Stabilization of long-range order in low-dimensional nonequilibrium $O(N)$ models
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912461284704256 |
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| author | Diessel, Oriana K. Kim, Jaewon Altman, Ehud |
| author_facet | Diessel, Oriana K. Kim, Jaewon Altman, Ehud |
| contents | It is now well established that the Mermin-Wagner theorem can be circumvented in nonequilibrium systems, allowing for the spontaneous breaking of a continuous symmetry and the emergence of long-range order in low dimensions. However, only a few models demonstrating this violation are known, and they often rely on specific mechanisms that may not be generally applicable. In this work, we identify a new mechanism for nonequilibrium-induced long-range order in a class of $O(N)$-symmetric models. Inspired by the role of long-range spatial interactions in equilibrium, consider the effect of non-Markovian dissipation, in stabilizing long range order in low-dimensional nonequilibrium systems. We find that this alone is insufficient, but the interplay of non-Markovian dissipation and slow modes due to conservation laws can effectively suppress fluctuations and stabilize long-range order. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_01959 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stabilization of long-range order in low-dimensional nonequilibrium $O(N)$ models Diessel, Oriana K. Kim, Jaewon Altman, Ehud Statistical Mechanics Mesoscale and Nanoscale Physics Quantum Gases It is now well established that the Mermin-Wagner theorem can be circumvented in nonequilibrium systems, allowing for the spontaneous breaking of a continuous symmetry and the emergence of long-range order in low dimensions. However, only a few models demonstrating this violation are known, and they often rely on specific mechanisms that may not be generally applicable. In this work, we identify a new mechanism for nonequilibrium-induced long-range order in a class of $O(N)$-symmetric models. Inspired by the role of long-range spatial interactions in equilibrium, consider the effect of non-Markovian dissipation, in stabilizing long range order in low-dimensional nonequilibrium systems. We find that this alone is insufficient, but the interplay of non-Markovian dissipation and slow modes due to conservation laws can effectively suppress fluctuations and stabilize long-range order. |
| title | Stabilization of long-range order in low-dimensional nonequilibrium $O(N)$ models |
| topic | Statistical Mechanics Mesoscale and Nanoscale Physics Quantum Gases |
| url | https://arxiv.org/abs/2507.01959 |