{"id":"https://openalex.org/W7204886345","doi":"https://doi.org/10.48550/arxiv.2608.29602","title":"Evolution Generators for Complex Parameters","display_name":"Evolution Generators for Complex Parameters","publication_year":2026,"publication_date":"2026-08-30","ids":{"openalex":"https://openalex.org/W7204886345","doi":"https://doi.org/10.48550/arxiv.2608.29602"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.29602","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29602","pdf_url":"https://arxiv.org/pdf/2608.29602","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","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.29602","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040685421","display_name":"Jen-Yin Yeh","orcid":"https://orcid.org/0000-0002-9717-0828","observed_orcids":["https://orcid.org/0000-0002-9717-0828"]},"institutions":[{"id":"https://openalex.org/I142974352","display_name":"National Sun Yat-sen University","ror":"https://ror.org/00mjawt10","country_code":"TW","type":"education","lineage":["https://openalex.org/I142974352"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Yeh, Jen-Yin","raw_affiliation_strings":["Department of Physics , National Sun Yat-sen University , Kaohsiung 804201 , Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , National Sun Yat-sen University , Kaohsiung 804201 , Taiwan","institution_ids":["https://openalex.org/I142974352"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001693495","display_name":"Chia-Yi Ju","orcid":"https://orcid.org/0000-0001-7038-3375","observed_orcids":["https://orcid.org/0000-0001-7038-3375"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ju, Chia-Yi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9682999849319458,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9682999849319458,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.024299999698996544,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.000699999975040555,"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/complex-parameters","display_name":"complex parameters","score":0.7699999809265137},{"id":"https://openalex.org/keywords/berry-phase","display_name":"Berry phase","score":0.43700000643730164},{"id":"https://openalex.org/keywords/berry-connection","display_name":"Berry connection","score":0.8640000224113464},{"id":"https://openalex.org/keywords/non-hermitian-quantum-mechanics","display_name":"non-Hermitian quantum mechanics","score":0.8809999823570251},{"id":"https://openalex.org/keywords/state-normalization","display_name":"state normalization","score":0.6359999775886536},{"id":"https://openalex.org/keywords/time-evolution-of-quantum-states","display_name":"quantum state evolution","score":0.6660000085830688}],"concepts":[{"id":"https://openalex.org/C171018156","wikidata":"https://www.wikidata.org/wiki/Q7370306","display_name":"Rotation formalisms in three dimensions","level":2,"score":0.7023000121116638},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5740000009536743},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5512999892234802},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5317000150680542},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.486299991607666},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.4616999924182892},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.454800009727478},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.4374000132083893},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4350000023841858},{"id":"https://openalex.org/C106553664","wikidata":"https://www.wikidata.org/wiki/Q1156744","display_name":"Time evolution","level":2,"score":0.43380001187324524},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4009999930858612},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.36399999260902405},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.34310001134872437},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.3052000105381012},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2953999936580658},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.29120001196861267},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.29019999504089355},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.28850001096725464},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.28360000252723694},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.2786000072956085},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.27160000801086426},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.26249998807907104},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.2574999928474426},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.25369998812675476},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.2524999976158142}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.29602","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29602","pdf_url":"https://arxiv.org/pdf/2608.29602","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.2608.29602","doi":"https://doi.org/10.48550/arxiv.2608.29602","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.29602","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.29602","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29602","pdf_url":"https://arxiv.org/pdf/2608.29602","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/F4320331164","display_name":"National Science and Technology Council","ror":"https://ror.org/00wnb9798"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204886345.pdf","grobid_xml":"https://content.openalex.org/works/W7204886345.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2020864733","https://openalex.org/W2940823381","https://openalex.org/W2091899992","https://openalex.org/W4387097376","https://openalex.org/W1990698492","https://openalex.org/W1970000178","https://openalex.org/W2507167504","https://openalex.org/W4241667100","https://openalex.org/W1615613533","https://openalex.org/W4408662746"],"abstract_inverted_index":{"Theoretical":[0],"studies":[1,33],"on":[2,28],"how":[3],"quantum":[4,37,85],"systems":[5],"are":[6,11,81,136],"affected":[7],"by":[8,35,111],"external":[9],"factors":[10],"often":[12],"formulated":[13],"through":[14],"parameter":[15,71,107],"changes":[16],"in":[17],"the":[18,54,57,78,88,91,124,141,147],"system's":[19],"Hamiltonian.":[20],"Beyond":[21],"Berry":[22],"connections":[23],"and":[24,72,87,126,143],"phases,":[25],"which":[26],"focus":[27],"specific":[29],"Hamiltonian":[30],"eigenstates,":[31],"recent":[32],"inspired":[34],"non-Hermitian":[36],"formalisms":[38],"provide":[39],"a":[40,69,105,119],"framework":[41],"for":[42,48,83],"obtaining":[43],"general":[44],"state":[45,100,132],"evolution":[46,58,79,101,114,117],"generators":[47],"real-valued":[49],"parameters.":[50],"This":[51],"study":[52],"extends":[53],"applicability":[55],"of":[56,90,146],"generator":[59,125],"formalism":[60],"to":[61,104,130,139],"complex-valued":[62],"parameters":[63],"via":[64],"Wirtinger":[65],"derivatives.":[66],"By":[67],"treating":[68],"complex":[70,106],"its":[73,112,127],"conjugate":[74,128],"as":[75],"independent":[76],"variables,":[77],"equations":[80],"derived":[82],"both":[84,123],"states":[86],"metric":[89,116],"Hilbert":[92],"space":[93],"bundle.":[94],"The":[95],"analysis":[96],"demonstrates":[97],"that":[98],"while":[99],"with":[102],"respect":[103],"is":[108],"naturally":[109],"governed":[110],"corresponding":[113],"generator,":[115],"requires":[118],"coupled":[120],"contribution":[121],"from":[122],"counterpart":[129],"preserve":[131],"normalization.":[133],"Explicit":[134],"examples":[135],"worked":[137],"out":[138],"illustrate":[140],"implementation":[142],"physical":[144],"consistency":[145],"formalism.":[148]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-09-02T00:00:00"}