{"id":"https://openalex.org/W7214928018","doi":"https://doi.org/10.48550/arxiv.2609.38015","title":"Variational Monte Carlo for the Hubbard model","display_name":"Variational Monte Carlo for the Hubbard model","publication_year":2026,"publication_date":"2026-09-29","ids":{"openalex":"https://openalex.org/W7214928018","doi":"https://doi.org/10.48550/arxiv.2609.38015"},"language":"en","primary_location":{"id":"doi:10.48550/arxiv.2609.38015","doi":"https://doi.org/10.48550/arxiv.2609.38015","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.38015","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2609.38015","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035982979","display_name":"Luca F. Tocchio","orcid":"https://orcid.org/0000-0002-0921-8554","observed_orcids":["https://orcid.org/0000-0002-0921-8554"]},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Tocchio, Luca F.","raw_affiliation_strings":["Politecnico di Torino Corso Duca degli Abruzzi , 24 10129- Turin , Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Politecnico di Torino Corso Duca degli Abruzzi , 24 10129- Turin , Italy","institution_ids":["https://openalex.org/I177477856"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5035982979"],"corresponding_institution_ids":["https://openalex.org/I177477856"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10037","display_name":"Physics of Superconductivity and Magnetism","score":0.9580000042915344,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/T10037","display_name":"Physics of Superconductivity and Magnetism","score":0.9580000042915344,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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":0.033399999141693115,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.00430000014603138,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"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/variational-monte-carlo","display_name":"variational Monte Carlo","score":0.9909999966621399},{"id":"https://openalex.org/keywords/hubbard-model","display_name":"Hubbard model","score":1.0},{"id":"https://openalex.org/keywords/multiorbital-hubbard-model","display_name":"multiorbital Hubbard model","score":0.9800000190734863},{"id":"https://openalex.org/keywords/variational-wavefunctions","display_name":"variational wave functions","score":0.9750000238418579},{"id":"https://openalex.org/keywords/superconductivity","display_name":"superconductivity","score":0.9629999995231628},{"id":"https://openalex.org/keywords/magnetic-states","display_name":"magnetic states","score":0.6320000290870667},{"id":"https://openalex.org/keywords/correlation-functions","display_name":"correlation functions","score":0.8149999976158142},{"id":"https://openalex.org/keywords/charge-order","display_name":"charge ordering","score":0.8529999852180481},{"id":"https://openalex.org/keywords/spin-order","display_name":"spin ordering","score":0.824999988079071},{"id":"https://openalex.org/keywords/strongly-correlated-electron-systems","display_name":"strongly correlated electrons","score":0.8270000219345093}],"concepts":[{"id":"https://openalex.org/C2778652916","wikidata":"https://www.wikidata.org/wiki/Q7915793","display_name":"Variational Monte Carlo","level":4,"score":0.9093999862670898},{"id":"https://openalex.org/C106074065","wikidata":"https://www.wikidata.org/wiki/Q1571298","display_name":"Hubbard model","level":3,"score":0.796500027179718},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.7457000017166138},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6115999817848206},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.58160001039505},{"id":"https://openalex.org/C113603373","wikidata":"https://www.wikidata.org/wiki/Q2362761","display_name":"Wave function","level":2,"score":0.48420000076293945},{"id":"https://openalex.org/C16016025","wikidata":"https://www.wikidata.org/wiki/Q3861408","display_name":"Quantum Monte Carlo","level":3,"score":0.47429999709129333},{"id":"https://openalex.org/C204493344","wikidata":"https://www.wikidata.org/wiki/Q6904698","display_name":"Monte Carlo method in statistical physics","level":5,"score":0.460099995136261},{"id":"https://openalex.org/C37669827","wikidata":"https://www.wikidata.org/wiki/Q6904703","display_name":"Monte Carlo molecular modeling","level":4,"score":0.44029998779296875},{"id":"https://openalex.org/C13153151","wikidata":"https://www.wikidata.org/wiki/Q1639846","display_name":"Hybrid Monte Carlo","level":4,"score":0.4336000084877014},{"id":"https://openalex.org/C9259290","wikidata":"https://www.wikidata.org/wiki/Q745215","display_name":"Variational principle","level":2,"score":0.40380001068115234},{"id":"https://openalex.org/C122592724","wikidata":"https://www.wikidata.org/wiki/Q3855635","display_name":"Dynamic Monte Carlo method","level":3,"score":0.4016999900341034},{"id":"https://openalex.org/C64618476","wikidata":"https://www.wikidata.org/wiki/Q164296","display_name":"Variational method","level":2,"score":0.3727000057697296},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.35519999265670776},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.3544999957084656},{"id":"https://openalex.org/C188082385","wikidata":"https://www.wikidata.org/wiki/Q73792","display_name":"Charge (physics)","level":2,"score":0.35440000891685486},{"id":"https://openalex.org/C97985569","wikidata":"https://www.wikidata.org/wiki/Q216861","display_name":"Calculus of variations","level":2,"score":0.3156999945640564},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.30880001187324524},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.2824999988079071},{"id":"https://openalex.org/C15482360","wikidata":"https://www.wikidata.org/wiki/Q15238499","display_name":"Monte Carlo algorithm","level":3,"score":0.2809999883174896},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.2800000011920929},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.2676999866962433},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2637999951839447},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2517000138759613}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2609.38015","doi":"https://doi.org/10.48550/arxiv.2609.38015","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.38015","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":"doi:10.48550/arxiv.2609.38015","doi":"https://doi.org/10.48550/arxiv.2609.38015","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.38015","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"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2265005189","https://openalex.org/W2014374787","https://openalex.org/W2044964531","https://openalex.org/W2021219796","https://openalex.org/W2061898342","https://openalex.org/W1552642906","https://openalex.org/W2091343914","https://openalex.org/W2774001794","https://openalex.org/W2597635443","https://openalex.org/W2883728616"],"abstract_inverted_index":{"In":[0],"these":[1],"lecture":[2],"notes,":[3],"we":[4,16,33,45,95],"introduce":[5,18,34],"the":[6,12,19,35,47,75,90,115],"variational":[7,40,48,86,108],"Monte":[8,41,71,109],"Carlo":[9,42,72],"method":[10],"for":[11,74,100,113],"Hubbard":[13,21,63],"model.":[14],"First,":[15],"briefly":[17],"single-orbital":[20,60],"model":[22],"and":[23,44,56,61,122],"its":[24],"multi-orbital":[25,62],"extension,":[26],"focusing":[27],"only":[28],"on":[29],"electronic":[30],"models.":[31,64],"Then,":[32],"general":[36],"scheme":[37],"under":[38],"which":[39],"works":[43],"present":[46,96],"wave":[49,77,87],"functions":[50,102],"that":[51,103],"can":[52,104],"properly":[53],"describe":[54,81],"superconductive":[55],"magnetic":[57],"states":[58],"in":[59,107],"We":[65,79],"also":[66,80],"detail":[67],"how":[68,82],"to":[69,83,111],"perform":[70],"calculations":[73],"given":[76],"functions.":[78],"optimize":[84],"a":[85,97],"function":[88],"with":[89],"stochastic":[91],"reconfiguration":[92],"method.":[93],"Finally,":[94],"few":[98],"results":[99],"correlation":[101],"be":[105],"computed":[106],"Carlo,":[110],"determine,":[112],"instance,":[114],"presence":[116],"of":[117],"charge":[118],"or":[119],"spin":[120],"order":[121],"superconductivity.":[123]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-10-01T00:00:00"}