{"id":"https://openalex.org/W3001799182","doi":"https://doi.org/10.3390/e22020135","title":"Interaction and Entanglement of a Pair of Quantum Emitters near a Nanoparticle: Analysis beyond Electric-Dipole Approximation","display_name":"Interaction and Entanglement of a Pair of Quantum Emitters near a Nanoparticle: Analysis beyond Electric-Dipole Approximation","publication_year":2020,"publication_date":"2020-01-23","ids":{"openalex":"https://openalex.org/W3001799182","doi":"https://doi.org/10.3390/e22020135","mag":"3001799182","pmid":"https://pubmed.ncbi.nlm.nih.gov/33285910"},"language":"en","primary_location":{"id":"doi:10.3390/e22020135","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e22020135","pdf_url":"https://www.mdpi.com/1099-4300/22/2/135/pdf?version=1582631102","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/22/2/135/pdf?version=1582631102","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060759834","display_name":"Miriam Kosik","orcid":"https://orcid.org/0000-0002-3660-2199"},"institutions":[{"id":"https://openalex.org/I3019271933","display_name":"Nicolaus Copernicus University","ror":"https://ror.org/0102mm775","country_code":"PL","type":"education","lineage":["https://openalex.org/I3019271933"]},{"id":"https://openalex.org/I4210086947","display_name":"Institute of Physics","ror":"https://ror.org/000sfad56","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210086947","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Miriam Kosik","raw_affiliation_strings":["Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University in Toru\u0144, Grudziadzka 5, 87-100 Torun, Poland"],"raw_orcid":"https://orcid.org/0000-0002-3660-2199","affiliations":[{"raw_affiliation_string":"Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University in Toru\u0144, Grudziadzka 5, 87-100 Torun, Poland","institution_ids":["https://openalex.org/I3019271933","https://openalex.org/I4210086947"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044528120","display_name":"Karolina S\u0142owik","orcid":"https://orcid.org/0000-0003-1314-7004"},"institutions":[{"id":"https://openalex.org/I3019271933","display_name":"Nicolaus Copernicus University","ror":"https://ror.org/0102mm775","country_code":"PL","type":"education","lineage":["https://openalex.org/I3019271933"]},{"id":"https://openalex.org/I4210086947","display_name":"Institute of Physics","ror":"https://ror.org/000sfad56","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210086947","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Karolina S\u0142owik","raw_affiliation_strings":["Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University in Toru\u0144, Grudziadzka 5, 87-100 Torun, Poland"],"raw_orcid":"https://orcid.org/0000-0003-1314-7004","affiliations":[{"raw_affiliation_string":"Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University in Toru\u0144, Grudziadzka 5, 87-100 Torun, Poland","institution_ids":["https://openalex.org/I3019271933","https://openalex.org/I4210086947"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5044528120","https://openalex.org/A5060759834"],"corresponding_institution_ids":["https://openalex.org/I3019271933","https://openalex.org/I4210086947"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":0.0608,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.21030479,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"22","issue":"2","first_page":"135","last_page":"135"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10131","display_name":"Gold and Silver Nanoparticles Synthesis and Applications","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10131","display_name":"Gold and Silver Nanoparticles Synthesis and Applications","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10295","display_name":"Plasmonic and Surface Plasmon Research","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.8420634865760803},{"id":"https://openalex.org/keywords/dipole","display_name":"Dipole","score":0.6111668944358826},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.5577806234359741},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.552625298500061},{"id":"https://openalex.org/keywords/discrete-dipole-approximation","display_name":"Discrete dipole approximation","score":0.49996137619018555},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4920753836631775},{"id":"https://openalex.org/keywords/nanoparticle","display_name":"Nanoparticle","score":0.47355785965919495},{"id":"https://openalex.org/keywords/quantum-electrodynamics","display_name":"Quantum electrodynamics","score":0.3764359652996063},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3590759336948395}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.8420634865760803},{"id":"https://openalex.org/C173523689","wikidata":"https://www.wikidata.org/wiki/Q215589","display_name":"Dipole","level":2,"score":0.6111668944358826},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.5577806234359741},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.552625298500061},{"id":"https://openalex.org/C49874194","wikidata":"https://www.wikidata.org/wiki/Q5282045","display_name":"Discrete dipole approximation","level":3,"score":0.49996137619018555},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4920753836631775},{"id":"https://openalex.org/C155672457","wikidata":"https://www.wikidata.org/wiki/Q61231","display_name":"Nanoparticle","level":2,"score":0.47355785965919495},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.3764359652996063},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3590759336948395}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e22020135","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e22020135","pdf_url":"https://www.mdpi.com/1099-4300/22/2/135/pdf?version=1582631102","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:33285910","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33285910","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:7516544","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7516544","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:e78249cb2f0d4f02a991e549978c0631","is_oa":true,"landing_page_url":"https://doaj.org/article/e78249cb2f0d4f02a991e549978c0631","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 22, Iss 2, p 135 (2020)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/22/2/135/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e22020135","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e22020135","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e22020135","pdf_url":"https://www.mdpi.com/1099-4300/22/2/135/pdf?version=1582631102","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4887912073","display_name":null,"funder_award_id":"2018/31/D/ST3/01487","funder_id":"https://openalex.org/F4320322511","funder_display_name":"Narodowe Centrum Nauki"}],"funders":[{"id":"https://openalex.org/F4320322511","display_name":"Narodowe Centrum Nauki","ror":"https://ror.org/03ha2q922"},{"id":"https://openalex.org/F4320322650","display_name":"Narodowym Centrum Nauki","ror":"https://ror.org/03ha2q922"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3001799182.pdf","grobid_xml":"https://content.openalex.org/works/W3001799182.grobid-xml"},"referenced_works_count":64,"referenced_works":["https://openalex.org/W89660469","https://openalex.org/W1516150777","https://openalex.org/W1603461014","https://openalex.org/W1963740911","https://openalex.org/W1967164909","https://openalex.org/W1967354112","https://openalex.org/W1970460902","https://openalex.org/W1978691316","https://openalex.org/W1982601278","https://openalex.org/W1983718136","https://openalex.org/W1984748036","https://openalex.org/W1985705262","https://openalex.org/W1989531407","https://openalex.org/W2000523108","https://openalex.org/W2002232913","https://openalex.org/W2008119979","https://openalex.org/W2015020838","https://openalex.org/W2015683881","https://openalex.org/W2017154611","https://openalex.org/W2025864484","https://openalex.org/W2032839191","https://openalex.org/W2051547424","https://openalex.org/W2053275931","https://openalex.org/W2058507209","https://openalex.org/W2064051116","https://openalex.org/W2066872140","https://openalex.org/W2073781628","https://openalex.org/W2074778865","https://openalex.org/W2075425640","https://openalex.org/W2082065455","https://openalex.org/W2083926174","https://openalex.org/W2084039187","https://openalex.org/W2100282116","https://openalex.org/W2103345910","https://openalex.org/W2120955328","https://openalex.org/W2139516501","https://openalex.org/W2148371719","https://openalex.org/W2149446380","https://openalex.org/W2172051803","https://openalex.org/W2201188974","https://openalex.org/W2276815389","https://openalex.org/W2291518697","https://openalex.org/W2315835690","https://openalex.org/W2327226097","https://openalex.org/W2327794020","https://openalex.org/W2406497573","https://openalex.org/W2418622137","https://openalex.org/W2472109776","https://openalex.org/W2552835525","https://openalex.org/W2597971488","https://openalex.org/W2600806588","https://openalex.org/W2788750867","https://openalex.org/W2791243415","https://openalex.org/W2793344670","https://openalex.org/W2936196061","https://openalex.org/W2945466154","https://openalex.org/W2962755075","https://openalex.org/W2996313003","https://openalex.org/W3014728619","https://openalex.org/W3021164229","https://openalex.org/W3037558250","https://openalex.org/W3099277428","https://openalex.org/W3100575325","https://openalex.org/W4255084180"],"related_works":["https://openalex.org/W2258058860","https://openalex.org/W2065830994","https://openalex.org/W2092555887","https://openalex.org/W2741523612","https://openalex.org/W1964921276","https://openalex.org/W2102682197","https://openalex.org/W2101135880","https://openalex.org/W2071709897","https://openalex.org/W2387033564","https://openalex.org/W1980255898"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,67],"study":[4],"the":[5,33,42,45,54,60,69,75,81,89,100,124,126,134,138],"collective":[6,31,101,139],"effects":[7,26],"which":[8,38,57],"appear":[9],"as":[10],"a":[11,22,48],"pair":[12],"of":[13,37,44,105,137],"quantum":[14,55],"emitters":[15],"is":[16,51],"positioned":[17],"in":[18,59,74,108],"close":[19],"vicinity":[20],"to":[21,97,110],"plasmonic":[23],"nanoparticle.":[24,46],"These":[25],"include":[27],"multipole-multipole":[28],"interaction":[29,128],"and":[30,35,103,107],"decay,":[32],"strengths":[34],"rates":[36,102],"are":[39],"modified":[40],"by":[41],"presence":[43],"As":[47],"result,":[49],"entanglement":[50],"generated":[52],"between":[53],"emitters,":[56],"survives":[58],"stationary":[61],"state.":[62],"To":[63],"evaluate":[64],"these":[65,94],"effects,":[66],"exploit":[68],"Green's":[70],"tensor-based":[71],"quantization":[72],"scheme":[73],"Markovian":[76],"limit,":[77],"taking":[78],"into":[79,133],"account":[80],"corrections":[82],"from":[83,121],"light-matter":[84],"coupling":[85],"channels":[86,96,129],"higher":[87],"than":[88],"electric":[90],"dipole.":[91],"We":[92],"find":[93],"higher-order":[95,127],"significantly":[98],"influence":[99,112],"degree":[104],"entanglement,":[106],"particular,":[109],"qualitatively":[111],"their":[113],"spatial":[114,135],"profiles.":[115],"Our":[116],"findings":[117],"indicate":[118],"that,":[119],"apart":[120],"quantitatively":[122],"modifying":[123],"results,":[125],"may":[130],"introduce":[131],"asymmetry":[132],"distribution":[136],"response.":[140]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2020-01-30T00:00:00"}
