Fig. 2: Numerical Estimation of the Collision Model Error.
a Comparison 〈σz〉(t) between a non-Markovian collision model, for different time steps Δt, with reference TEDOPA results (black solid line). b Main panel: Average error between the collision model dynamics obtained for a given time step Δt and the reference results. Inset: Distance between the steady state expectation 〈σz〉(t → ∞) to the reference results as a function of the collision model time step Δt, the red solid line is a guide to the eye. We can see that Δtth is a threshold value separating two distinct scaling regimes: for Δt < Δtth the average and steady state errors scale as \({{{\mathcal{O}}}}(\Delta {t}^{3})\), and for Δt ≥ Δtth they scale as \({{{\mathcal{O}}}}(\Delta {t}^{2})\). The simulations parameters are ω0 = 0.2ωc, δ = 0, α = 0.1.
