Resource Assessment of Classical and Quantum Hardware for Post-Quench Dynamics

We estimate the run-time and energy consumption of simulating nonequilibrium dynamics on neutral-atom quantum computers in analog mode, directly comparing their performance to classical methods, namely matrix product states and neural quantum states. By collecting both experimental data from a quantum processing unit (QPU) in analog mode and numerical benchmarks, we enable accurate predictions of run-time and energy consumption for large-scale simulations on both QPUs and classical systems through fitting of theoretical scaling laws. Our analysis shows that neutral-atom devices are already operating in a competitive regime, achieving comparable or superior performance to classical approaches while consuming significantly less energy. These results demonstrate the potential of analog neutral-atom quantum computing for energy-efficient simulation and highlight a viable path toward sustainable computational strategies.