{"id":"https://openalex.org/W7220963301","doi":"https://doi.org/10.48550/arxiv.2610.08343","title":"Perfect Bound States and non-Markovian Dynamics for Imperfect Giant Atoms in a Semi-Infinite Waveguide","display_name":"Perfect Bound States and non-Markovian Dynamics for Imperfect Giant Atoms in a Semi-Infinite Waveguide","publication_year":2026,"publication_date":"2026-10-06","ids":{"openalex":"https://openalex.org/W7220963301","doi":"https://doi.org/10.48550/arxiv.2610.08343"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.08343","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.08343","pdf_url":"https://arxiv.org/pdf/2610.08343","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/2610.08343","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5159942246","display_name":"T. Y. Liu","orcid":null,"observed_orcids":[]},"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":"Liu, T. Y.","raw_affiliation_strings":["Center for Quantum Sciences and School of Physics , Northeast Normal University , Changchun 130024 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Quantum Sciences and School of Physics , Northeast Normal University , Changchun 130024 , China","institution_ids":["https://openalex.org/I184983240"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5157976558","display_name":"X. Z. Li","orcid":null,"observed_orcids":[]},"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":"Li, X. Y.","raw_affiliation_strings":["Center for Quantum Sciences and School of Physics , Northeast Normal University , Changchun 130024 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Quantum Sciences and School of Physics , Northeast Normal University , Changchun 130024 , China","institution_ids":["https://openalex.org/I184983240"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5157984309","display_name":"W. Y. Hu","orcid":null,"observed_orcids":[]},"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":"Hu, W. Y.","raw_affiliation_strings":["Center for Quantum Sciences and School of Physics , Northeast Normal University , Changchun 130024 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Quantum Sciences and School of Physics , Northeast Normal University , Changchun 130024 , China","institution_ids":["https://openalex.org/I184983240"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5157909799","display_name":"T. Z. Luan","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I32399674","display_name":"Shenyang Normal University","ror":"https://ror.org/05cdfgm80","country_code":"CN","type":"education","lineage":["https://openalex.org/I32399674"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Luan, T. Z.","raw_affiliation_strings":["School of Physics Science and Technology , Shenyang Normal University , Shenyang 110034 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics Science and Technology , Shenyang Normal University , Shenyang 110034 , China","institution_ids":["https://openalex.org/I32399674"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5153436752","display_name":"Cheng Shang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210110652","display_name":"RIKEN","ror":"https://ror.org/01sjwvz98","country_code":"JP","type":"facility","lineage":["https://openalex.org/I4210110652"]},{"id":"https://openalex.org/I4387156398","display_name":"RIKEN Center for Quantum Computing","ror":"https://ror.org/02tt21044","country_code":"JP","type":"facility","lineage":["https://openalex.org/I4210110652","https://openalex.org/I4387156398"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shang, Cheng","raw_affiliation_strings":["Analytical Quantum Complexity RIKEN Hakubi Research Team , RIKEN Center for Quantum Computing (RQC) , 2-1 Hirosawa , Wako , Saitama 351-0198 , Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Analytical Quantum Complexity RIKEN Hakubi Research Team , RIKEN Center for Quantum Computing (RQC) , 2-1 Hirosawa , Wako , Saitama 351-0198 , Japan","institution_ids":["https://openalex.org/I4210110652","https://openalex.org/I4387156398"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5159779540","display_name":"H. Z. Shen","orcid":null,"observed_orcids":[]},"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":"Shen, H. Z.","raw_affiliation_strings":["Center for Quantum Sciences and School of Physics , Northeast Normal University , Changchun 130024 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Quantum Sciences and School of Physics , Northeast Normal University , Changchun 130024 , China","institution_ids":["https://openalex.org/I184983240"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"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/T11414","display_name":"Quantum optics and atomic interactions","score":0.8384000062942505,"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/T11414","display_name":"Quantum optics and atomic interactions","score":0.8384000062942505,"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/T12612","display_name":"Strong Light-Matter Interactions","score":0.07970000058412552,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.020800000056624413,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/giant-atoms","display_name":"giant atoms","score":0.7929999828338623},{"id":"https://openalex.org/keywords/semi-infinite-waveguide","display_name":"semi-infinite waveguide","score":0.8259999752044678},{"id":"https://openalex.org/keywords/non-markovian-dynamics","display_name":"non-Markovian dynamics","score":0.9200000166893005},{"id":"https://openalex.org/keywords/structured-reservoir","display_name":"structured reservoir","score":0.7379999756813049},{"id":"https://openalex.org/keywords/dark-states","display_name":"dark states","score":0.6940000057220459},{"id":"https://openalex.org/keywords/spectral-mismatch","display_name":"spectral mismatch","score":0.47999998927116394},{"id":"https://openalex.org/keywords/robustness-to-disorder","display_name":"disorder robustness","score":0.6639999747276306}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.660099983215332},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6211000084877014},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5830000042915344},{"id":"https://openalex.org/C2987423054","wikidata":"https://www.wikidata.org/wiki/Q185553","display_name":"Relative phase","level":3,"score":0.527999997138977},{"id":"https://openalex.org/C2780310539","wikidata":"https://www.wikidata.org/wiki/Q12547192","display_name":"Imperfect","level":2,"score":0.5206999778747559},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.4876999855041504},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.46549999713897705},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.46000000834465027},{"id":"https://openalex.org/C2986219828","wikidata":"https://www.wikidata.org/wiki/Q1193095","display_name":"Coupling strength","level":2,"score":0.4562000036239624},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4007999897003174},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.38119998574256897},{"id":"https://openalex.org/C3019133824","wikidata":"https://www.wikidata.org/wiki/Q756033","display_name":"Phase matching","level":3,"score":0.37619999051094055},{"id":"https://openalex.org/C200687136","wikidata":"https://www.wikidata.org/wiki/Q11233438","display_name":"Waveguide","level":2,"score":0.34290000796318054},{"id":"https://openalex.org/C174084160","wikidata":"https://www.wikidata.org/wiki/Q908049","display_name":"Bound state","level":2,"score":0.3416000008583069},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.3352000117301941},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.3346000015735626},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.33169999718666077},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3197000026702881},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.3018999993801117},{"id":"https://openalex.org/C159317903","wikidata":"https://www.wikidata.org/wiki/Q3198","display_name":"Photon","level":2,"score":0.2937000095844269},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28439998626708984},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.2702000141143799},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2621999979019165},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.26089999079704285},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.25940001010894775}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.08343","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.08343","pdf_url":"https://arxiv.org/pdf/2610.08343","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.2610.08343","doi":"https://doi.org/10.48550/arxiv.2610.08343","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.08343","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:2610.08343","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.08343","pdf_url":"https://arxiv.org/pdf/2610.08343","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":[{"id":"https://openalex.org/G4587501127","display_name":null,"funder_award_id":"BS202516","funder_id":"https://openalex.org/F4320327484","funder_display_name":"Shenyang Normal University"},{"id":"https://openalex.org/G8315128151","display_name":null,"funder_award_id":"12274064","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322174","display_name":"People's Government of Jilin Province","ror":"https://ror.org/02fzqav45"},{"id":"https://openalex.org/F4320327484","display_name":"Shenyang Normal University","ror":"https://ror.org/05cdfgm80"},{"id":"https://openalex.org/F4320335125","display_name":"RIKEN","ror":"https://ror.org/01sjwvz98"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220963301.pdf","grobid_xml":"https://content.openalex.org/works/W7220963301.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W7116957036","https://openalex.org/W7164001021","https://openalex.org/W7214320774"],"related_works":["https://openalex.org/W4391787109","https://openalex.org/W4417088470","https://openalex.org/W2989840226","https://openalex.org/W2972011876","https://openalex.org/W4406998528","https://openalex.org/W7165486545","https://openalex.org/W7113915489","https://openalex.org/W4392016508","https://openalex.org/W4410346627","https://openalex.org/W3021647936"],"abstract_inverted_index":{"Bound":[0],"states":[1],"in":[2,15],"structured":[3],"reservoirs":[4],"require":[5],"exact":[6,38,150],"interference":[7],"conditions":[8],"and":[9,50,62,72,82,88,90,137,147],"are":[10],"therefore":[11,169],"sensitive":[12],"to":[13,32,53],"imperfections":[14],"the":[16,46,54,134],"coupling":[17],"geometry.":[18],"In":[19],"this":[20,67],"paper,":[21],"we":[22],"study":[23],"a":[24,33,112,171],"two-level":[25],"giant":[26],"atom":[27],"coupled":[28],"at":[29,120],"multiple":[30],"points":[31],"mirror-terminated":[34],"semi-infinite":[35],"waveguide.":[36],"The":[37,96],"atom-photon":[39],"bound":[40],"state":[41],"requires":[42],"both":[43],"cancellation":[44],"of":[45,117,133],"outgoing":[47],"radiation":[48],"amplitude":[49,123],"dispersive":[51],"matching":[52,164],"atomic":[55],"detuning.":[56],"Generalized":[57],"delay-equation":[58],"dynamics,":[59],"continued-pole":[60],"spectra,":[61],"real-space":[63],"photon":[64],"fields":[65],"verify":[66],"criterion":[68],"for":[69,128,144,152],"coupling-strength,":[70],"position,":[71],"coupling-phase":[73],"imperfections.":[74],"For":[75],"representative":[76],"realizations,":[77],"retuning":[78,168],"restores":[79],"one-,":[80],"two-,":[81],"three-root":[83,99,142],"responses":[84,92,158],"after":[85,93],"strength":[86,129],"errors":[87],"one-":[89,136],"two-root":[91,138],"position":[94,145],"errors.":[95,155],"specified":[97,135],"position-imperfect":[98],"configuration":[100],"fails":[101],"because":[102],"its":[103],"$2\u03c0$":[104],"root":[105],"is":[106],"no":[107,141,148],"longer":[108],"dark,":[109],"consistent":[110],"with":[111,165],"$58.77\\%$":[113],"spectral":[114],"mismatch.":[115],"Ensembles":[116],"1000":[118],"realizations":[119],"each":[121],"error":[122],"show":[124],"near-unity":[125],"target-state":[126],"recovery":[127,132,143,151],"errors,":[130,146],"unity":[131],"targets":[139],"but":[140],"nontrivial":[149],"independent":[153],"phase":[154],"Optimized":[156],"phase-imperfect":[157],"instead":[159],"retain":[160],"finite":[161],"linewidths.":[162],"Root":[163],"realization-dependent":[166],"control":[167],"constitutes":[170],"compensation":[172],"procedure,":[173],"rather":[174],"than":[175],"generic":[176],"passive":[177],"robustness":[178],"against":[179],"arbitrary":[180],"disorder.":[181]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-09T00:00:00"}
