{"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/identification-of-quantum-scars-via-phase","title":"Identification of quantum scars via phase-space localization measures","arxiv_id":"2107.06894","date":"2021-07-14","proceeding":null,"authors":["Saúl Pilatowsky-Cameo","David Villaseñor","Miguel A. Bastarrachea-Magnani","Sergio Lerma-Hernández","Lea F. Santos","Jorge G. Hirsch"],"abstract":"There is no unique way to quantify the degree of delocalization of quantum states in unbounded continuous spaces. In this work, we explore a recently introduced localization measure that quantifies the portion of the classical phase space occupied by a quantum state. The measure is based on the $\\alpha$-moments of the Husimi function and is known as the R\\'enyi occupation of order $\\alpha$. With this quantity and random pure states, we find a general expression to identify states that are maximally delocalized in phase space. Using this expression and the Dicke model, which is an interacting spin-boson model with an unbounded four-dimensional phase space, we show that the R\\'enyi occupations with $\\alpha>1$ are highly effective at revealing quantum scars. Furthermore, by analyzing the high moments ($\\alpha>1$) of the Husimi function, we are able to identify qualitatively and quantitatively the unstable periodic orbits that scar some of the eigenstates of the model.","url_abs":"https://arxiv.org/abs/2107.06894v2","url_pdf":"https://arxiv.org/pdf/2107.06894v2.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":"identification-of-quantum-scars-via-phase","repo_url":"https://github.com/saulpila/DickeModel.jl","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"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}