{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,30]],"date-time":"2026-07-30T15:21:56Z","timestamp":1785424916842,"version":"3.56.0"},"reference-count":92,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2026,6,2]],"date-time":"2026-06-02T00:00:00Z","timestamp":1780358400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100000183","name":"Army Research Office","doi-asserted-by":"publisher","award":["W911NF-26-1-A043"],"award-info":[{"award-number":["W911NF-26-1-A043"]}],"id":[{"id":"10.13039\/100000183","id-type":"DOI","asserted-by":"publisher"}]},{"award":["W911NF-26-1-A043"],"award-info":[{"award-number":["W911NF-26-1-A043"]}],"id":[{"id":"https:\/\/ror.org\/05epdh915","id-type":"ROR","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"crossref","award":["390715994"],"award-info":[{"award-number":["390715994"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"crossref"}]},{"award":["390715994"],"award-info":[{"award-number":["390715994"]}],"id":[{"id":"https:\/\/ror.org\/018mejw64","id-type":"ROR","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>We explore the ground-state properties of a single impurity immersed in a one-dimensional quantum droplet medium formed by a two-component Bose mixture. Relying on ab initio simulations, we demonstrate that tuning the impurity\u2013droplet interactions allows to controllably reshape the droplets\u2019 density profiles and associated correlation patterns. For attractive impurity-medium couplings, the impurity becomes localized within the droplet, which exhibits a density hump at the vicinity of the impurity, while repulsive interactions facilitate phase separation. Comparing our many-body results with the appropriate extended Gross\u2013Pitaevskii description, we find adequate agreement for the droplet density profiles, with the effective field approach systematically overestimating impurity localization. Following a release of the external trap, we unveil that the sign and magnitude of the interactions between the impurity and the droplet hosts dictate the response of the three-component setting, which experiences expansion unless strongly attractive intercomponent couplings are present. These results corroborate the role and presence of correlations in impurity\u2013droplet mixtures and inspire future investigations on impurity physics for probing droplet configurations.<\/jats:p>","DOI":"10.3390\/e28060626","type":"journal-article","created":{"date-parts":[[2026,6,3]],"date-time":"2026-06-03T06:17:31Z","timestamp":1780467451000},"page":"626","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Phases and Dynamics of an Impurity Immersed in One-Dimensional Quantum Droplets"],"prefix":"10.3390","volume":"28","author":[{"ORCID":"https:\/\/orcid.org\/0009-0004-4961-3884","authenticated-orcid":false,"given":"Dimitrios","family":"Diplaris","sequence":"first","affiliation":[{"name":"Center for Optical Quantum Technologies, Department of Physics, University of Hamburg, Luruper Chaussee 149, D-22761 Hamburg, Germany"},{"name":"The Hamburg Centre for Ultrafast Imaging, University of Hamburg, Luruper Chaussee 149, D-22761 Hamburg, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4321-8267","authenticated-orcid":false,"given":"Ilias A.","family":"Englezos","sequence":"additional","affiliation":[{"name":"Center for Optical Quantum Technologies, Department of Physics, University of Hamburg, Luruper Chaussee 149, D-22761 Hamburg, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5912-4468","authenticated-orcid":false,"given":"Friethjof","family":"Theel","sequence":"additional","affiliation":[{"name":"Center for Optical Quantum Technologies, Department of Physics, University of Hamburg, Luruper Chaussee 149, D-22761 Hamburg, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2637-0937","authenticated-orcid":false,"given":"Peter","family":"Schmelcher","sequence":"additional","affiliation":[{"name":"Center for Optical Quantum Technologies, Department of Physics, University of Hamburg, Luruper Chaussee 149, D-22761 Hamburg, Germany"},{"name":"The Hamburg Centre for Ultrafast Imaging, University of Hamburg, Luruper Chaussee 149, D-22761 Hamburg, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5118-5792","authenticated-orcid":false,"given":"Simeon I.","family":"Mistakidis","sequence":"additional","affiliation":[{"name":"Department of Physics and LAMOR, Missouri University of Science and Technology, Rolla, MO 65409, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2026,6,2]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"32201","DOI":"10.1007\/s11467-020-1020-2","article-title":"A new form of liquid matter: Quantum droplets","volume":"16","author":"Luo","year":"2021","journal-title":"Front. 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