{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,13]],"date-time":"2026-08-13T17:31:40Z","timestamp":1786642300447,"version":"build-2736575974"},"reference-count":76,"publisher":"American Physical Society (APS)","issue":"7","license":[{"start":{"date-parts":[[2026,8,13]],"date-time":"2026-08-13T00:00:00Z","timestamp":1786579200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["SPP 1929"],"award-info":[{"award-number":["SPP 1929"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100005915","name":"Institute for Theoretical Atomic, Molecular and Optical Physics, Harvard University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100005915","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["NSF PHY-2409110"],"award-info":[{"award-number":["NSF PHY-2409110"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["PHY-2409111"],"award-info":[{"award-number":["PHY-2409111"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. Lett."],"accepted":{"date-parts":[[2026,6,10]]},"abstract":"<jats:p>We present a framework for treating mesoscopic anisotropic and nonadditive impurity\u2013bath interactions, ubiquitous in realistic quantum impurity problems, which are often neglected in conventional approaches relying on additive, spherically symmetric pseudopotentials. To illustrate this general approach, we focus on the specific impurity problem of a Rydberg atom immersed in a Bose-Einstein condensate, where the internal-state degeneracy of the Rydberg impurity gives rise to configuration-dependent nonadditive potentials. With increasing interaction strength, anisotropy-induced partial-wave mixing generates distinct polaron and molaron resonances, allowing for radially and angularly excited bound states to become accessible. This approach captures the anisotropy and nonadditivity characteristic of a Rydberg impurity immersed in a quantum bath, and is broadly applicable to a host of quantum impurity problems beyond the Fr\u00f6hlich paradigm.<\/jats:p>","DOI":"10.1103\/38vj-6fqc","type":"journal-article","created":{"date-parts":[[2026,6,10]],"date-time":"2026-06-10T13:16:03Z","timestamp":1781097363000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Anisotropic and Nonadditive Interactions of a Rydberg Impurity in a Quantum Bath"],"prefix":"10.1103","volume":"137","author":[{"ORCID":"https:\/\/orcid.org\/0009-0004-0498-5238","authenticated-orcid":true,"given":"Aileen A.\u2009T.","family":"Durst","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01bf9rw71","id-type":"ROR","asserted-by":"publisher"}],"name":"Max Planck Institute for the Physics of Complex 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that here we consider only Rydberg levels possessing finite quantum defects, where the only relevant degeneracy is that of the magnetic sublevels. Rydberg states of a hydrogen atom also possess degenerate angular momentum levels, producing further nonadditive and anisotropic interactions.","type":"other"},{"key":"38vj-6fqcCc57R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.122.103001","type":"journal-article"},{"key":"38vj-6fqcCc58R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRev.92.883","type":"journal-article"},{"key":"38vj-6fqcCc59R1","unstructured":"While bath-bath interactions induced by this transformation are known to vanish for spherically symmetric interactions [23], their angular correlations in the presence of an anisotropic interaction are not in general zero. However, the large spatial extent of the Rydberg atom and the correspondingly small rotational constant allow us to neglect angular contributions to the induced interactions to a good approximation.","type":"other"},{"key":"38vj-6fqcCc60R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.85.2458","type":"journal-article"},{"key":"38vj-6fqcCc61R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-018-04135-6","type":"journal-article"},{"key":"38vj-6fqcCc62R1","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6455\/ad7459","type":"journal-article"},{"key":"38vj-6fqcCc63R1","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511524530","type":"book","volume-title":"Rydberg Atoms","author":"T.\u2009F. Gallagher","year":"1994"},{"key":"38vj-6fqcCc64R1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02959829","type":"journal-article"},{"key":"38vj-6fqcCc65R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.93.043606","type":"journal-article"},{"key":"38vj-6fqcCc66R1","doi-asserted-by":"publisher","DOI":"10.1103\/7vdd-8vb4","type":"journal-article"},{"key":"38vj-6fqcCc67R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.6.023239","type":"journal-article"},{"key":"38vj-6fqcCc68R1","unstructured":"See Supplemental Material at http:\/\/link.aps.org\/supplemental\/10.1103\/38vj-6fqc for additional derivations, numerical details, and convergence tests.","type":"other"},{"key":"38vj-6fqcCc69R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.116.053001","type":"journal-article"},{"key":"38vj-6fqcCc70R1","doi-asserted-by":"publisher","DOI":"10.1088\/0953-4075\/49\/11\/114005","type":"journal-article"},{"key":"38vj-6fqcCc71R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevX.10.031046","type":"journal-article"},{"key":"38vj-6fqcCc72R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.105.163201","type":"journal-article"},{"key":"38vj-6fqcCc73R1","doi-asserted-by":"publisher","DOI":"10.1038\/ncomms5546","type":"journal-article"},{"key":"38vj-6fqcCc74R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.123.073003","type":"journal-article"},{"key":"38vj-6fqcCc75R1","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.68.1015","type":"journal-article"},{"key":"38vj-6fqcCc76R1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-5714-9","type":"book","volume-title":"Many-Particle Physics","author":"G.\u2009D. Mahan","year":"2000"},{"key":"38vj-6fqcCc77R1","unstructured":"The absorption spectra of the anisotropic Rydberg polaron at different densities are shown in Supplemental Material [68].","type":"other"}],"container-title":["Physical Review Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.aps.org\/article\/10.1103\/38vj-6fqc","content-type":"unspecified","content-version":"vor","intended-application":"syndication"},{"URL":"http:\/\/harvest.aps.org\/v2\/journals\/articles\/10.1103\/38vj-6fqc\/fulltext","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,13]],"date-time":"2026-08-13T16:46:04Z","timestamp":1786639564000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.aps.org\/doi\/10.1103\/38vj-6fqc"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,8,13]]},"references-count":76,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2026,8]]}},"URL":"https:\/\/doi.org\/10.1103\/38vj-6fqc","relation":{"has-preprint":[{"id-type":"doi","id":"10.48550\/arXiv.2510.01497","asserted-by":"subject"}]},"ISSN":["0031-9007","1079-7114"],"issn-type":[{"value":"0031-9007","type":"print"},{"value":"1079-7114","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,8,13]]},"assertion":[{"value":"2025-11-26","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"Published by the American Physical Society. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright_statement","label":"Copyright statement","group":{"name":"copyright","label":"copyright"}},{"value":"2026","name":"copyright_year","label":"Copyright year","group":{"name":"copyright","label":"copyright"}},{"value":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/","name":"creative_commons_license","label":"Creative Commons license","group":{"name":"licenses","label":"Licenses"}},{"value":"\u00a92026 The authors","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"073401"}}