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We benchmark the discrete truncated Wigner approximation (DTWA) andartificial neural networks (ANN) of restricted Boltzmann machine methods withthe exact excitation and correlation dynamics in a chain of ten Rydberg atoms.The initial state is where all atoms are in their electronic ground state. Wecharacterize the excitation dynamics using the maximum and average number ofRydberg excitations. DTWA and ANN are reliable for sufficiently smallRydberg-Rydberg interactions but fail at large interaction strengths to capturethe excitation dynamics. Concerning the correlations, ANN looks more promisingamong the two methods as the second-order bipartite and average two-siteR\'enyi entropies are captured accurately when the Rydberg-Rydberg interactionsare small. The second-order DTWA can accurately quantify the correlations forinitial periods for small interaction strengths but fail for largeinteractions.

Benchmarking discrete truncated Wigner approximation and restricted Boltzmann neural networks with the exact dynamics of a Rydberg atomic chain