Kardar-Parisi-Zhang Scaling in Time-Crystalline Matter

Author(s): Romain Daviet, Carl Philipp Zelle, Armin Asadollahi, and Sebastian Diehl We discuss the universal behavior linked to the Goldstone mode associated with the spontaneous breaking of time-translation symmetry in many-body systems, in which the order parameter traces out a limit cycle. We show that this universal behavior is closely tied to Kardar-Parisi-Zhang physics, which… [Phys. Rev. Lett. 135, 047101] Published Tue Jul 22, 2025