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Kardar-Parisi-Zhang scaling in time-crystalline matter

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arxiv 2412.09677 v2 pith:2IOHRIAJ submitted 2024-12-12 cond-mat.stat-mech

Romain Daviet , Carl Philipp Zelle , Armin Asadollahi , Sebastian Diehl This is my paper
classification cond-mat.stat-mech
keywords systemsactivebehaviorkardar-parisi-zhangmatterscalinguniversalaffect
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Observation of Kardar-Parisi-Zhang universal scaling in two dimensions

    quant-ph 2025-06 conditional novelty 7.0 of 10

    Phase correlations in two-dimensional exciton-polariton condensates collapse onto the 2D KPZ universal scaling curve with exponents close to theoretical predictions.

  2. Only the Ambidextrous Can Flock: Two-dimensional Chiral Malthusian Flocks, Time Cholesterics, and the KPZ Equation

    cond-mat.soft 2025-06 conditional novelty 7.0 of 10

    Chiral Malthusian flocks in 2D map onto the (2+1)-dimensional KPZ equation, making their equal-time velocity correlations short-ranged.

  3. Hydrodynamic Theory of Two-dimensional Chiral Malthusian Flocks

    cond-mat.soft 2025-07 conditional novelty 6.0 of 10

    Two-dimensional chiral Malthusian flocks map to (2+1)-dimensional KPZ growth, so any chirality destroys long-range order but leaves a weak-chirality cascade of quasi-ordered regimes.

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