{"id":"https://openalex.org/W4394780451","doi":"https://doi.org/10.1103/5fx2-rsf8","title":"Matrix Product States and First Quantization","display_name":"Matrix Product States and First Quantization","publication_year":2026,"publication_date":"2026-02-25","ids":{"openalex":"https://openalex.org/W4394780451","doi":"https://doi.org/10.1103/5fx2-rsf8","pmid":"https://pubmed.ncbi.nlm.nih.gov/41931809"},"language":"en","primary_location":{"id":"doi:10.1103/5fx2-rsf8","doi":"https://doi.org/10.1103/5fx2-rsf8","is_oa":false,"landing_page_url":"https://doi.org/10.1103/5fx2-rsf8","pdf_url":null,"source":{"id":"https://openalex.org/S24807848","display_name":"Physical Review Letters","issn_l":"0031-9007","issn":["0031-9007","1079-7114","1092-0145"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","ki-jl-2","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Letters","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2404.07105","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071900782","display_name":"Jheng-Wei Li","orcid":"https://orcid.org/0000-0002-2228-6762","observed_orcids":["https://orcid.org/0000-0002-2228-6762"]},"institutions":[{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jheng-Wei Li","raw_affiliation_strings":["CEA"],"raw_orcid":"https://orcid.org/0000-0002-2228-6762","affiliations":[{"raw_affiliation_string":"CEA","institution_ids":["https://openalex.org/I2738703131"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072528719","display_name":"Xavier Waintal","orcid":"https://orcid.org/0000-0003-3816-8290","observed_orcids":["https://orcid.org/0000-0003-3816-8290"]},"institutions":[{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Xavier Waintal","raw_affiliation_strings":["CEA"],"raw_orcid":"https://orcid.org/0000-0003-3816-8290","affiliations":[{"raw_affiliation_string":"CEA","institution_ids":["https://openalex.org/I2738703131"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I2738703131"],"apc_list":{"value":3750,"currency":"USD","value_usd":3750},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00250531,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"136","issue":"11","first_page":"116503","last_page":"116503"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":1.0,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.0,"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/T10425","display_name":"Cold Atom Physics and Bose-Einstein Condensates","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/matrix-product-states","display_name":"matrix product states","score":0.9909999966621399},{"id":"https://openalex.org/keywords/first-quantization","display_name":"first quantization","score":0.9779999852180481},{"id":"https://openalex.org/keywords/fermionic-entanglement","display_name":"fermionic entanglement","score":0.7860000133514404},{"id":"https://openalex.org/keywords/t-v-model","display_name":"t-V model","score":0.7319999933242798},{"id":"https://openalex.org/keywords/spinless-fermions","display_name":"spinless fermions","score":0.8960000276565552},{"id":"https://openalex.org/keywords/density-density-interactions","display_name":"density-density interactions","score":0.9610000252723694},{"id":"https://openalex.org/keywords/wigner-crystal","display_name":"Wigner crystal","score":0.921999990940094},{"id":"https://openalex.org/keywords/long-range-interactions","display_name":"long-range interactions","score":0.9079999923706055},{"id":"https://openalex.org/keywords/entanglement-entropy","display_name":"entanglement entropy","score":0.8880000114440918},{"id":"https://openalex.org/keywords/time-evolution","display_name":"time evolution","score":0.8050000071525574},{"id":"https://openalex.org/keywords/quantum-many-body-systems","display_name":"quantum many-body systems","score":0.8019999861717224}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.8992704153060913},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.7232993245124817},{"id":"https://openalex.org/C207060392","wikidata":"https://www.wikidata.org/wiki/Q1353947","display_name":"Second quantization","level":4,"score":0.5753042101860046},{"id":"https://openalex.org/C2778351468","wikidata":"https://www.wikidata.org/wiki/Q17149634","display_name":"Matrix product state","level":4,"score":0.5527775883674622},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5019395351409912},{"id":"https://openalex.org/C56911000","wikidata":"https://www.wikidata.org/wiki/Q831774","display_name":"Density matrix","level":3,"score":0.49942588806152344},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.46453362703323364},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.451540470123291},{"id":"https://openalex.org/C52233224","wikidata":"https://www.wikidata.org/wiki/Q44363","display_name":"Fermion","level":2,"score":0.4326328635215759},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4321565330028534},{"id":"https://openalex.org/C32270708","wikidata":"https://www.wikidata.org/wiki/Q7582152","display_name":"Squashed entanglement","level":4,"score":0.422111451625824},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.42196208238601685},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4176666736602783},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.4123838543891907},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3409386873245239},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3146791458129883},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16127866506576538},{"id":"https://openalex.org/C63630878","wikidata":"https://www.wikidata.org/wiki/Q902336","display_name":"Creation and annihilation operators","level":3,"score":0.06769868731498718},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1103/5fx2-rsf8","doi":"https://doi.org/10.1103/5fx2-rsf8","is_oa":false,"landing_page_url":"https://doi.org/10.1103/5fx2-rsf8","pdf_url":null,"source":{"id":"https://openalex.org/S24807848","display_name":"Physical Review Letters","issn_l":"0031-9007","issn":["0031-9007","1079-7114","1092-0145"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","ki-jl-2","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Letters","raw_type":"journal-article"},{"id":"pmid:41931809","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/41931809","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,"listed_in":[],"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":"Physical review letters","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:2404.07105","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2404.07105","pdf_url":"https://arxiv.org/pdf/2404.07105","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2404.07105","doi":"https://doi.org/10.48550/arxiv.2404.07105","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2404.07105","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2404.07105","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2404.07105","pdf_url":"https://arxiv.org/pdf/2404.07105","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2191957979","display_name":"Etude de la pile quantique : Algorithmes, mod\u00e8les de calcul et simulation pour l\u2019informatique quantique","funder_award_id":"ANR-22-PETQ-0007","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":65,"referenced_works":["https://openalex.org/W1580989833","https://openalex.org/W1922629554","https://openalex.org/W1967859589","https://openalex.org/W1981277709","https://openalex.org/W1987995746","https://openalex.org/W1993357300","https://openalex.org/W1998455213","https://openalex.org/W2000101179","https://openalex.org/W2010492822","https://openalex.org/W2019487811","https://openalex.org/W2019692968","https://openalex.org/W2019792384","https://openalex.org/W2027780909","https://openalex.org/W2028187716","https://openalex.org/W2030794487","https://openalex.org/W2036604884","https://openalex.org/W2040532927","https://openalex.org/W2045649013","https://openalex.org/W2050954206","https://openalex.org/W2051456448","https://openalex.org/W2052221129","https://openalex.org/W2056586595","https://openalex.org/W2060671066","https://openalex.org/W2065908384","https://openalex.org/W2066014866","https://openalex.org/W2068118692","https://openalex.org/W2074826304","https://openalex.org/W2084546468","https://openalex.org/W2090304488","https://openalex.org/W2093019864","https://openalex.org/W2094264521","https://openalex.org/W2096391265","https://openalex.org/W2100129648","https://openalex.org/W2102959895","https://openalex.org/W2110769624","https://openalex.org/W2122816100","https://openalex.org/W2135040454","https://openalex.org/W2158997571","https://openalex.org/W2166364272","https://openalex.org/W2171823766","https://openalex.org/W2206155873","https://openalex.org/W2223883879","https://openalex.org/W2342958287","https://openalex.org/W2626680996","https://openalex.org/W2627067948","https://openalex.org/W2896714001","https://openalex.org/W2908764772","https://openalex.org/W2924261559","https://openalex.org/W2949757588","https://openalex.org/W2973177908","https://openalex.org/W3025003171","https://openalex.org/W3139684808","https://openalex.org/W3159518066","https://openalex.org/W3165437982","https://openalex.org/W3209839498","https://openalex.org/W3214881768","https://openalex.org/W4292222267","https://openalex.org/W4322726929","https://openalex.org/W4380882209","https://openalex.org/W4385490295","https://openalex.org/W4391312977","https://openalex.org/W4400448444","https://openalex.org/W4404184983","https://openalex.org/W4404414844","https://openalex.org/W4408649329"],"related_works":["https://openalex.org/W2592235919","https://openalex.org/W7124519345","https://openalex.org/W3081891045","https://openalex.org/W2947224689","https://openalex.org/W2623000815","https://openalex.org/W7047221817","https://openalex.org/W2060572746","https://openalex.org/W1628620348","https://openalex.org/W2114472278","https://openalex.org/W2554548433"],"abstract_inverted_index":{"Common":[0],"wisdom":[1],"says":[2],"that":[3,113,133],"the":[4,13,22,40,60,62,78,83,91,108,114,124,134],"entanglement":[5,34,75,135],"of":[6,74],"fermionic":[7,63],"systems":[8],"can":[9],"be":[10],"low":[11],"in":[12,21,39,82,123,137,144],"second":[14,41,84,146],"quantization":[15,116,139,147],"formalism":[16],"but":[17],"is":[18,65,140],"extremely":[19],"large":[20],"first":[23,115,138],"quantization.":[24,42,85],"Hence":[25],"matrix":[26],"product":[27],"state":[28,103],"(MPS)":[29],"methods":[30],"based":[31],"on":[32,90],"moderate":[33],"have":[35],"been":[36],"overwhelmingly":[37],"formulated":[38],"Here":[43],"we":[44,67,111,131],"introduce":[45],"a":[46,72],"first-quantized":[47],"MPS":[48,70],"approach":[49,117],"to":[50,77,120],"simulate":[51],"quantum":[52],"many-body":[53],"systems.":[54],"We":[55,86],"show":[56],"that,":[57],"by":[58],"reformulating":[59],"way":[61],"antisymmetry":[64],"handled,":[66],"arrive":[68],"at":[69],"with":[71,97],"level":[73],"comparable":[76],"usual":[79],"one":[80],"found":[81],"demonstrate":[87],"our":[88],"scheme":[89],"one-dimensional":[92],"t-V":[93],"model":[94],"(spinless":[95],"fermions":[96],"density-density":[98],"interaction)":[99],"for":[100],"both":[101],"ground":[102,109],"and":[104],"time":[105,129],"evolution.":[106],"For":[107,128],"state,":[110],"find":[112,132],"naturally":[118],"extends":[119],"long-range":[121],"interaction":[122],"Wigner":[125],"crystal":[126],"regime.":[127],"evolution,":[130],"entropy":[136],"significantly":[141],"smaller":[142],"than":[143],"its":[145],"counterpart.":[148]},"counts_by_year":[],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2024-04-13T00:00:00"}
