Kardar-Parisi-Zhang scaling in time-crystalline matter
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866915421879271424 |
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| author | Daviet, Romain Zelle, Carl Philipp Asadollahi, Armin Diehl, Sebastian |
| author_facet | Daviet, Romain Zelle, Carl Philipp Asadollahi, Armin Diehl, Sebastian |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_09677 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kardar-Parisi-Zhang scaling in time-crystalline matter Daviet, Romain Zelle, Carl Philipp Asadollahi, Armin Diehl, Sebastian Statistical Mechanics 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. |
| title | Kardar-Parisi-Zhang scaling in time-crystalline matter |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2412.09677 |