  We show here through experiments and exact analytical models the emergence of
discrete time translation symmetry breaking in non-interacting systems. These
time-periodic structures become stable against perturbations only in the
presence of their interaction with the ancillary quantum system and display
subharmonic response over a range of rotation angle errors. We demonstrate this
effect for central spin and spin-mechanical systems, where the ancillary
induced interaction among the spins stabilizes the spin dynamics against finite
errors. Further, we extend these studies and show the possibility to even
achieve non-local (remote) synchronization of such Floquet crystals.
