} (t) = \frac{1}{\sqrt[]{2}} (|01〉 + |10〉)$ ; (b) initial state $ψ_{0} (t) = \frac{1}{\sqrt[]{2}} (|00〉 + |11〉)$ ; (c) initial state $ψ_{0} (t) = |00〉$ . Other parameters: $ω_{A} = ω_{B} = 0.5$ , $κ_{A} = κ_{B} = 1$ , $J_{z} = 0.1$ , $γ = 0.1$

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Fig. 3. Relationship between coupling constants J_z in z-plane and GQD in non-Markovian environment. (a) Initial state $ψ_{0} (t) = \frac{1}{\sqrt[]{2}} (|01〉 + |10〉)$ ;(b) initial state $ψ_{0} (t) = \frac{1}{\sqrt[]{2}} (|00〉 + |11〉)$ ;(c) initial state $ψ_{0} (t) = |00〉$ . Other parameters: $ω_{A} = ω_{B} = 0.5$ , $κ_{A} = κ_{B} = 1$ , $J_{x y} = 0.7$ , $γ = 0.1$

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Fig. 4. Three-dimensional plot of GQD with environmental memory time and time. Initial state $ψ_{0} (t) = |00〉$ , $ω_{A} = ω_{B} = 0.5$ , $κ_{A} = κ_{B} = 1$ , $J_{z} = 0.1$ , $J_{x y} = 0.7$

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Fig. 5. Effects of magnetic field and DM interaction on GQD in non-Markovian environment. (a) Initial state $ψ_{0} (t) = \frac{1}{\sqrt[]{2}} (|00〉 + |11〉)$ , $D = 0$ ; (b) initial state $ψ_{0} (t) = \frac{1}{\sqrt[]{2}} (|01〉 + |10〉)$ , $B = 0$ . Other parameters: $ω_{A} = ω_{B} = 0.5$ , $κ_{A} = κ_{B} = 1$ , $J_{x y} = 0.7$ , $J_{z} = 0.1$ , $γ = 0.1$

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Azizigul Abdikirim, Huiting Bai, Aynisa Yasen, Dildar Hitjan, Arapat Ablimit, Ahmad Abliz. Evolution of Geometric Quantum Discord of Two-Bit Heisenberg Spin Chain System in Non-Markovian Environment[J]. Laser & Optoelectronics Progress, 2022, 59(11): 1127002

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Paper Information

Category: Quantum Optics

Received: May. 14, 2021

Accepted: Jul. 18, 2021

Published Online: Jun. 9, 2022

The Author Email: Ahmad Abliz (aahmad@126.com)

DOI:10.3788/LOP202259.1127002

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology