Symmetries & Correlations in Continous Time Crystals
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929760370688000 |
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| author | Mukherjee, Ankan Ibrahim, Yeshma Hajdušek, Michal Vinjanampathy, Sai |
| author_facet | Mukherjee, Ankan Ibrahim, Yeshma Hajdušek, Michal Vinjanampathy, Sai |
| contents | We demonstrate the inadequacy of mean-field theory by exploring the effects of initial state correlations on the dynamics of continuous time crystals, necessitating higher-order cumulant expansions. We exemplify this using cat states for which the mean field fails to predict a phase transition but the second order cumulant expansion theory captures it. Motivated by the symmetries of the system, we choose a truncation of cumulant theory at the second-order and demonstrate that it is sufficient to accurately capture the dynamical features overlooked by the mean-field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_15164 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Symmetries & Correlations in Continous Time Crystals Mukherjee, Ankan Ibrahim, Yeshma Hajdušek, Michal Vinjanampathy, Sai Quantum Physics Mesoscale and Nanoscale Physics We demonstrate the inadequacy of mean-field theory by exploring the effects of initial state correlations on the dynamics of continuous time crystals, necessitating higher-order cumulant expansions. We exemplify this using cat states for which the mean field fails to predict a phase transition but the second order cumulant expansion theory captures it. Motivated by the symmetries of the system, we choose a truncation of cumulant theory at the second-order and demonstrate that it is sufficient to accurately capture the dynamical features overlooked by the mean-field. |
| title | Symmetries & Correlations in Continous Time Crystals |
| topic | Quantum Physics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2403.15164 |