{"id":"https://openalex.org/W2037329308","doi":"https://doi.org/10.1142/s123016121350008x","title":"Mutual Information and Bose-Einstein Condensation","display_name":"Mutual Information and Bose-Einstein Condensation","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W2037329308","doi":"https://doi.org/10.1142/s123016121350008x","mag":"2037329308"},"language":"en","primary_location":{"id":"doi:10.1142/s123016121350008x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s123016121350008x","pdf_url":null,"source":{"id":"https://openalex.org/S27332288","display_name":"Open Systems & Information Dynamics","issn_l":"1230-1612","issn":["1230-1612","1573-1324","1793-7191"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Systems &amp; Information Dynamics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1207.0303","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070434906","display_name":"Christos N. Gagatsos","orcid":"https://orcid.org/0000-0002-1487-0715"},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"C. N. Gagatsos","raw_affiliation_strings":["Quantum Information and Communication, Ecole Polytechnique de Bruxelles, Universit\u00e9 Libre de Bruxelles, 1050 Brussels, Belgium"],"affiliations":[{"raw_affiliation_string":"Quantum Information and Communication, Ecole Polytechnique de Bruxelles, Universit\u00e9 Libre de Bruxelles, 1050 Brussels, Belgium","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065608868","display_name":"A. I. Karanikas","orcid":"https://orcid.org/0000-0001-7678-0187"},"institutions":[{"id":"https://openalex.org/I4210133773","display_name":"Institute of Nuclear and Particle Physics","ror":"https://ror.org/03znpfq81","country_code":"GR","type":"facility","lineage":["https://openalex.org/I203474044","https://openalex.org/I4210133773"]},{"id":"https://openalex.org/I200777214","display_name":"National and Kapodistrian University of Athens","ror":"https://ror.org/04gnjpq42","country_code":"GR","type":"education","lineage":["https://openalex.org/I200777214"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"A. I. Karanikas","raw_affiliation_strings":["University of Athens, Physics Department, Nuclear &amp; Particle Physics Section, Panepistimiopolis, Ilissia GR\u201315771, Athens, Greece"],"affiliations":[{"raw_affiliation_string":"University of Athens, Physics Department, Nuclear &amp; Particle Physics Section, Panepistimiopolis, Ilissia GR\u201315771, Athens, Greece","institution_ids":["https://openalex.org/I4210133773","https://openalex.org/I200777214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020208040","display_name":"G. Kordas","orcid":"https://orcid.org/0000-0002-5441-1134"},"institutions":[{"id":"https://openalex.org/I4210133773","display_name":"Institute of Nuclear and Particle Physics","ror":"https://ror.org/03znpfq81","country_code":"GR","type":"facility","lineage":["https://openalex.org/I203474044","https://openalex.org/I4210133773"]},{"id":"https://openalex.org/I200777214","display_name":"National and Kapodistrian University of Athens","ror":"https://ror.org/04gnjpq42","country_code":"GR","type":"education","lineage":["https://openalex.org/I200777214"]},{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE","GR"],"is_corresponding":false,"raw_author_name":"G. Kordas","raw_affiliation_strings":["Institut f\u00fcr Theoretische Physik and Center for Quantum Dynamics, Universit\u00e4t Heidelberg, D\u201369120 Heidelberg, Germany","University of Athens, Physics Department, Nuclear &amp; Particle Physics Section, Panepistimiopolis, Ilissia GR\u201315771, Athens, Greece"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Theoretische Physik and Center for Quantum Dynamics, Universit\u00e4t Heidelberg, D\u201369120 Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]},{"raw_affiliation_string":"University of Athens, Physics Department, Nuclear &amp; Particle Physics Section, Panepistimiopolis, Ilissia GR\u201315771, Athens, Greece","institution_ids":["https://openalex.org/I4210133773","https://openalex.org/I200777214"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5070434906"],"corresponding_institution_ids":["https://openalex.org/I132053463"],"apc_list":null,"apc_paid":null,"fwci":0.5117,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.66635067,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"20","issue":"02","first_page":"1350008","last_page":"1350008"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9991000294685364,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.7088935971260071},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5960044860839844},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5578079223632812},{"id":"https://openalex.org/keywords/bose\u2013einstein-condensate","display_name":"Bose\u2013Einstein condensate","score":0.5378578901290894},{"id":"https://openalex.org/keywords/von-neumann-entropy","display_name":"Von Neumann entropy","score":0.5260265469551086},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.49250659346580505},{"id":"https://openalex.org/keywords/quantum-mutual-information","display_name":"Quantum mutual information","score":0.4713045060634613},{"id":"https://openalex.org/keywords/grand-canonical-ensemble","display_name":"Grand canonical ensemble","score":0.42483046650886536},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.39893367886543274},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3704378008842468},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.3323870301246643},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.322487473487854},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.28746867179870605},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.17713874578475952}],"concepts":[{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.7088935971260071},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5960044860839844},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5578079223632812},{"id":"https://openalex.org/C37589322","wikidata":"https://www.wikidata.org/wiki/Q46202","display_name":"Bose\u2013Einstein condensate","level":2,"score":0.5378578901290894},{"id":"https://openalex.org/C101973423","wikidata":"https://www.wikidata.org/wiki/Q6961323","display_name":"Von Neumann entropy","level":4,"score":0.5260265469551086},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.49250659346580505},{"id":"https://openalex.org/C64775481","wikidata":"https://www.wikidata.org/wiki/Q3798613","display_name":"Quantum mutual information","level":5,"score":0.4713045060634613},{"id":"https://openalex.org/C29235156","wikidata":"https://www.wikidata.org/wiki/Q1153553","display_name":"Grand canonical ensemble","level":3,"score":0.42483046650886536},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.39893367886543274},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3704378008842468},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3323870301246643},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.322487473487854},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.28746867179870605},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.17713874578475952},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s123016121350008x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s123016121350008x","pdf_url":null,"source":{"id":"https://openalex.org/S27332288","display_name":"Open Systems & Information Dynamics","issn_l":"1230-1612","issn":["1230-1612","1573-1324","1793-7191"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Systems &amp; Information Dynamics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1207.0303","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1207.0303","pdf_url":"https://arxiv.org/pdf/1207.0303","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:dipot.ulb.ac.be:2013/183132","is_oa":false,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/183132","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Open systems & information dynamics, 20 (2","raw_type":"info:ulb-repo/semantics/openurl/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1207.0303","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1207.0303","pdf_url":"https://arxiv.org/pdf/1207.0303","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W935822998","https://openalex.org/W1623771186","https://openalex.org/W1971213730","https://openalex.org/W1976283742","https://openalex.org/W1991602497","https://openalex.org/W2014461107","https://openalex.org/W2027225126","https://openalex.org/W2036490361","https://openalex.org/W2045437822","https://openalex.org/W2048905100","https://openalex.org/W2053387157","https://openalex.org/W2100274816","https://openalex.org/W2116056895","https://openalex.org/W2117472745","https://openalex.org/W2146478425","https://openalex.org/W2149018858","https://openalex.org/W2159538982","https://openalex.org/W2485016249","https://openalex.org/W2562972486","https://openalex.org/W2993803817","https://openalex.org/W3099990792","https://openalex.org/W3103441702","https://openalex.org/W3124165436"],"related_works":["https://openalex.org/W2157582815","https://openalex.org/W2344848379","https://openalex.org/W3103412666","https://openalex.org/W2019708658","https://openalex.org/W4360890446","https://openalex.org/W2063322866","https://openalex.org/W2140915619","https://openalex.org/W2069578873","https://openalex.org/W39046674","https://openalex.org/W2080391439"],"abstract_inverted_index":{"In":[0,51,90],"this":[1],"work":[2],"we":[3,28,56,76,98,115],"study":[4],"an":[5],"ideal":[6],"bosonic":[7],"quantum":[8],"field":[9],"system":[10],"at":[11,129],"finite":[12,127],"temperature,":[13],"and":[14,18,74,114],"in":[15],"a":[16,19,24,34,126],"canonical":[17,21,96],"grand":[20,95],"ensemble.":[22],"For":[23],"simple":[25],"spatial":[26],"partition":[27],"derive":[29,58],"the":[30,38,46,49,59,66,71,84,88,91,94,100,103,108,111,123,131],"corresponding":[31],"mutual":[32,112],"information,":[33,113],"quantity":[35],"that":[36,63,117],"measures":[37],"total":[39],"amount":[40],"of":[41,43,45,87,93,102,110],"information":[42],"one":[44],"parts":[47],"about":[48],"other.":[50],"order":[52],"to":[53,65,122],"find":[54,116],"it,":[55],"first":[57],"von":[60],"Neumann":[61],"entropy":[62,86],"corresponds":[64],"spatially":[67],"separated":[68],"subsystem":[69],"(i.e.":[70],"geometric":[72],"entropy)":[73],"then":[75],"subtract":[77],"its":[78,118],"extensive":[79],"part":[80],"which":[81],"coincides":[82],"with":[83,120],"thermal":[85],"subsystem.":[89],"framework":[92],"description,":[97],"examine":[99],"influence":[101],"underlying":[104],"Bose-Einstein":[105],"condensation":[106],"on":[107],"behaviour":[109],"derivative":[119],"respect":[121],"temperature":[124],"possesses":[125],"discontinuity":[128],"exactly":[130],"critical":[132],"temperature.":[133]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
