{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,28]],"date-time":"2026-05-28T01:15:05Z","timestamp":1779930905192,"version":"3.53.1"},"reference-count":43,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2023,11,22]],"date-time":"2023-11-22T00:00:00Z","timestamp":1700611200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Center for Nonlinear Studies and the U.S DOE under the LDRD program at Los Alamos","award":["62422"],"award-info":[{"award-number":["62422"]}]},{"DOI":"10.13039\/100000925","name":"John Templeton Foundation","doi-asserted-by":"publisher","award":["62422"],"award-info":[{"award-number":["62422"]}],"id":[{"id":"10.13039\/100000925","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Quantum Darwinism explains the emergence of classical objectivity within a quantum universe. However, to date, most research on quantum Darwinism has focused on specific models and their stationary properties. To further our understanding of the quantum-to-classical transition, it appears desirable to identify the general criteria a Hamiltonian has to fulfill to support classical reality. To this end, we categorize all N-qubit models with two-body interactions, and show that only those with separable interaction of the system and environment can support a pointer basis. We further demonstrate that \u201cperfect\u201d quantum Darwinism can only emerge if there are no intra-environmental interactions. Our analysis is complemented by solving the ensuing dynamics. We find that in systems exhibiting information scrambling, the dynamical emergence of classical objectivity directly competes with the non-local spread of quantum correlations. Our rigorous findings are illustrated through the numerical analysis of four representative models.<\/jats:p>","DOI":"10.3390\/e25121573","type":"journal-article","created":{"date-parts":[[2023,11,22]],"date-time":"2023-11-22T10:41:51Z","timestamp":1700649711000},"page":"1573","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Pointer States and Quantum Darwinism with Two-Body Interactions"],"prefix":"10.3390","volume":"25","author":[{"given":"Paul","family":"Duruisseau","sequence":"first","affiliation":[{"name":"ENS Paris-Saclay, 91190 Gif-sur-Yvette, France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Akram","family":"Touil","sequence":"additional","affiliation":[{"name":"Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA"},{"name":"Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM 87545, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0504-6932","authenticated-orcid":false,"given":"Sebastian","family":"Deffner","sequence":"additional","affiliation":[{"name":"Department of Physics, University of Maryland, Baltimore County, Baltimore, MD 21250, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,11,22]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.physrep.2019.10.001","article-title":"Quantum decoherence","volume":"831","author":"Schlosshauer","year":"2019","journal-title":"Phys. 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