The study of the long-time dynamics of quantum systems can be a real challenge, especially in systems such as ultracold gases, where the required timescales may be longer than the lifetime of the system itself. In this Letter, we show that it is possible to access the long-time spin dynamics of a strongly repulsive atomic gas mixture in shorter times. The shortcut-to-dynamics protocol that we propose does not modify the fate of the observables, but effectively jumps ahead in time without changing the system's inherent evolution. Just as the next-chapter button in a movie player that allows to quickly reach the part of the movie one wants to watch, it is a leap into the future.

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• Quantum protocols
• Spin dynamics
• Strong interaction
• 1-dimensional systems
• Ultracold gases
• Exact solutions for many-body systems
• Scaling methods