{"id":"https://openalex.org/W4407632880","doi":"https://doi.org/10.1103/physrevb.111.235116","title":"Variationally optimizing infinite projected entangled-pair states at large bond dimensions: A split corner transfer matrix renormalization group approach","display_name":"Variationally optimizing infinite projected entangled-pair states at large bond dimensions: A split corner transfer matrix renormalization group approach","publication_year":2025,"publication_date":"2025-06-06","ids":{"openalex":"https://openalex.org/W4407632880","doi":"https://doi.org/10.1103/physrevb.111.235116"},"language":"en","primary_location":{"id":"doi:10.1103/physrevb.111.235116","doi":"https://doi.org/10.1103/physrevb.111.235116","is_oa":true,"landing_page_url":"https://doi.org/10.1103/physrevb.111.235116","pdf_url":"http://link.aps.org/pdf/10.1103/PhysRevB.111.235116","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":"http://link.aps.org/pdf/10.1103/PhysRevB.111.235116","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083213757","display_name":"Jan Naumann","orcid":"https://orcid.org/0000-0003-4513-5139","observed_orcids":["https://orcid.org/0000-0003-4513-5139"]},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Jan Naumann","raw_affiliation_strings":["Freie Universit\u00e4t Berlin"],"raw_orcid":"https://orcid.org/0000-0003-4513-5139","affiliations":[{"raw_affiliation_string":"Freie Universit\u00e4t Berlin","institution_ids":["https://openalex.org/I75951250"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5092698784","display_name":"Erik Lennart Weerda","orcid":"https://orcid.org/0009-0006-8139-8648","observed_orcids":["https://orcid.org/0009-0006-8139-8648"]},"institutions":[{"id":"https://openalex.org/I180923762","display_name":"University of Cologne","ror":"https://ror.org/00rcxh774","country_code":"DE","type":"education","lineage":["https://openalex.org/I180923762"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Erik L. Weerda","raw_affiliation_strings":["University of Cologne"],"raw_orcid":"https://orcid.org/0009-0006-8139-8648","affiliations":[{"raw_affiliation_string":"University of Cologne","institution_ids":["https://openalex.org/I180923762"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039471780","display_name":"Jens Eisert","orcid":"https://orcid.org/0000-0003-3033-1292","observed_orcids":["https://orcid.org/0000-0003-3033-1292"]},"institutions":[{"id":"https://openalex.org/I2800795503","display_name":"Helmholtz-Zentrum Berlin f\u00fcr Materialien und Energie","ror":"https://ror.org/02aj13c28","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I2800795503"]},{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jens Eisert","raw_affiliation_strings":["Freie Universit\u00e4t Berlin","Helmholtz-Zentrum Berlin f\u00fcr Materialien und Energie"],"raw_orcid":"https://orcid.org/0000-0003-3033-1292","affiliations":[{"raw_affiliation_string":"Freie Universit\u00e4t Berlin","institution_ids":["https://openalex.org/I75951250"]},{"raw_affiliation_string":"Helmholtz-Zentrum Berlin f\u00fcr Materialien und Energie","institution_ids":["https://openalex.org/I2800795503"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017550207","display_name":"Matteo Rizzi","orcid":"https://orcid.org/0000-0002-8283-1005","observed_orcids":["https://orcid.org/0000-0002-8283-1005"]},"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/I180923762","display_name":"University of Cologne","ror":"https://ror.org/00rcxh774","country_code":"DE","type":"education","lineage":["https://openalex.org/I180923762"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Matteo Rizzi","raw_affiliation_strings":["Forschungszentrum J\u00fclich","University of Cologne"],"raw_orcid":"https://orcid.org/0000-0002-8283-1005","affiliations":[{"raw_affiliation_string":"Forschungszentrum J\u00fclich","institution_ids":["https://openalex.org/I171892758"]},{"raw_affiliation_string":"University of Cologne","institution_ids":["https://openalex.org/I180923762"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040462967","display_name":"Philipp Schmoll","orcid":"https://orcid.org/0000-0001-5534-6103","observed_orcids":["https://orcid.org/0000-0001-5534-6103"]},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Philipp Schmoll","raw_affiliation_strings":["Freie Universit\u00e4t Berlin"],"raw_orcid":"https://orcid.org/0000-0001-5534-6103","affiliations":[{"raw_affiliation_string":"Freie Universit\u00e4t Berlin","institution_ids":["https://openalex.org/I75951250"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5083213757","https://openalex.org/A5092698784"],"corresponding_institution_ids":["https://openalex.org/I180923762","https://openalex.org/I75951250"],"apc_list":null,"apc_paid":null,"fwci":2.5435,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.89480736,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"111","issue":"23","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":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":9.999999747378752e-05,"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/T10037","display_name":"Physics of Superconductivity and Magnetism","score":0.0,"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/projected-entangled-pair-states","display_name":"projected entangled pair states","score":0.9959999918937683},{"id":"https://openalex.org/keywords/tensor-network-contraction","display_name":"tensor network contraction","score":0.8529999852180481},{"id":"https://openalex.org/keywords/quantum-many-body-systems","display_name":"quantum many-body systems","score":0.8510000109672546},{"id":"https://openalex.org/keywords/quantum-lattice-models","display_name":"quantum lattice models","score":0.7720000147819519},{"id":"https://openalex.org/keywords/computational-cost-reduction","display_name":"computational complexity reduction","score":0.753000020980835}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4707496762275696},{"id":"https://openalex.org/C69738904","wikidata":"https://www.wikidata.org/wiki/Q11693","display_name":"Bond","level":2,"score":0.4623832106590271},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.42635005712509155},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3975900411605835},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.39285171031951904},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.18089210987091064},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1103/physrevb.111.235116","doi":"https://doi.org/10.1103/physrevb.111.235116","is_oa":true,"landing_page_url":"https://doi.org/10.1103/physrevb.111.235116","pdf_url":"http://link.aps.org/pdf/10.1103/PhysRevB.111.235116","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:2502.10298","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2502.10298","pdf_url":"https://arxiv.org/pdf/2502.10298","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":"pmh:oai:helmholtz.HZB:115431","doi":null,"is_oa":true,"landing_page_url":"https://www.helmholtz-berlin.de/pubbin/oai_publication?VT=1ID=115431","pdf_url":null,"source":{"id":"https://openalex.org/S4306402598","display_name":"HZB Repository (Helmholtz-Zentrum Berlin f\u00fcr Materialien und Energie GmbH (HZB))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I3018134672","host_organization_name":"Helmholtz Munich","host_organization_lineage":["https://openalex.org/I3018134672"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Physical Review B 111 2025 , p. 235116 1 12","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2502.10298","doi":"https://doi.org/10.48550/arxiv.2502.10298","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2502.10298","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/physrevb.111.235116","doi":"https://doi.org/10.1103/physrevb.111.235116","is_oa":true,"landing_page_url":"https://doi.org/10.1103/physrevb.111.235116","pdf_url":"http://link.aps.org/pdf/10.1103/PhysRevB.111.235116","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/G1688234926","display_name":null,"funder_award_id":"CRC-183","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G3022749744","display_name":null,"funder_award_id":"HORIZON-CL4-2022-QUANTUM-02- SGA","funder_id":"https://openalex.org/F4320334322","funder_display_name":"HORIZON EUROPE Framework Programme"},{"id":"https://openalex.org/G3976037732","display_name":null,"funder_award_id":"CL4-2022-QUANTUM-02-SGA","funder_id":"https://openalex.org/F4320334322","funder_display_name":"HORIZON EUROPE Framework Programme"},{"id":"https://openalex.org/G7267094152","display_name":"TRR 183: Verschr\u00e4nkte Materiezust\u00e4nde","funder_award_id":"277101999","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G8959349008","display_name":null,"funder_award_id":"101113690","funder_id":"https://openalex.org/F4320334322","funder_display_name":"HORIZON EUROPE Framework Programme"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"},{"id":"https://openalex.org/F4320322572","display_name":"Studienstiftung des Deutschen Volkes","ror":"https://ror.org/05xwwfy96"},{"id":"https://openalex.org/F4320323990","display_name":"Bundesministerium f\u00fcr Bildung und Frauen","ror":"https://ror.org/00y3wq736"},{"id":"https://openalex.org/F4320324521","display_name":"Freie Universit\u00e4t Berlin","ror":null},{"id":"https://openalex.org/F4320331625","display_name":"Gauss Centre for Supercomputing","ror":"https://ror.org/0585fsj26"},{"id":"https://openalex.org/F4320334322","display_name":"HORIZON EUROPE Framework Programme","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4407632880.pdf","grobid_xml":"https://content.openalex.org/works/W4407632880.grobid-xml"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W210903271","https://openalex.org/W896369156","https://openalex.org/W1531177993","https://openalex.org/W1922629554","https://openalex.org/W1930886120","https://openalex.org/W1987034448","https://openalex.org/W1990325184","https://openalex.org/W2015823186","https://openalex.org/W2024689496","https://openalex.org/W2033368244","https://openalex.org/W2037768897","https://openalex.org/W2066014866","https://openalex.org/W2068894496","https://openalex.org/W2088160021","https://openalex.org/W2090558939","https://openalex.org/W2122816100","https://openalex.org/W2146723733","https://openalex.org/W2149287125","https://openalex.org/W2167325579","https://openalex.org/W2293506269","https://openalex.org/W2348656099","https://openalex.org/W2469532638","https://openalex.org/W2581056149","https://openalex.org/W2736806262","https://openalex.org/W2763400602","https://openalex.org/W2770729026","https://openalex.org/W2790440782","https://openalex.org/W2791612954","https://openalex.org/W2890435609","https://openalex.org/W2891747025","https://openalex.org/W2923091270","https://openalex.org/W2945187129","https://openalex.org/W3000186759","https://openalex.org/W3010175936","https://openalex.org/W3034177512","https://openalex.org/W3083140301","https://openalex.org/W3128573279","https://openalex.org/W3132300084","https://openalex.org/W3182757695","https://openalex.org/W3210911584","https://openalex.org/W3210989681","https://openalex.org/W4200400528","https://openalex.org/W4226382276","https://openalex.org/W4281490406","https://openalex.org/W4310385578","https://openalex.org/W4319347077","https://openalex.org/W4321446715","https://openalex.org/W4361000962","https://openalex.org/W4385682884","https://openalex.org/W4389057751","https://openalex.org/W4389189097","https://openalex.org/W4392359439","https://openalex.org/W4400040721","https://openalex.org/W4402408402","https://openalex.org/W4403681507","https://openalex.org/W4406025620","https://openalex.org/W4408150069"],"related_works":["https://openalex.org/W2469532638","https://openalex.org/W2770729026","https://openalex.org/W2348656099","https://openalex.org/W4410302303","https://openalex.org/W4414972677","https://openalex.org/W7167065910","https://openalex.org/W3211133239","https://openalex.org/W7123845588","https://openalex.org/W1483289337","https://openalex.org/W2798245511"],"abstract_inverted_index":{"Projected":[0],"entangled-pair":[1],"states":[2],"(PEPS)":[3],"have":[4],"become":[5],"a":[6],"powerful":[7],"tool":[8],"for":[9,49,114,122],"studying":[10],"quantum":[11,19,108],"many-body":[12],"systems":[13],"in":[14,25,75],"the":[15,37,42,45,61],"condensed":[16],"matter":[17],"and":[18,54,78,95],"materials":[20],"context,":[21],"particularly":[22],"with":[23,41],"advances":[24],"variational":[26,115],"energy":[27,116],"optimization":[28],"methods.":[29],"A":[30],"key":[31],"challenge":[32],"within":[33],"this":[34,82,119],"framework":[35],"is":[36],"computational":[38,101],"cost":[39],"associated":[40],"contraction":[43],"of":[44],"two-dimensional":[46],"lattice,":[47],"crucial":[48],"calculating":[50],"state":[51],"vector":[52],"norms":[53],"expectation":[55],"values.":[56],"The":[57],"conventional":[58],"approach,":[59],"using":[60],"corner":[62],"transfer":[63],"matrix":[64],"renormalization":[65],"group":[66],"(CTMRG),":[67],"involves":[68],"combining":[69],"two":[70],"tensor":[71],"network":[72],"layers,":[73],"resulting":[74],"significant":[76],"time":[77],"memory":[79],"demands.":[80],"In":[81],"work,":[83],"we":[84],"introduce":[85],"an":[86],"alternative":[87],"split-CTMRG":[88],"algorithm,":[89],"which":[90],"maintains":[91],"separate":[92],"PEPS":[93,124],"layers":[94],"leverages":[96],"modified":[97],"environment":[98],"tensors,":[99],"reducing":[100],"complexity":[102],"while":[103],"preserving":[104],"accuracy.":[105],"Benchmarks":[106],"on":[107],"lattice":[109],"models":[110],"demonstrate":[111],"substantial":[112],"speedups":[113],"optimization,":[117],"rendering":[118],"method":[120],"valuable":[121],"large-scale":[123],"simulations.":[125]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":3}],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2025-02-18T00:00:00"}