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

Journals >Laser & Optoelectronics Progress >Volume 59 >Issue 11 >Page 1127002 > Article

Laser & Optoelectronics Progress
Vol. 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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DOI: 10.3788/LOP202259.1127002 Cite this Article Set citation alerts

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 Copy Citation Text

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Effect of different memory time of environmental noise on GQD. (a) Initial state ψ0t=1201+10; (b) initial state ψ0t=00. Other parameters:ωA=ωB=0.5,κA=κB=1,Jz=0.1,Jxy=0.7

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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Relationship between coupling constants Jxy in xy-plane and GQD in non-Markovian environment. (a) Initial state ψ0t=1201+10; (b) initial state ψ0t=1200+11; (c) initial state ψ0t=00. Other parameters: ωA=ωB=0.5,κA=κB=1,Jz=0.1,γ=0.1

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

Download full size

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

Download full size

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

Download full size

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

Download full size

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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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