{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/the-timescales-of-quantum-breaking","title":"The Timescales of Quantum Breaking","arxiv_id":"2306.09410","date":"2023-06-15","proceeding":null,"authors":["Marco Michel","Sebastian Zell"],"abstract":"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 $t_q\\sim N^\\gamma$ ($0<\\gamma<1$). As an outlook, we point out possibilities for transferring our results to black holes and expanding spacetimes.","url_abs":"https://arxiv.org/abs/2306.09410v2","url_pdf":"https://arxiv.org/pdf/2306.09410v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"the-timescales-of-quantum-breaking","repo_url":"https://github.com/marco-michel/quantumbreaking-timescales","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}