Subexponential critical slowing-down at a Floquet time-crystal phase transition

Critical slowing down (CSD) has been a trademark of critical dynamics for equilibrium phase transitions many-body system, where the relaxation time system to reach thermal or quantum ground state diverges with size. The crystal transition attracted much attention in recent years it provides scenario dynamics, unlike conventional transitions. Here, we study near Floquet transition. Its behavior is described by introducing space-time coarse grained correlation function, whose at point revealing CSD. This demonstrated investigating one-dimensional disordered spin chain. Through finite-size scaling analysis, show universal sub-exponential point, sharp contrast standard power-law CSD prediction can be readily tested present simulation experiments.