Rare events, time crystals and symmetry-breaking dynamical phase transitions
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916195265937408 |
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| author | Hurtado-Gutiérrez, Rubén |
| author_facet | Hurtado-Gutiérrez, Rubén |
| contents | In this PhD thesis, I investigate the properties of symmetry-breaking dynamical phase transitions that manifest in the fluctuations of time-integrated observables within classical systems. In particular, I analyze how these phase transitions impose stringent constraints on the structure of the eigenvectors of the system dynamical generator of the dynamics. Additionally, I identify a dynamical phase transition to a time-crystal phase in a model of driven-diffusive lattice gas. The study of this transition then allows the identification of the "packing-field" mechanism responsible for its emergence. This mechanism is then exploited to propose new transport models displaying time-crystal behavior. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04135 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rare events, time crystals and symmetry-breaking dynamical phase transitions Hurtado-Gutiérrez, Rubén Statistical Mechanics In this PhD thesis, I investigate the properties of symmetry-breaking dynamical phase transitions that manifest in the fluctuations of time-integrated observables within classical systems. In particular, I analyze how these phase transitions impose stringent constraints on the structure of the eigenvectors of the system dynamical generator of the dynamics. Additionally, I identify a dynamical phase transition to a time-crystal phase in a model of driven-diffusive lattice gas. The study of this transition then allows the identification of the "packing-field" mechanism responsible for its emergence. This mechanism is then exploited to propose new transport models displaying time-crystal behavior. |
| title | Rare events, time crystals and symmetry-breaking dynamical phase transitions |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2404.04135 |