{"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/fate-of-measurement-induced-phase-transition","title":"Fate of measurement-induced phase transition in long-range interactions","arxiv_id":"2104.09118","date":"2021-04-19","proceeding":null,"authors":["Takaaki Minato","Koudai Sugimoto","Tomotaka Kuwahara","Keiji Saito"],"abstract":"We consider quantum many-body dynamics under quantum measurements, where the measurement-induced phase transitions (MIPs) occur when changing the frequency of the measurement. In this work, we consider the robustness of the MIP for long-range interaction that decays as $r^{-\\alpha}$ with distance $r$. The effects of long-range interactions are classified into two regimes: (i) the MIP is observed $(\\alpha > \\alpha_c)$, and (ii) the MIP is absent even for arbitrarily strong measurements $(\\alpha<\\alpha_c)$. Using fermion models, we demonstrate both regimes in integrable and non-integrable cases. We identify the underlying mechanism and propose sufficient conditions to observe the MIP, that is, $\\alpha > d/2+1$ for general bilinear systems and $\\alpha > d+1$ for general non-integrable systems ($d$: spatial dimension). Numerical calculation indicates that these conditions are optimal.","url_abs":"https://arxiv.org/abs/2104.09118v3","url_pdf":"https://arxiv.org/pdf/2104.09118v3.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":"fate-of-measurement-induced-phase-transition","repo_url":"https://github.com/ryuikaneko/lindblad_free_fermion","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}