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A metronome spin stabilizes time-crystalline dynamics

A metronome spin stabilizes time-crystalline dynamics

We investigate a disorder-free quantum Ising chain subject to a time-periodic drive that rotates each spin by an angle $\pi(1-\epsilon_i)$. In case all spins experience the same deviation $\epsilon$ and the system is initialized in a fully polarized state, the dynamics is known to be time-crystalline: the magnetization of the …