{"id":"https://openalex.org/W7213866713","doi":"https://doi.org/10.48550/arxiv.2609.21631","title":"Reformulating Pfaffian Quantum Monte Carlo with the Hybrid Monte Carlo formalism","display_name":"Reformulating Pfaffian Quantum Monte Carlo with the Hybrid Monte Carlo formalism","publication_year":2026,"publication_date":"2026-09-18","ids":{"openalex":"https://openalex.org/W7213866713","doi":"https://doi.org/10.48550/arxiv.2609.21631"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.21631","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.21631","pdf_url":"https://arxiv.org/pdf/2609.21631","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.21631","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5152382896","display_name":"Thomas Hauschild","orcid":null,"observed_orcids":[]},"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"]},{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["DE","US"],"is_corresponding":false,"raw_author_name":"Hauschild, Thomas","raw_affiliation_strings":["University of Maryland , College Park , USA","\ud835\udc4e Institute for Advanced Simulation (IAS-4) , Forschungszentrum J\u00fclich , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Maryland , College Park , USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"\ud835\udc4e Institute for Advanced Simulation (IAS-4) , Forschungszentrum J\u00fclich , Germany","institution_ids":["https://openalex.org/I171892758"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5152334594","display_name":"Lin Wang","orcid":null,"observed_orcids":[]},"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":"Wang, Lin","raw_affiliation_strings":["\ud835\udc4e Institute for Advanced Simulation (IAS-4) , Forschungszentrum J\u00fclich , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\ud835\udc4e Institute for Advanced Simulation (IAS-4) , Forschungszentrum J\u00fclich , Germany","institution_ids":["https://openalex.org/I171892758"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5129825981","display_name":"Finn L. Temmen","orcid":null,"observed_orcids":[]},"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":"Temmen, Finn L.","raw_affiliation_strings":["\ud835\udc4e Institute for Advanced Simulation (IAS-4) , Forschungszentrum J\u00fclich , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\ud835\udc4e Institute for Advanced Simulation (IAS-4) , Forschungszentrum J\u00fclich , Germany","institution_ids":["https://openalex.org/I171892758"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5152338007","display_name":"Thomas Luu","orcid":null,"observed_orcids":[]},"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":"Luu, Thomas","raw_affiliation_strings":["Helmholtz-Institut f\u00fcr Strahlen-und Kernphysik and Bethe Center for Theoretical Physics , Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Helmholtz-Institut f\u00fcr Strahlen-und Kernphysik and Bethe Center for Theoretical Physics , Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn , Germany","institution_ids":["https://openalex.org/I135140700"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"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/T11804","display_name":"Quantum many-body systems","score":0.8144999742507935,"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":0.8144999742507935,"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":0.0681999996304512,"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":0.040800001472234726,"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":0.8059999942779541},{"id":"https://openalex.org/keywords/auxiliary-field-method","display_name":"auxiliary field method","score":0.781000018119812},{"id":"https://openalex.org/keywords/determinant-quantum-monte-carlo","display_name":"determinant quantum Monte Carlo","score":0.6690000295639038},{"id":"https://openalex.org/keywords/kitaev-chain","display_name":"Kitaev chain","score":0.9599999785423279},{"id":"https://openalex.org/keywords/even-odd-decomposition","display_name":"even-odd decomposition","score":0.9010000228881836},{"id":"https://openalex.org/keywords/topological-phase-transition","display_name":"topological phase transition","score":0.6899999976158142}],"concepts":[{"id":"https://openalex.org/C2775956649","wikidata":"https://www.wikidata.org/wiki/Q1189744","display_name":"Pfaffian","level":2,"score":0.9135000109672546},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.6632000207901001},{"id":"https://openalex.org/C16016025","wikidata":"https://www.wikidata.org/wiki/Q3861408","display_name":"Quantum Monte Carlo","level":3,"score":0.6478999853134155},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6370999813079834},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5827999711036682},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5257999897003174},{"id":"https://openalex.org/C37669827","wikidata":"https://www.wikidata.org/wiki/Q6904703","display_name":"Monte Carlo molecular modeling","level":4,"score":0.5188999772071838},{"id":"https://openalex.org/C13153151","wikidata":"https://www.wikidata.org/wiki/Q1639846","display_name":"Hybrid Monte Carlo","level":4,"score":0.4790000021457672},{"id":"https://openalex.org/C2778761060","wikidata":"https://www.wikidata.org/wiki/Q6714234","display_name":"MAJORANA","level":3,"score":0.4580000042915344},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4115000069141388},{"id":"https://openalex.org/C204493344","wikidata":"https://www.wikidata.org/wiki/Q6904698","display_name":"Monte Carlo method in statistical physics","level":5,"score":0.40070000290870667},{"id":"https://openalex.org/C132725507","wikidata":"https://www.wikidata.org/wiki/Q39879","display_name":"Monte Carlo integration","level":5,"score":0.3449000120162964},{"id":"https://openalex.org/C14103023","wikidata":"https://www.wikidata.org/wiki/Q11681459","display_name":"Pairing","level":3,"score":0.33309999108314514},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.3212999999523163},{"id":"https://openalex.org/C122592724","wikidata":"https://www.wikidata.org/wiki/Q3855635","display_name":"Dynamic Monte Carlo method","level":3,"score":0.3158999979496002},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.31290000677108765},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3034000098705292},{"id":"https://openalex.org/C47833936","wikidata":"https://www.wikidata.org/wiki/Q3660888","display_name":"Diffusion Monte Carlo","level":5,"score":0.302700012922287},{"id":"https://openalex.org/C90408235","wikidata":"https://www.wikidata.org/wiki/Q938141","display_name":"Quantum annealing","level":4,"score":0.2897999882698059},{"id":"https://openalex.org/C197129107","wikidata":"https://www.wikidata.org/wiki/Q1921621","display_name":"Merge (version control)","level":2,"score":0.2822999954223633},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.2799000144004822},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.2793999910354614},{"id":"https://openalex.org/C63320529","wikidata":"https://www.wikidata.org/wiki/Q7269435","display_name":"Quasi-Monte Carlo method","level":5,"score":0.27250000834465027},{"id":"https://openalex.org/C15482360","wikidata":"https://www.wikidata.org/wiki/Q15238499","display_name":"Monte Carlo algorithm","level":3,"score":0.2623000144958496}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.21631","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.21631","pdf_url":"https://arxiv.org/pdf/2609.21631","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.21631","doi":"https://doi.org/10.48550/arxiv.2609.21631","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.21631","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":"pmh:oai:arXiv.org:2609.21631","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.21631","pdf_url":"https://arxiv.org/pdf/2609.21631","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"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/G7581871610","display_name":null,"funder_award_id":"EXC 3107","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"}],"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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7213866713.pdf","grobid_xml":"https://content.openalex.org/works/W7213866713.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W2168606130","https://openalex.org/W2265919319","https://openalex.org/W2533829791","https://openalex.org/W4403006800","https://openalex.org/W4411605963","https://openalex.org/W4416620449","https://openalex.org/W7148509778"],"related_works":["https://openalex.org/W4403006800","https://openalex.org/W7171410017","https://openalex.org/W1998850319","https://openalex.org/W2749719867","https://openalex.org/W3105380325","https://openalex.org/W4406271719","https://openalex.org/W7221796281","https://openalex.org/W2952562132","https://openalex.org/W4417308513","https://openalex.org/W7161760656"],"abstract_inverted_index":{"Pfaffian":[0,77,189],"quantum":[1,54],"Monte":[2,40,55],"Carlo":[3,41,56],"extends":[4],"auxiliary":[5],"field":[6],"methods":[7],"to":[8,14,44,51,86,139],"anomalous":[9],"fermionic":[10],"Hamiltonians,":[11],"opening":[12],"access":[13],"pairing":[15],"systems":[16],"and":[17,84,115,148,158],"Hubbard--Stratonovich":[18],"decompositions":[19],"that":[20,28,65],"are":[21,126],"unavailable":[22],"in":[23],"determinant":[24,53,82],"formulations.":[25],"We":[26,103],"show":[27],"this":[29],"flexibility":[30],"can":[31],"be":[32],"combined":[33],"with":[34,155,167],"the":[35,66,73,76,105,108,113,172,176],"global":[36],"updates":[37],"of":[38,75,145,175],"Hybrid":[39],"(HMC),":[42],"leading":[43],"an":[45,129,136,184],"algorithm":[46],"scaling":[47],"as":[48,183],"$\\mathcal{O}(N_\u03c4L^3)$,":[49],"similar":[50],"its":[52],"(DQMC)":[57],"counterpart":[58],"without":[59],"pseudofermions.":[60],"The":[61,120],"central":[62],"observation":[63],"is":[64],"molecular":[67],"dynamics":[68],"force":[69,89,151],"depends":[70],"only":[71],"on":[72],"magnitude":[74],"weight,":[78],"which":[79],"admits":[80],"a":[81,87,140],"representation":[83],"leads":[85],"simplified":[88],"expression.":[90],"This":[91],"construction":[92],"also":[93],"yields":[94],"unequal-time":[95],"Majorana":[96,117],"correlators":[97],"at":[98,163],"essentially":[99],"no":[100],"additional":[101],"cost.":[102],"demonstrate":[104],"method":[106],"for":[107,188],"interacting":[109],"Kitaev":[110],"chain":[111],"using":[112],"imaginary":[114],"symmetric":[116],"hopping":[118],"channel.":[119],"resulting":[121],"noncommuting":[122],"auxiliary-field":[123,190],"bond":[124],"operators":[125],"treated":[127],"through":[128],"even-odd":[130],"decomposition.":[131],"Their":[132],"block":[133],"structure":[134],"permits":[135],"analytic":[137],"reduction":[138],"sparse":[141],"effective":[142],"interaction":[143],"matrix":[144],"bandwidth":[146],"two":[147],"allows":[149],"explicit":[150],"expressions.":[152],"Results":[153],"agree":[154],"exact":[156],"diagonalization":[157],"resolve":[159],"low-energy":[160],"modes":[161],"localized":[162],"opposite":[164],"boundaries,":[165],"together":[166],"their":[168],"increasing":[169],"overlap":[170],"near":[171],"topological":[173],"transition":[174],"non-interacting":[177],"system.":[178],"These":[179],"findings":[180],"establish":[181],"HMC":[182],"efficient":[185],"sampling":[186],"framework":[187],"simulations.":[191]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-09-22T00:00:00"}