The paper presents the first experimental observation of a discrete time crystal (DTC) in an interacting spin chain of trapped atomic ions. The researchers applied a periodic Hamiltonian under many-body localization (MBL) conditions and observed a sub-harmonic temporal response that was robust to external perturbations. This DTC phase, characterized by persistent long-range spatial-temporal correlations, is a novel state of matter that emerges under non-equilibrium conditions. The study demonstrates the ability to control the interplay between strong drive, interactions, and disorder, which are key ingredients for the DTC. The results provide insights into the dynamics of out-of-equilibrium quantum systems and open avenues for studying topological order and quantum information tasks.The paper presents the first experimental observation of a discrete time crystal (DTC) in an interacting spin chain of trapped atomic ions. The researchers applied a periodic Hamiltonian under many-body localization (MBL) conditions and observed a sub-harmonic temporal response that was robust to external perturbations. This DTC phase, characterized by persistent long-range spatial-temporal correlations, is a novel state of matter that emerges under non-equilibrium conditions. The study demonstrates the ability to control the interplay between strong drive, interactions, and disorder, which are key ingredients for the DTC. The results provide insights into the dynamics of out-of-equilibrium quantum systems and open avenues for studying topological order and quantum information tasks.