{"id":"https://openalex.org/W7202410085","doi":"https://doi.org/10.1103/z8tf-fwfn","title":"Hamiltonian Monte Carlo enhanced by exact diagonalization","display_name":"Hamiltonian Monte Carlo enhanced by exact diagonalization","publication_year":2026,"publication_date":"2026-08-13","ids":{"openalex":"https://openalex.org/W7202410085","doi":"https://doi.org/10.1103/z8tf-fwfn"},"language":"en","primary_location":{"id":"doi:10.1103/z8tf-fwfn","doi":"https://doi.org/10.1103/z8tf-fwfn","is_oa":true,"landing_page_url":"https://doi.org/10.1103/z8tf-fwfn","pdf_url":null,"source":{"id":"https://openalex.org/S4210237713","display_name":"Physical review. B./Physical review. B","issn_l":"2469-9950","issn":["2469-9950","2469-9969","2469-9977"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review B","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1103/z8tf-fwfn","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5147120715","display_name":"Anonymous","orcid":"https://orcid.org/0000-0001-9482-5238","observed_orcids":["https://orcid.org/0000-0001-9482-5238","https://orcid.org/0000-0001-9892-2684","https://orcid.org/0000-0002-7910-9273","https://orcid.org/0000-0002-8100-5027","https://orcid.org/0000-0003-0497-6556","https://orcid.org/0000-0003-4653-2865","https://orcid.org/0009-0000-8442-1045","https://orcid.org/0009-0001-6871-2384","https://orcid.org/0009-0002-0622-0613","https://orcid.org/0009-0002-3490-895X","https://orcid.org/0009-0002-9843-0983","https://orcid.org/0009-0003-4552-0472","https://orcid.org/0009-0004-2686-6192","https://orcid.org/0009-0005-0011-7334","https://orcid.org/0009-0005-2049-1163","https://orcid.org/0009-0005-4827-2106","https://orcid.org/0009-0005-6940-2934","https://orcid.org/0009-0005-7003-2969","https://orcid.org/0009-0007-9792-673X","https://orcid.org/0009-0009-4922-9678","https://orcid.org/0009-0009-7051-895X"]},"institutions":[{"id":"https://openalex.org/I171892758","display_name":"Forschungszentrum J\u00fclich","ror":"https://ror.org/02nv7yv05","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I171892758"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Finn L. Temmen","raw_affiliation_strings":["Forschungszentrum J\u00fclich"],"raw_orcid":"https://orcid.org/0009-0001-6871-2384","affiliations":[{"raw_affiliation_string":"Forschungszentrum J\u00fclich","institution_ids":["https://openalex.org/I171892758"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5116866542","display_name":"Martina Gisti","orcid":"https://orcid.org/0009-0008-6896-6967","observed_orcids":["https://orcid.org/0009-0008-6896-6967"]},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martina Gisti","raw_affiliation_strings":["Universit\u00e4t Bonn"],"raw_orcid":"https://orcid.org/0009-0008-6896-6967","affiliations":[{"raw_affiliation_string":"Universit\u00e4t Bonn","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051172657","display_name":"David J. Luitz","orcid":"https://orcid.org/0000-0003-0099-5696","observed_orcids":["https://orcid.org/0000-0003-0099-5696"]},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"David J. Luitz","raw_affiliation_strings":["Universit\u00e4t Bonn"],"raw_orcid":"https://orcid.org/0000-0003-0099-5696","affiliations":[{"raw_affiliation_string":"Universit\u00e4t Bonn","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021152725","display_name":"Thomas Luu","orcid":"https://orcid.org/0000-0002-1119-8978","observed_orcids":["https://orcid.org/0000-0002-1119-8978"]},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]},{"id":"https://openalex.org/I171892758","display_name":"Forschungszentrum J\u00fclich","ror":"https://ror.org/02nv7yv05","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I171892758"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Luu","raw_affiliation_strings":["Forschungszentrum J\u00fclich","Universit\u00e4t Bonn"],"raw_orcid":"https://orcid.org/0000-0002-1119-8978","affiliations":[{"raw_affiliation_string":"Forschungszentrum J\u00fclich","institution_ids":["https://openalex.org/I171892758"]},{"raw_affiliation_string":"Universit\u00e4t Bonn","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001268915","display_name":"Johann Ostmeyer","orcid":"https://orcid.org/0000-0001-7641-8030","observed_orcids":["https://orcid.org/0000-0001-7641-8030"]},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Johann Ostmeyer","raw_affiliation_strings":["Universit\u00e4t Bonn"],"raw_orcid":"https://orcid.org/0000-0001-7641-8030","affiliations":[{"raw_affiliation_string":"Universit\u00e4t Bonn","institution_ids":["https://openalex.org/I135140700"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.56969908,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"114","issue":"18","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.8564000129699707,"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":0.8564000129699707,"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/T10037","display_name":"Physics of Superconductivity and Magnetism","score":0.0828000009059906,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.032099999487400055,"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/hamiltonian-monte-carlo","display_name":"Hamiltonian Monte Carlo","score":0.9610000252723694},{"id":"https://openalex.org/keywords/exact-diagonalization","display_name":"exact diagonalization","score":0.9629999995231628},{"id":"https://openalex.org/keywords/strongly-correlated-fermions","display_name":"strongly correlated fermions","score":0.8220000267028809},{"id":"https://openalex.org/keywords/fermionic-hubbard-model","display_name":"fermionic Hubbard model","score":0.9110000133514404},{"id":"https://openalex.org/keywords/quantum-wires","display_name":"quantum wires","score":0.6909999847412109},{"id":"https://openalex.org/keywords/sign-problem","display_name":"sign problem","score":0.9279999732971191},{"id":"https://openalex.org/keywords/autocorrelation-time","display_name":"autocorrelation time","score":0.9909999966621399},{"id":"https://openalex.org/keywords/computational-scaling","display_name":"computational scaling","score":0.6570000052452087}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.554099977016449},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.46959999203681946},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.41499999165534973},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4023999869823456},{"id":"https://openalex.org/C13153151","wikidata":"https://www.wikidata.org/wiki/Q1639846","display_name":"Hybrid Monte Carlo","level":4,"score":0.3450999855995178},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.3075999915599823},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2948000133037567},{"id":"https://openalex.org/C16016025","wikidata":"https://www.wikidata.org/wiki/Q3861408","display_name":"Quantum Monte Carlo","level":3,"score":0.28529998660087585},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.2535000145435333},{"id":"https://openalex.org/C37669827","wikidata":"https://www.wikidata.org/wiki/Q6904703","display_name":"Monte Carlo molecular modeling","level":4,"score":0.24660000205039978}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1103/z8tf-fwfn","doi":"https://doi.org/10.1103/z8tf-fwfn","is_oa":true,"landing_page_url":"https://doi.org/10.1103/z8tf-fwfn","pdf_url":null,"source":{"id":"https://openalex.org/S4210237713","display_name":"Physical review. B./Physical review. B","issn_l":"2469-9950","issn":["2469-9950","2469-9969","2469-9977"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review B","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2603.17788","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2603.17788","pdf_url":"https://arxiv.org/pdf/2603.17788","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2603.17788","doi":"https://doi.org/10.48550/arxiv.2603.17788","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.17788","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1103/z8tf-fwfn","doi":"https://doi.org/10.1103/z8tf-fwfn","is_oa":true,"landing_page_url":"https://doi.org/10.1103/z8tf-fwfn","pdf_url":null,"source":{"id":"https://openalex.org/S4210237713","display_name":"Physical review. B./Physical review. B","issn_l":"2469-9950","issn":["2469-9950","2469-9969","2469-9977"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review B","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1454008454","display_name":null,"funder_award_id":"CRC 1639","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7967295168","display_name":"EXC 2004: Materie und Licht f\u00fcr Quanteninformation (ML4Q)","funder_award_id":"390534769","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G807113503","display_name":null,"funder_award_id":"CRC 1639 NuMeriQS","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G829312312","display_name":"SFB 1639: NuMeriQS: Numerische Methoden zur Untersuchung von Dynamik und Strukturbildung in Quantensystemen","funder_award_id":"511713970","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G9000363400","display_name":null,"funder_award_id":"39053476","funder_id":"https://openalex.org/F4320321752","funder_display_name":"Forschungszentrum J\u00fclich"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321752","display_name":"Forschungszentrum J\u00fclich","ror":"https://ror.org/02nv7yv05"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W1582405153","https://openalex.org/W1964103971","https://openalex.org/W1964713133","https://openalex.org/W1972810520","https://openalex.org/W1976879565","https://openalex.org/W1980574641","https://openalex.org/W1981464817","https://openalex.org/W1981514681","https://openalex.org/W1987636521","https://openalex.org/W2017474131","https://openalex.org/W2033368244","https://openalex.org/W2057450058","https://openalex.org/W2059448777","https://openalex.org/W2061579329","https://openalex.org/W2062789506","https://openalex.org/W2073737032","https://openalex.org/W2078330415","https://openalex.org/W2086546551","https://openalex.org/W2087838357","https://openalex.org/W2097290653","https://openalex.org/W2118564312","https://openalex.org/W2168539958","https://openalex.org/W2168606130","https://openalex.org/W2348656099","https://openalex.org/W2749719867","https://openalex.org/W2884484624","https://openalex.org/W2903629839","https://openalex.org/W2905967674","https://openalex.org/W2913725972","https://openalex.org/W2949757588","https://openalex.org/W3011388012","https://openalex.org/W3028083477","https://openalex.org/W3032718739","https://openalex.org/W3161734952","https://openalex.org/W3175036897","https://openalex.org/W3210989681","https://openalex.org/W4244155866","https://openalex.org/W4308434553","https://openalex.org/W4320913092","https://openalex.org/W4399567359","https://openalex.org/W4406271719","https://openalex.org/W4406365007","https://openalex.org/W4406497287","https://openalex.org/W4407253215","https://openalex.org/W4407641658","https://openalex.org/W4407920416","https://openalex.org/W4409741322","https://openalex.org/W4409764148","https://openalex.org/W4410019243","https://openalex.org/W4411605963","https://openalex.org/W4417297118","https://openalex.org/W7161760656","https://openalex.org/W7171517604"],"related_works":["https://openalex.org/W2152901097","https://openalex.org/W1627488537","https://openalex.org/W2112913380","https://openalex.org/W2038445615","https://openalex.org/W2749719867","https://openalex.org/W2803956986","https://openalex.org/W2028697700","https://openalex.org/W2071966309","https://openalex.org/W7083810455","https://openalex.org/W7097370133"],"abstract_inverted_index":{"Strongly":[0],"correlated":[1],"fermionic":[2,110],"systems":[3],"are":[4,15,53],"of":[5,103,119,195],"great":[6],"interest":[7],"in":[8,46,80,206],"condensed":[9],"matter":[10],"physics":[11],"and":[12,29,58,69,93,172],"numerical":[13],"methods":[14,34,52,198],"indispensable":[16],"tools":[17],"for":[18],"their":[19],"study.":[20],"However,":[21],"existing":[22],"approaches":[23],"such":[24],"as":[25,108],"exact":[26],"diagonalization":[27],"(ED)":[28],"stochastic":[30],"quantum":[31,105],"Monte":[32,50,95],"Carlo":[33,51,96],"each":[35],"suffer":[36],"from":[37],"fundamental":[38],"limitations:":[39],"ED":[40,92],"is":[41],"hindered":[42],"by":[43,55],"exponential":[44],"scaling":[45],"system":[47],"size,":[48],"while":[49],"plagued":[54],"sign":[56,170],"problems":[57],"long":[59],"autocorrelation":[60,174],"times.":[61],"These":[62],"limitations":[63],"restrict":[64],"the":[65,169],"accessible":[66],"parameter":[67,209],"space":[68],"developing":[70],"algorithms":[71],"that":[72,90],"efficiently":[73],"alleviate":[74],"them":[75],"remains":[76],"a":[77,88,146],"central":[78],"challenge":[79],"computational":[81,150],"physics.":[82],"In":[83],"this":[84],"work,":[85],"we":[86,122],"propose":[87],"algorithm":[89],"combines":[91],"Hamiltonian":[94],"(HMC)":[97],"to":[98,139,155,158,178,202],"simulate":[99],"two-dimensional":[100],"(2D)":[101],"arrays":[102],"coupled":[104],"wires,":[106],"modeled":[107],"interacting":[109],"Hubbard":[111],"chains.":[112],"We":[113],"demonstrate":[114],"how":[115,192],"our":[116],"hybrid":[117],"implementation":[118],"HMC,":[120],"which":[121,152],"dub":[123],"H":[124,142,163],"2":[125,143,164],"MC":[126,144,165],",":[127],"outperforms":[128],"either":[129,183],"method":[130],"alone":[131],"across":[132],"several":[133],"key":[134],"simulation":[135],"facets.":[136],"When":[137],"compared":[138,177],"pure":[140,179],"ED,":[141],"has":[145],"much":[147,159],"more":[148],"favorable":[149],"scaling,":[151],"allows":[153],"us":[154],"push":[156],"simulations":[157,205],"larger":[160],"2D":[161],"arrays.":[162],"also":[166],"greatly":[167],"alleviates":[168],"problem":[171],"reduces":[173],"times":[175],"when":[176],"HMC":[180],"formulations":[181],"utilizing":[182],"real":[184],"or":[185],"imaginary":[186],"auxiliary":[187],"fields.":[188],"Our":[189],"formalism":[190],"demonstrates":[191],"complementary":[193],"strengths":[194],"seemingly":[196],"disparate":[197],"can":[199],"be":[200],"leveraged":[201],"enable":[203],"feasible":[204],"an":[207],"extended":[208],"space.":[210]},"counts_by_year":[],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2026-08-14T00:00:00"}
