{"id":"https://openalex.org/W3120197374","doi":"https://doi.org/10.1137/20m1311442","title":"Classical and Quantum Controllability of a Rotating Symmetric Molecule","display_name":"Classical and Quantum Controllability of a Rotating Symmetric Molecule","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3120197374","doi":"https://doi.org/10.1137/20m1311442","mag":"3120197374"},"language":"en","primary_location":{"id":"doi:10.1137/20m1311442","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1311442","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1910.01924","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012657462","display_name":"Ugo Boscain","orcid":"https://orcid.org/0000-0001-5450-275X"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ugo Boscain","raw_affiliation_strings":["LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions (Sorbonne-Universit\u00e9, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)","CNRS - Centre National de la Recherche Scientifique (France)","CaGE  - Control And GEometry (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions (Sorbonne-Universit\u00e9, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291"]},{"raw_affiliation_string":"CNRS - Centre National de la Recherche Scientifique (France)","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CaGE  - Control And GEometry (France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090172838","display_name":"Eugenio Pozzoli","orcid":"https://orcid.org/0000-0003-1465-4796"},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Eugenio Pozzoli","raw_affiliation_strings":["CaGE  - Control And GEometry (France)","LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions (Sorbonne-Universit\u00e9, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CaGE  - Control And GEometry (France)","institution_ids":[]},{"raw_affiliation_string":"LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions (Sorbonne-Universit\u00e9, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089923732","display_name":"Mario Sigalotti","orcid":"https://orcid.org/0000-0002-9013-1076"},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mario Sigalotti","raw_affiliation_strings":["CaGE  - Control And GEometry (France)","LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions (Sorbonne-Universit\u00e9, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CaGE  - Control And GEometry (France)","institution_ids":[]},{"raw_affiliation_string":"LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions (Sorbonne-Universit\u00e9, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5439,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.89679282,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"59","issue":"1","first_page":"156","last_page":"184"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11414","display_name":"Quantum optics and atomic interactions","score":0.9970999956130981,"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":0.9970999956130981,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.996999979019165,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9934999942779541,"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/controllability","display_name":"Controllability","score":0.8784103393554688},{"id":"https://openalex.org/keywords/superposition-principle","display_name":"Superposition principle","score":0.6401487588882446},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.5932341814041138},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5892545580863953},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5855907201766968},{"id":"https://openalex.org/keywords/dipole","display_name":"Dipole","score":0.5116220116615295},{"id":"https://openalex.org/keywords/quantum-dynamics","display_name":"Quantum dynamics","score":0.46686434745788574},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.45844411849975586},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4110344648361206},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.4085705578327179},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2633499205112457},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21716269850730896}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.8784103393554688},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.6401487588882446},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.5932341814041138},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5892545580863953},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5855907201766968},{"id":"https://openalex.org/C173523689","wikidata":"https://www.wikidata.org/wiki/Q215589","display_name":"Dipole","level":2,"score":0.5116220116615295},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.46686434745788574},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.45844411849975586},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4110344648361206},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4085705578327179},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2633499205112457},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21716269850730896},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/20m1311442","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1311442","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1910.01924","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.01924","pdf_url":"https://arxiv.org/pdf/1910.01924","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"text"},{"id":"pmh:oai:HAL:hal-02421593v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-02421593","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Control and Optimization, 2021, 59 (1), &#x27E8;10.1137/20M1311442&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1910.01924","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.01924","pdf_url":"https://arxiv.org/pdf/1910.01924","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3482966436","display_name":null,"funder_award_id":"ANR-17-CE40-0007-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3554329394","display_name":null,"funder_award_id":"ANR-15-CE40-0018","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1617450584","https://openalex.org/W1894491172","https://openalex.org/W1975350586","https://openalex.org/W1985601705","https://openalex.org/W2009886090","https://openalex.org/W2016067881","https://openalex.org/W2025365558","https://openalex.org/W2043300475","https://openalex.org/W2100021086","https://openalex.org/W2103024360","https://openalex.org/W2115062070","https://openalex.org/W2124346691","https://openalex.org/W2129842989","https://openalex.org/W2158876405","https://openalex.org/W2290554171","https://openalex.org/W2515593696","https://openalex.org/W2724616280","https://openalex.org/W2732877245","https://openalex.org/W2767922040","https://openalex.org/W2898240415","https://openalex.org/W2928682603","https://openalex.org/W2945188209","https://openalex.org/W2963588687","https://openalex.org/W3099232853","https://openalex.org/W3100923705","https://openalex.org/W3103813575","https://openalex.org/W3104398312","https://openalex.org/W3106450218"],"related_works":["https://openalex.org/W2036697162","https://openalex.org/W2140812588","https://openalex.org/W2411113819","https://openalex.org/W2072887367","https://openalex.org/W2332386680","https://openalex.org/W2561315646","https://openalex.org/W2248621902","https://openalex.org/W2003779889","https://openalex.org/W1602967303","https://openalex.org/W2089630988"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"study":[4],"the":[5,36,41,48,52,55,58,65,71,75,83,87,96,107,112,121,128,139,155],"controllability":[6,37,119,126,137],"problem":[7],"for":[8,12,120,127],"a":[9,68,90,147],"symmetric-top":[10,140],"molecule,":[11],"both":[13],"its":[14,31],"classical":[15,56,104,122],"and":[16,124],"quantum":[17,59,91,129],"rotational":[18],"dynamics.":[19],"The":[20,135],"molecule":[21,53],"is":[22,109,143],"controlled":[23],"through":[24],"three":[25],"orthogonal":[26,84,116],"electric":[27,32],"fields":[28],"interacting":[29],"with":[30],"dipole.":[33],"We":[34],"characterize":[35],"in":[38,82],"terms":[39],"of":[40,51,67,74,98,138,154],"dipole":[42,108],"position:":[43],"when":[44,79],"it":[45,80],"lies":[46,81],"along":[47,111],"symmetry":[49,88,92,113],"axis":[50,114],"neither":[54,110],"nor":[57,115],"dynamics":[60,123,130],"are":[61,131],"controllable":[62],"due":[63,94],"to":[64,86,95,117,133],"presence":[66],"conserved":[69],"quantity,":[70],"third":[72],"component":[73],"total":[76],"angular":[77],"momentum;":[78],"plane":[85],"axis,":[89],"arises":[93],"superposition":[97],"symmetric":[99],"states,":[100],"which":[101],"has":[102],"no":[103],"counterpart.":[105],"If":[106],"it,":[118],"approximate":[125,136],"proved":[132],"hold.":[134],"Schr\u00f6dinger":[141],"equation":[142],"established":[144],"by":[145],"using":[146],"Lie--Galerkin":[148],"method":[149],"based":[150],"on":[151],"blockwise":[152],"approximations":[153],"infinite-dimensional":[156],"systems.":[157]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":7}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2022-07-26T00:00:00"}
