The Timescales of Quantum Breaking
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913665523908608 |
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| author | Michel, Marco Zell, Sebastian |
| author_facet | Michel, Marco Zell, Sebastian |
| contents | Due to the inevitable existence of quantum effects, a classical description generically breaks down after a finite quantum break-time $t_q$. We aim to find criteria for determining $t_q$. To this end, we construct a new prototype model that features numerous dynamically accessible quantum modes. Using explicit numerical time evolution, we establish how $t_q$ depends on the parameters of the system such as its particle number $N$. The presence of a classical instability leads to $t_q \sim \ln N$ or $t_q\sim \sqrt{N}$. In the stable case, we observe $t_q\sim N$, although full quantum breaking may not take place at all. We find that the different regimes merge smoothly with $t_q\sim N^γ$ ($0<γ<1$). As an outlook, we point out possibilities for transferring our results to black holes and expanding spacetimes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_09410 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Timescales of Quantum Breaking Michel, Marco Zell, Sebastian Quantum Physics Quantum Gases Statistical Mechanics General Relativity and Quantum Cosmology High Energy Physics - Theory Due to the inevitable existence of quantum effects, a classical description generically breaks down after a finite quantum break-time $t_q$. We aim to find criteria for determining $t_q$. To this end, we construct a new prototype model that features numerous dynamically accessible quantum modes. Using explicit numerical time evolution, we establish how $t_q$ depends on the parameters of the system such as its particle number $N$. The presence of a classical instability leads to $t_q \sim \ln N$ or $t_q\sim \sqrt{N}$. In the stable case, we observe $t_q\sim N$, although full quantum breaking may not take place at all. We find that the different regimes merge smoothly with $t_q\sim N^γ$ ($0<γ<1$). As an outlook, we point out possibilities for transferring our results to black holes and expanding spacetimes. |
| title | The Timescales of Quantum Breaking |
| topic | Quantum Physics Quantum Gases Statistical Mechanics General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2306.09410 |