{"id":"https://openalex.org/W7220390801","doi":"https://doi.org/10.48550/arxiv.2610.03108","title":"Determining the Number of Symmetry Sectors in Composite Quantum Spectra","display_name":"Determining the Number of Symmetry Sectors in Composite Quantum Spectra","publication_year":2026,"publication_date":"2026-10-02","ids":{"openalex":"https://openalex.org/W7220390801","doi":"https://doi.org/10.48550/arxiv.2610.03108"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.03108","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.03108","pdf_url":"https://arxiv.org/pdf/2610.03108","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/2610.03108","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006116583","display_name":"Nisarg Vyas","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I181996519","display_name":"Indian Institute of Science Education and Research Pune","ror":"https://ror.org/028qa3n13","country_code":"IN","type":"education","lineage":["https://openalex.org/I181996519"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Vyas, Nisarg","raw_affiliation_strings":["Department of Physics , Indian Institute of Science Education and Research , Pune 411008 , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Indian Institute of Science Education and Research , Pune 411008 , India","institution_ids":["https://openalex.org/I181996519"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084610460","display_name":"S. Harshini Tekur","orcid":"https://orcid.org/0009-0007-3303-9576","observed_orcids":["https://orcid.org/0009-0007-3303-9576"]},"institutions":[{"id":"https://openalex.org/I53465836","display_name":"Bangalore University","ror":"https://ror.org/050j2vm64","country_code":"IN","type":"education","lineage":["https://openalex.org/I53465836"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Tekur, S. Harshini","raw_affiliation_strings":["MindBrug Research LLP , Bengaluru 560085 , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MindBrug Research LLP , Bengaluru 560085 , India","institution_ids":["https://openalex.org/I53465836"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046448622","display_name":"M. S. Santhanam","orcid":"https://orcid.org/0000-0002-7213-8346","observed_orcids":["https://orcid.org/0000-0002-7213-8346"]},"institutions":[{"id":"https://openalex.org/I181996519","display_name":"Indian Institute of Science Education and Research Pune","ror":"https://ror.org/028qa3n13","country_code":"IN","type":"education","lineage":["https://openalex.org/I181996519"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Santhanam, M. S.","raw_affiliation_strings":["Department of Physics , Indian Institute of Science Education and Research , Pune 411008 , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Indian Institute of Science Education and Research , Pune 411008 , India","institution_ids":["https://openalex.org/I181996519"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9945999979972839,"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"}},"topics":[{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9945999979972839,"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"}},{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.002199999988079071,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.0010999999940395355,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/symmetry-sectors","display_name":"symmetry sectors","score":0.7649999856948853},{"id":"https://openalex.org/keywords/random-matrix-theory","display_name":"random matrix theory","score":0.7960000038146973},{"id":"https://openalex.org/keywords/spectral-fluctuations","display_name":"spectral fluctuations","score":0.8820000290870667},{"id":"https://openalex.org/keywords/wishart-ensemble","display_name":"Wishart ensemble","score":0.7919999957084656},{"id":"https://openalex.org/keywords/ginibre-ensemble","display_name":"Ginibre ensemble","score":0.9959999918937683},{"id":"https://openalex.org/keywords/gaussian-ensembles","display_name":"Gaussian ensembles","score":0.8650000095367432},{"id":"https://openalex.org/keywords/quantum-many-body-systems","display_name":"quantum many-body systems","score":0.8830000162124634},{"id":"https://openalex.org/keywords/discrete-symmetries","display_name":"discrete symmetries","score":0.7549999952316284}],"concepts":[{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.7750999927520752},{"id":"https://openalex.org/C4839761","wikidata":"https://www.wikidata.org/wiki/Q212111","display_name":"Spectral line","level":2,"score":0.661899983882904},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.6152999997138977},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.5949000120162964},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5496000051498413},{"id":"https://openalex.org/C33962027","wikidata":"https://www.wikidata.org/wiki/Q1930697","display_name":"Wishart distribution","level":3,"score":0.5180000066757202},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4936000108718872},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4560000002384186},{"id":"https://openalex.org/C174038435","wikidata":"https://www.wikidata.org/wiki/Q232431","display_name":"Quantum number","level":2,"score":0.45089998841285706},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4453999996185303},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.44440001249313354},{"id":"https://openalex.org/C104779481","wikidata":"https://www.wikidata.org/wiki/Q50707","display_name":"Composite number","level":2,"score":0.4239000082015991},{"id":"https://openalex.org/C22511879","wikidata":"https://www.wikidata.org/wiki/Q7661339","display_name":"Symmetry number","level":5,"score":0.4171999990940094},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38359999656677246},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.35659998655319214},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.3474000096321106},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.32690000534057617},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.31859999895095825},{"id":"https://openalex.org/C44306375","wikidata":"https://www.wikidata.org/wiki/Q902019","display_name":"Symmetry group","level":2,"score":0.2985999882221222},{"id":"https://openalex.org/C2776394503","wikidata":"https://www.wikidata.org/wiki/Q5282063","display_name":"Discrete symmetry","level":3,"score":0.29159998893737793},{"id":"https://openalex.org/C136269434","wikidata":"https://www.wikidata.org/wiki/Q1502341","display_name":"Quantum chaos","level":4,"score":0.27000001072883606},{"id":"https://openalex.org/C37197862","wikidata":"https://www.wikidata.org/wiki/Q2066775","display_name":"Molecular symmetry","level":3,"score":0.26969999074935913},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2563000023365021}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.03108","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.03108","pdf_url":"https://arxiv.org/pdf/2610.03108","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.2610.03108","doi":"https://doi.org/10.48550/arxiv.2610.03108","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.03108","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:2610.03108","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.03108","pdf_url":"https://arxiv.org/pdf/2610.03108","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/F4320306227","display_name":"Arthritis National Research Foundation","ror":"https://ror.org/03abbex33"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220390801.pdf","grobid_xml":"https://content.openalex.org/works/W7220390801.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2888758106","https://openalex.org/W7162519248","https://openalex.org/W3154087608","https://openalex.org/W4392022685","https://openalex.org/W2489421716","https://openalex.org/W4382240913","https://openalex.org/W3081119769","https://openalex.org/W2791254042","https://openalex.org/W1975755200","https://openalex.org/W3192234271"],"abstract_inverted_index":{"The":[0,69],"spectral":[1,134],"fluctuations":[2,135],"in":[3,9,50,112],"complex":[4],"quantum":[5,25,165],"systems":[6],"are":[7,65,87],"modeled":[8],"terms":[10],"of":[11,66,83,101,127,138],"spectra":[12,52,151,161],"from":[13,39,107,152,163],"random":[14,19,141],"matrices.":[15],"Quantitative":[16],"agreement":[17],"with":[18],"matrices":[20],"holds":[21],"only":[22,90],"when":[23,73],"the":[24,62,74,81,84,99,125,128,133],"spectrum":[26,35,110],"is":[27,72,121,148],"a":[28,33,108],"pure":[29],"sequence,":[30],"and":[31,80,114,155,158],"not":[32],"composite":[34,51,109],"that":[36,47,137],"mixes":[37],"levels":[38],"different":[40],"symmetry":[41,63,75,102,129],"sectors.":[42],"It":[43,147],"was":[44],"shown":[45],"earlier":[46],"discrete":[48],"symmetries":[49,82],"can":[53,104],"be":[54,105],"detected":[55],"using":[56,150],"higher-order":[57],"spacing":[58],"ratio":[59],"statistics":[60],"provided":[61],"sectors":[64,76,103,130],"equal":[67],"dimensions.":[68],"general":[70],"case":[71],"have":[77],"unequal":[78],"dimensions,":[79],"Hamiltonian":[85],"system":[86],"unknown":[88],"or":[89],"partially":[91],"known.":[92],"In":[93],"this":[94],"work,":[95],"we":[96],"address":[97],"how":[98],"number":[100,126],"determined":[106],"arising":[111],"Hermitian":[113],"non-Hermitian":[115],"settings.":[116],"A":[117],"Best":[118],"Subset":[119],"Technique":[120],"proposed":[122],"for":[123,160],"determining":[124],"by":[131],"comparing":[132],"to":[136],"an":[139],"appropriate":[140],"matrix":[142],"ensemble":[143],"without":[144],"requiring":[145],"de-symmetrization.":[146],"demonstrated":[149],"Gaussian,":[153],"Wishart":[154],"Ginibre":[156],"ensembles,":[157],"also":[159],"drawn":[162],"many-body":[164],"systems.":[166]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-10-06T00:00:00"}
