Kardar-Parisi-Zhang scaling in time-crystalline matter
Romain Daviet, Carl Philipp Zelle, Armin Asadollahi, Sebastian Diehl
TL;DR
This paper explores how Kardar-Parisi-Zhang universality governs the scaling behavior of time-crystalline phases, revealing broad implications for various driven and active many-body systems.
Contribution
It establishes a connection between KPZ physics and time-translation symmetry breaking, extending the universality class to diverse non-equilibrium systems.
Findings
KPZ scaling applies to time-crystalline matter in all dimensions
Universal behavior linked to Goldstone modes in time crystals
Relevance of KPZ physics in active matter and driven quantum systems
Abstract
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 can strongly affect the scaling properties in all dimensions. Our work predicts the relevance of KPZ in numerous systems such as nonreciprocal phases in active matter, active magnets, driven-dissipative quantum systems, and synchronization of oscillators.
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