Figure 8

(a) Fidelity and purity of the steady state \(|{{\rm{\Phi }}}_{1}^{0}\rangle \) as a function of gt with the initial state |Φ₀〉 when considering the effect of pure dephasing, where the selected parameters are Ω₁ = 0.037 g, Ω₂ = 0.0775 g, and J = 20 g. We choose the experimental dissipative factors γ = 2.72 × 10⁻⁴  g, κ = 2.8 × 10⁻²  g, and γ _ϕ  = 6.8 × 10⁻⁵  g. (b) Fidelity and purity of the steady state \(|{{\rm{\Phi }}}_{1}^{0}\rangle \), plotted versus the atomic dephasing rate γ _ϕ with the experimental dissipative factors γ = 2.72 × 10⁻⁴  g and κ = 2.8 × 10⁻²  g. γ _ϕ varies from 0 to 1.2 × 10⁻⁴  g at time 8 × 10³/g.