{"id":"https://openalex.org/W7223405483","doi":"https://doi.org/10.48550/arxiv.2610.30597","title":"Hierarchical Reduction of Invariant Subspaces: From Fragmentation to Many-Body Scars","display_name":"Hierarchical Reduction of Invariant Subspaces: From Fragmentation to Many-Body Scars","publication_year":2026,"publication_date":"2026-10-22","ids":{"openalex":"https://openalex.org/W7223405483","doi":"https://doi.org/10.48550/arxiv.2610.30597"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.30597","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.30597","pdf_url":"https://arxiv.org/pdf/2610.30597","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/2610.30597","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103089249","display_name":"Chihiro Matsui","orcid":"https://orcid.org/0000-0003-3646-2824","observed_orcids":["https://orcid.org/0000-0003-3646-2824","https://orcid.org/0000-0002-2297-2869"]},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Matsui, Chihiro","raw_affiliation_strings":["Department of Mathematical Sciences , The University of Tokyo , 3-8-1 Komaba , Meguro-ku , Tokyo 153-8914 , Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences , The University of Tokyo , 3-8-1 Komaba , Meguro-ku , Tokyo 153-8914 , Japan","institution_ids":["https://openalex.org/I74801974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103089249"],"corresponding_institution_ids":["https://openalex.org/I74801974"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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/T11804","display_name":"Quantum many-body systems","score":0.9990000128746033,"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":0.9990000128746033,"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/T11682","display_name":"Advanced Condensed Matter Physics","score":9.999999747378752e-05,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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/quantum-many-body-scars","display_name":"quantum many-body scars","score":0.871999979019165},{"id":"https://openalex.org/keywords/hilbert-space-fragmentation","display_name":"Hilbert space fragmentation","score":0.9729999899864197},{"id":"https://openalex.org/keywords/invariant-subspaces","display_name":"invariant subspaces","score":0.8640000224113464},{"id":"https://openalex.org/keywords/spin-chains","display_name":"spin chains","score":0.7910000085830688},{"id":"https://openalex.org/keywords/local-deformation","display_name":"local deformation","score":0.6700000166893005},{"id":"https://openalex.org/keywords/neel-state","display_name":"N\u00e9el state","score":0.8619999885559082},{"id":"https://openalex.org/keywords/unitary-transformation","display_name":"unitary transformation","score":0.6919999718666077},{"id":"https://openalex.org/keywords/decomposition-of-representations","display_name":"representation decomposition","score":0.492000013589859}],"concepts":[{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6439999938011169},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.6363000273704529},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.5981000065803528},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5928000211715698},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5130000114440918},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.4016000032424927},{"id":"https://openalex.org/C179371143","wikidata":"https://www.wikidata.org/wiki/Q2495534","display_name":"Unitary transformation","level":3,"score":0.38519999384880066},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.3479999899864197},{"id":"https://openalex.org/C191015642","wikidata":"https://www.wikidata.org/wiki/Q1132459","display_name":"Fragmentation (computing)","level":2,"score":0.3447999954223633},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.3353999853134155},{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.3158999979496002},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.28139999508857727},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.265500009059906},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.259799987077713},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.25609999895095825},{"id":"https://openalex.org/C130614165","wikidata":"https://www.wikidata.org/wiki/Q683906","display_name":"Tripod (photography)","level":2,"score":0.2558000087738037},{"id":"https://openalex.org/C49766605","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear map","level":2,"score":0.25440001487731934},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25189998745918274}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.30597","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.30597","pdf_url":"https://arxiv.org/pdf/2610.30597","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.2610.30597","doi":"https://doi.org/10.48550/arxiv.2610.30597","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.30597","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:2610.30597","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.30597","pdf_url":"https://arxiv.org/pdf/2610.30597","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":[],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223405483.pdf","grobid_xml":"https://content.openalex.org/works/W7223405483.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W7154296506"],"related_works":["https://openalex.org/W4385658251","https://openalex.org/W3127401322","https://openalex.org/W7203717438","https://openalex.org/W4384560186","https://openalex.org/W3195795176","https://openalex.org/W4415225586","https://openalex.org/W3161871470","https://openalex.org/W7150917775","https://openalex.org/W4379797746","https://openalex.org/W4393177826"],"abstract_inverted_index":{"We":[0,100],"investigate":[1],"a":[2,36,57,87,103,111,116,137,151],"hierarchy":[3,132],"of":[4,122,159],"invariant":[5,52,95],"Hilbert-space":[6,9],"structures":[7],"connecting":[8,61],"fragmentation,":[10],"partial":[11],"solvability,":[12],"and":[13,24,54,66,85,110],"quantum":[14],"many-body":[15],"scars.":[16],"For":[17],"spin":[18],"chains":[19],"with":[20],"fragmented":[21],"spin-$1/2$":[22,51],"subspaces":[23],"their":[25],"local":[26,41,76],"deformations,":[27],"we":[28],"show,":[29],"using":[30],"the":[31,62,72,123,130,141,160],"spin-$1$":[32,67],"$XXC$":[33],"chain":[34],"as":[35],"representative":[37],"example,":[38],"how":[39],"successive":[40],"deformations":[42],"reduce":[43],"extensive":[44],"irreducible-string":[45,83],"fragmentation":[46],"through":[47,136],"an":[48,145],"implicitly":[49],"embedded":[50,74,124,142],"space":[53],"ultimately":[55],"to":[56],"single":[58],"scar":[59,69,147],"tower,":[60],"$XXC$,":[63,65],"perturbed":[64],"$XY$":[68],"models.":[70],"Through":[71],"intermediate":[73],"space,":[75],"dynamics":[77],"couples":[78],"states":[79],"from":[80,92],"distinct":[81],"frozen":[82],"sectors":[84],"selects":[86],"new":[88],"decomposition":[89],"into":[90],"representations,":[91],"which":[93],"smaller":[94],"spaces":[96],"can":[97,133],"be":[98,134],"retained.":[99],"also":[101],"establish":[102],"rigidity":[104],"constraint":[105],"on":[106,150],"isolating":[107],"nonsymmetric":[108],"towers":[109],"constructive":[112],"correspondence":[113],"that":[114,129],"transfers":[115],"reduction":[117,131],"between":[118],"locally":[119],"realizable":[120],"representations":[121],"dynamics.":[125],"The":[126],"latter":[127],"demonstrates":[128],"transferred":[135],"unitary":[138,157],"transformation":[139],"within":[140],"subspace,":[143],"yielding":[144],"exact":[146],"tower":[148],"built":[149],"N\u00e9el":[152],"reference":[153],"state":[154],"without":[155],"requiring":[156],"equivalence":[158],"full":[161],"Hamiltonians.":[162]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-24T00:00:00"}
