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Demonstrating the absence of energy level repulsion (Poisson statistics), this model carries non-ergodic eigenstates, delocalized over the extensive number of configurations in the Hilbert space. On the above example, we formulate general conditions to a single-particle and random-matrix models in order to carry such states, based on the transparent generalization of the Anderson localization of single-particle states and multiple resonances.<\/jats:p>","DOI":"10.22331\/q-2022-06-09-733","type":"journal-article","created":{"date-parts":[[2022,6,9]],"date-time":"2022-06-09T07:45:17Z","timestamp":1654760717000},"page":"733","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":28,"title":["Non-ergodic delocalized phase with Poisson level statistics"],"prefix":"10.22331","volume":"6","author":[{"given":"Weichen","family":"Tang","sequence":"first","affiliation":[{"name":"Department of Physics, University of California, Berkeley, California 94720, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2160-5984","authenticated-orcid":false,"given":"Ivan M.","family":"Khaymovich","sequence":"additional","affiliation":[{"name":"Max-Planck-Institut f\u00fcr Physik komplexer Systeme, N\u00f6thnitzer Stra\u00dfe 38, 01187-Dresden, Germany"},{"name":"Institute for Physics of Microstructures, Russian Academy of Sciences, 603950 Nizhny Novgorod, GSP-105, Russia"},{"name":"Nordita, Stockholm University and KTH Royal Institute of Technology Hannes Alfv\u00e9ns v\u00e4g 12, SE-106 91 Stockholm, Sweden"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"9598","published-online":{"date-parts":[[2022,6,9]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"D. 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