Nonequilibrium Criticality at the Onset of Time-Crystalline Order
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866929334442262528 |
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| author | Daviet, Romain Zelle, Carl Philipp Rosch, Achim Diehl, Sebastian |
| author_facet | Daviet, Romain Zelle, Carl Philipp Rosch, Achim Diehl, Sebastian |
| contents | We explore the phase transitions at the onset of time-crystalline order in $O(N)$ models driven out-of-equilibrium. The spontaneous breaking of time translation symmetry and its Goldstone mode are captured by an effective description with $O(N)\times SO(2)$ symmetry. Using the renormalization group and the $ε=4-d$ expansion in a leading two-loop analysis, we identify a new non-equilibrium universality class. Strikingly, it controls the long-distance physics no matter how small the microscopic breaking of equilibrium conditions is. The $O(N=2)\times SO(2)$ symmetry group is realized for magnon condensation in pumped yttirum iron garnet (YIG) films and in exciton-polariton systems with a polarization degree of freedom. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2312_13372 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nonequilibrium Criticality at the Onset of Time-Crystalline Order Daviet, Romain Zelle, Carl Philipp Rosch, Achim Diehl, Sebastian Statistical Mechanics We explore the phase transitions at the onset of time-crystalline order in $O(N)$ models driven out-of-equilibrium. The spontaneous breaking of time translation symmetry and its Goldstone mode are captured by an effective description with $O(N)\times SO(2)$ symmetry. Using the renormalization group and the $ε=4-d$ expansion in a leading two-loop analysis, we identify a new non-equilibrium universality class. Strikingly, it controls the long-distance physics no matter how small the microscopic breaking of equilibrium conditions is. The $O(N=2)\times SO(2)$ symmetry group is realized for magnon condensation in pumped yttirum iron garnet (YIG) films and in exciton-polariton systems with a polarization degree of freedom. |
| title | Nonequilibrium Criticality at the Onset of Time-Crystalline Order |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2312.13372 |