Fig. 5: Noise analysis for our scheme.
From: Dynamic synthesis of Heisenberg-limited spin squeezing
Evolution of the squeezing parameter ξ2 for 5% level of Gaussian stochastic noise adding on a the pulse area A and b the pulse separation τ. The gray curves crowded together denote the result of 500 independent simulations under noises, and the red dashed curves show their average. The black solid curves are the results without noises. Insets in a and b are the corresponding histograms of probability distribution of the consequent optimal squeezing parameter \({\xi }_{\min }^{2}\) for 500 simulations. The ideal cases without noises are indicated by the vertical black dashed lines. c and d The best attainable spin squeezing parameter \({\xi }_{\min }^{2}\) as a function of the fixed relative error of pulse area A and pulse separation τ, respectively, for our scheme (red solid balls). The black dashed lines denote the optimal spin squeezing obtained by the effective OAT dynamics for comparison. Parameters are Ns = Nj = 50 and τ = 0.01(g−1).
