{"id":"https://openalex.org/W4229019136","doi":"https://doi.org/10.1364/oe.457299","title":"Light transfer transitions beyond higher-order exceptional points in parity-time and anti-parity-time symmetric waveguide arrays","display_name":"Light transfer transitions beyond higher-order exceptional points in parity-time and anti-parity-time symmetric waveguide arrays","publication_year":2022,"publication_date":"2022-05-05","ids":{"openalex":"https://openalex.org/W4229019136","doi":"https://doi.org/10.1364/oe.457299","pmid":"https://pubmed.ncbi.nlm.nih.gov/36221767"},"language":"en","primary_location":{"id":"doi:10.1364/oe.457299","doi":"https://doi.org/10.1364/oe.457299","is_oa":true,"landing_page_url":"https://doi.org/10.1364/oe.457299","pdf_url":null,"source":{"id":"https://openalex.org/S178776955","display_name":"Optics Express","issn_l":"1094-4087","issn":["1094-4087"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","jufo-1","ki-jl-1","medline","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315679","host_organization_name":"Optica Publishing Group","host_organization_lineage":["https://openalex.org/P4310315679"],"host_organization_lineage_names":["Optica Publishing Group"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optics Express","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1364/oe.457299","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063294428","display_name":"Chuan-Xun Du","orcid":"https://orcid.org/0000-0002-4976-4365","observed_orcids":["https://orcid.org/0000-0002-4976-4365"]},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chuanxun Du","raw_affiliation_strings":["Northeast Normal University","School of Physics and Center for Quantum Sciences, Northeast Normal University, Changchun 130024, China"],"raw_orcid":"https://orcid.org/0000-0002-4976-4365","affiliations":[{"raw_affiliation_string":"Northeast Normal University","institution_ids":["https://openalex.org/I184983240"]},{"raw_affiliation_string":"School of Physics and Center for Quantum Sciences, Northeast Normal University, Changchun 130024, China","institution_ids":["https://openalex.org/I184983240"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100367358","display_name":"Gang Wang","orcid":"https://orcid.org/0000-0002-2288-3807","observed_orcids":["https://orcid.org/0000-0002-2288-3807","https://orcid.org/0000-0002-9197-8922"]},"institutions":[{"id":"https://openalex.org/I3923682","display_name":"Soochow University","ror":"https://ror.org/05t8y2r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I3923682"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gang Wang","raw_affiliation_strings":["Soochow University","School of Physical Science and Technology, Soochow University, Suzhou 215006, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Soochow University","institution_ids":["https://openalex.org/I3923682"]},{"raw_affiliation_string":"School of Physical Science and Technology, Soochow University, Suzhou 215006, China","institution_ids":["https://openalex.org/I3923682"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061417866","display_name":"Yan Zhang","orcid":"https://orcid.org/0000-0003-0371-9953","observed_orcids":["https://orcid.org/0000-0003-0371-9953"]},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan Zhang","raw_affiliation_strings":["Northeast Normal University","School of Physics and Center for Quantum Sciences, Northeast Normal University, Changchun 130024, China"],"raw_orcid":"https://orcid.org/0000-0003-0371-9953","affiliations":[{"raw_affiliation_string":"Northeast Normal University","institution_ids":["https://openalex.org/I184983240"]},{"raw_affiliation_string":"School of Physics and Center for Quantum Sciences, Northeast Normal University, Changchun 130024, China","institution_ids":["https://openalex.org/I184983240"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100677628","display_name":"Jin\u2010Hui Wu","orcid":"https://orcid.org/0000-0001-8801-587X","observed_orcids":["https://orcid.org/0000-0001-8801-587X"]},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jin-Hui Wu","raw_affiliation_strings":["Northeast Normal University","School of Physics and Center for Quantum Sciences, Northeast Normal University, Changchun 130024, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Northeast Normal University","institution_ids":["https://openalex.org/I184983240"]},{"raw_affiliation_string":"School of Physics and Center for Quantum Sciences, Northeast Normal University, Changchun 130024, China","institution_ids":["https://openalex.org/I184983240"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100677628"],"corresponding_institution_ids":["https://openalex.org/I184983240"],"apc_list":{"value":2270,"currency":"USD","value_usd":2270},"apc_paid":{"value":2270,"currency":"USD","value_usd":2270},"fwci":0.7791,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.63181806,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"30","issue":"11","first_page":"20088","last_page":"20088"},"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":0.9990000128746033,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","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/T11996","display_name":"Random lasers and scattering media","score":9.999999747378752e-05,"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/T10245","display_name":"Metamaterials and Metasurfaces Applications","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/higher-order-exceptional-points","display_name":"higher-order exceptional points","score":0.8880000114440918},{"id":"https://openalex.org/keywords/pt-symmetry","display_name":"PT symmetry","score":0.9789999723434448},{"id":"https://openalex.org/keywords/anti-parity-time-symmetry","display_name":"anti-parity-time symmetry","score":0.9890000224113464},{"id":"https://openalex.org/keywords/edge-localization","display_name":"edge localization","score":0.4729999899864197},{"id":"https://openalex.org/keywords/su-2-symmetry","display_name":"SU(2) symmetry","score":0.9350000023841858},{"id":"https://openalex.org/keywords/optical-waveguides","display_name":"optical waveguides","score":0.45399999618530273}],"concepts":[{"id":"https://openalex.org/C2777151079","wikidata":"https://www.wikidata.org/wiki/Q141160","display_name":"Parity (physics)","level":2,"score":0.7875133752822876},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6915215253829956},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5805194973945618},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.4807853102684021},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.47791868448257446},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.4714394807815552},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.4696808457374573},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4438885450363159},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.4258635640144348},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.4100455343723297},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3875751197338104},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17647579312324524},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16997116804122925},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1364/oe.457299","doi":"https://doi.org/10.1364/oe.457299","is_oa":true,"landing_page_url":"https://doi.org/10.1364/oe.457299","pdf_url":null,"source":{"id":"https://openalex.org/S178776955","display_name":"Optics Express","issn_l":"1094-4087","issn":["1094-4087"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","jufo-1","ki-jl-1","medline","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315679","host_organization_name":"Optica Publishing Group","host_organization_lineage":["https://openalex.org/P4310315679"],"host_organization_lineage_names":["Optica Publishing Group"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optics Express","raw_type":"journal-article"},{"id":"pmid:36221767","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/36221767","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optics express","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:2205.07566","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2205.07566","pdf_url":"https://arxiv.org/pdf/2205.07566","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:figshare.com:article/21888063","doi":null,"is_oa":true,"landing_page_url":"https://figshare.com/articles/preprint/Light_transfer_transitions_beyond_higher-order_exceptional_points_in_parity-time_and_anti-parity-time_symmetric_waveguide_arrays/21888063","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"doi:10.48550/arxiv.2205.07566","doi":"https://doi.org/10.48550/arxiv.2205.07566","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2205.07566","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":"article-journal"}],"best_oa_location":{"id":"doi:10.1364/oe.457299","doi":"https://doi.org/10.1364/oe.457299","is_oa":true,"landing_page_url":"https://doi.org/10.1364/oe.457299","pdf_url":null,"source":{"id":"https://openalex.org/S178776955","display_name":"Optics Express","issn_l":"1094-4087","issn":["1094-4087"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","jufo-1","ki-jl-1","medline","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315679","host_organization_name":"Optica Publishing Group","host_organization_lineage":["https://openalex.org/P4310315679"],"host_organization_lineage_names":["Optica Publishing Group"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optics Express","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2547497818","display_name":null,"funder_award_id":"2412019FZ045","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G5659225930","display_name":null,"funder_award_id":"11704064","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6447034656","display_name":null,"funder_award_id":"12074061","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8353027606","display_name":null,"funder_award_id":"JJKH20211279KJ","funder_id":"https://openalex.org/F4320326270","funder_display_name":"Education Department of Jilin Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320326270","display_name":"Education Department of Jilin Province","ror":"https://ror.org/05782e512"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4229019136.pdf","grobid_xml":"https://content.openalex.org/works/W4229019136.grobid-xml"},"referenced_works_count":79,"referenced_works":["https://openalex.org/W1531935167","https://openalex.org/W1649271673","https://openalex.org/W1851355881","https://openalex.org/W1997323544","https://openalex.org/W2000359448","https://openalex.org/W2026205980","https://openalex.org/W2047699813","https://openalex.org/W2061653218","https://openalex.org/W2064196794","https://openalex.org/W2067123857","https://openalex.org/W2084903764","https://openalex.org/W2085072709","https://openalex.org/W2089795298","https://openalex.org/W2129780719","https://openalex.org/W2151180239","https://openalex.org/W2240187636","https://openalex.org/W2289238372","https://openalex.org/W2318324263","https://openalex.org/W2395614120","https://openalex.org/W2418291622","https://openalex.org/W2528057508","https://openalex.org/W2570491764","https://openalex.org/W2621465889","https://openalex.org/W2739884744","https://openalex.org/W2744045251","https://openalex.org/W2766598277","https://openalex.org/W2768107904","https://openalex.org/W2770074333","https://openalex.org/W2781491230","https://openalex.org/W2791270389","https://openalex.org/W2793448389","https://openalex.org/W2793471068","https://openalex.org/W2795848596","https://openalex.org/W2799087431","https://openalex.org/W2800808113","https://openalex.org/W2815728245","https://openalex.org/W2891686556","https://openalex.org/W2896457381","https://openalex.org/W2897299307","https://openalex.org/W2898289071","https://openalex.org/W2900507081","https://openalex.org/W2902352530","https://openalex.org/W2908266731","https://openalex.org/W2909141036","https://openalex.org/W2914877349","https://openalex.org/W2930665417","https://openalex.org/W2930890360","https://openalex.org/W2943615014","https://openalex.org/W2943711429","https://openalex.org/W2947405137","https://openalex.org/W2958924501","https://openalex.org/W2960262744","https://openalex.org/W2966705652","https://openalex.org/W2974560428","https://openalex.org/W2996366120","https://openalex.org/W3012029914","https://openalex.org/W3034071862","https://openalex.org/W3048065611","https://openalex.org/W3083840694","https://openalex.org/W3084476197","https://openalex.org/W3085182198","https://openalex.org/W3092087256","https://openalex.org/W3096047263","https://openalex.org/W3097301077","https://openalex.org/W3099614117","https://openalex.org/W3104133164","https://openalex.org/W3116451923","https://openalex.org/W3127338961","https://openalex.org/W3163595907","https://openalex.org/W3167688255","https://openalex.org/W3174317262","https://openalex.org/W3175833095","https://openalex.org/W3177716787","https://openalex.org/W3184314940","https://openalex.org/W3196102661","https://openalex.org/W3209889990","https://openalex.org/W4200125072","https://openalex.org/W4210724143","https://openalex.org/W4251688908"],"related_works":["https://openalex.org/W4392386570","https://openalex.org/W2809093058","https://openalex.org/W4387702989","https://openalex.org/W4415263274","https://openalex.org/W4366572309","https://openalex.org/W2551330225","https://openalex.org/W3136359211","https://openalex.org/W2902111543","https://openalex.org/W2334097811","https://openalex.org/W4398243114"],"abstract_inverted_index":{"We":[0],"propose":[1],"two":[2,42,102],"non-Hermitian":[3],"arrays":[4],"consisting":[5],"of":[6,170],"N":[7],"=":[8],"2l":[9],"+":[10],"1":[11],"waveguides":[12],"and":[13,48,54,85,108,117,137,151,163],"exhibiting":[14],"parity-time":[15],"(":[16],"P":[17,22,37,96],"T":[18,23,38,97],")":[19],"or":[20],"anti-":[21,95],"symmetry":[24,169],"for":[25,158],"investigating":[26],"light":[27,122,148],"transfer":[28,59,123,149],"dynamics":[29,60,124],"based":[30],"on":[31,165],"Nth-order":[32,43,92,103],"exceptional":[33],"points":[34],"(EPs).":[35],"The":[36,94],"-symmetric":[39,98],"array":[40,63,99,127],"supports":[41,100],"EPs":[44,104,162],"separating":[45,105],"an":[46,77,106,138],"unbroken":[47,75,107,135],"a":[49,69,86,109,129],"broken":[50,83,110,144],"phase":[51,136],"with":[52],"real":[53,118],"imaginary":[55,116],"eignvalues,":[56],"respectively.":[57,120],"Light":[58],"in":[61,73,81,125,133,142],"this":[62,126],"exhibits":[64,128],"radically":[65],"different":[66],"behaviors,":[67],"i.e.":[68],"unidirectional":[70],"oscillation":[71,140],"behavior":[72,80,89,132,141],"the":[74,82,134,143,166],"phase,":[76,84,111],"edge-towards":[78],"localization":[79,88,131],"center-towards":[87,130],"just":[90],"at":[91],"EPs.":[93],"also":[101],"which":[112],"refer":[113],"however":[114],"to":[115],"eigenvalues,":[119],"Accordingly,":[121],"origin-centered":[139],"phase.":[145],"These":[146],"nontrivial":[147],"behaviors":[150],"their":[152],"controlled":[153],"transitions":[154],"are":[155],"not":[156],"viable":[157],"otherwise":[159],"split":[160],"lower-order":[161],"depend":[164],"underlying":[167],"SU(2)":[168],"spin-l":[171],"matrices.":[172]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2026-11-13T13:42:25.865203","created_date":"2022-05-08T00:00:00"}