{"id":"https://openalex.org/W3143369287","doi":"https://doi.org/10.1103/physreva.56.694","title":"Single two-level ion in an anharmonic-oscillator trap: Time evolution of the Q function and population inversion","display_name":"Single two-level ion in an anharmonic-oscillator trap: Time evolution of the Q function and population inversion","publication_year":1997,"publication_date":"1997-07-01","ids":{"openalex":"https://openalex.org/W3143369287","doi":"https://doi.org/10.1103/physreva.56.694","mag":"3143369287"},"language":"en","primary_location":{"id":"doi:10.1103/physreva.56.694","doi":"https://doi.org/10.1103/physreva.56.694","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreva.56.694","pdf_url":null,"source":{"id":"https://openalex.org/S164566984","display_name":"Physical Review A","issn_l":"0556-2791","issn":["0556-2791","1050-2947","1094-1622","1538-4446","2469-9926","2469-9934","2469-9942"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-2","poland-100","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review A","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079559898","display_name":"S. Shelly Sharma","orcid":"https://orcid.org/0000-0002-6720-9293","observed_orcids":["https://orcid.org/0000-0002-6720-9293"]},"institutions":[{"id":"https://openalex.org/I127110123","display_name":"Universidade Estadual de Londrina","ror":"https://ror.org/01585b035","country_code":"BR","type":"education","lineage":["https://openalex.org/I127110123"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"S. Shelly Sharma","raw_affiliation_strings":["Departamento de F\u00edsica, Universidade Estadual de Londrina, Londrina, Paran\u00e1 86051-970, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica, Universidade Estadual de Londrina, Londrina, Paran\u00e1 86051-970, Brazil","institution_ids":["https://openalex.org/I127110123"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048871148","display_name":"Naresh Kumar Sharma","orcid":"https://orcid.org/0000-0002-7803-3203","observed_orcids":["https://orcid.org/0000-0002-7803-3203"]},"institutions":[{"id":"https://openalex.org/I127110123","display_name":"Universidade Estadual de Londrina","ror":"https://ror.org/01585b035","country_code":"BR","type":"education","lineage":["https://openalex.org/I127110123"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"N. K. Sharma","raw_affiliation_strings":["Departamento de F\u00edsica, Universidade Estadual de Londrina, Londrina, Paran\u00e1 86051-970, Brazil","Departamento de Matem\u00e1tica, Universidade Estadual de Londrina, Londrina, Paran\u00e1 86051-970, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica, Universidade Estadual de Londrina, Londrina, Paran\u00e1 86051-970, Brazil","institution_ids":["https://openalex.org/I127110123"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidade Estadual de Londrina, Londrina, Paran\u00e1 86051-970, Brazil","institution_ids":["https://openalex.org/I127110123"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043034284","display_name":"L. Zamick","orcid":"https://orcid.org/0000-0001-8391-0875","observed_orcids":["https://orcid.org/0000-0001-8391-0875"]},"institutions":[{"id":"https://openalex.org/I127110123","display_name":"Universidade Estadual de Londrina","ror":"https://ror.org/01585b035","country_code":"BR","type":"education","lineage":["https://openalex.org/I127110123"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Larry Zamick","raw_affiliation_strings":["Departamento de F\u00edsica, Universidade Estadual de Londrina, Londrina, Paran\u00e1 86051-970, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica, Universidade Estadual de Londrina, Londrina, Paran\u00e1 86051-970, Brazil","institution_ids":["https://openalex.org/I127110123"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I127110123"],"apc_list":{"value":2675,"currency":"USD","value_usd":2675},"apc_paid":null,"fwci":0.998,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.75259107,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":94},"biblio":{"volume":"56","issue":"1","first_page":"694","last_page":"699"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11414","display_name":"Quantum optics and atomic interactions","score":0.3537999987602234,"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":0.3537999987602234,"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":0.28610000014305115,"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":0.21969999372959137,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/population-inversion","display_name":"population inversion","score":0.7630000114440918},{"id":"https://openalex.org/keywords/q-function","display_name":"Q-function","score":0.8930000066757202},{"id":"https://openalex.org/keywords/collapse-and-revival","display_name":"collapse and revival","score":0.847000002861023},{"id":"https://openalex.org/keywords/anharmonicity","display_name":"anharmonicity","score":0.7360000014305115},{"id":"https://openalex.org/keywords/center-of-mass-motion","display_name":"center-of-mass motion","score":0.7879999876022339},{"id":"https://openalex.org/keywords/time-evolution","display_name":"time evolution","score":0.5239999890327454}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.861952543258667},{"id":"https://openalex.org/C147724859","wikidata":"https://www.wikidata.org/wiki/Q545228","display_name":"Anharmonicity","level":2,"score":0.7886715531349182},{"id":"https://openalex.org/C185020441","wikidata":"https://www.wikidata.org/wiki/Q126904","display_name":"Population inversion","level":3,"score":0.6359334588050842},{"id":"https://openalex.org/C106289968","wikidata":"https://www.wikidata.org/wiki/Q202012","display_name":"Ion trap","level":3,"score":0.6085549592971802},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.6011322140693665},{"id":"https://openalex.org/C184779094","wikidata":"https://www.wikidata.org/wiki/Q26383","display_name":"Atomic physics","level":1,"score":0.4683959484100342},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.41120946407318115},{"id":"https://openalex.org/C145148216","wikidata":"https://www.wikidata.org/wiki/Q36496","display_name":"Ion","level":2,"score":0.40611031651496887},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.30360841751098633},{"id":"https://openalex.org/C520434653","wikidata":"https://www.wikidata.org/wiki/Q38867","display_name":"Laser","level":2,"score":0.16384613513946533},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1103/physreva.56.694","doi":"https://doi.org/10.1103/physreva.56.694","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreva.56.694","pdf_url":null,"source":{"id":"https://openalex.org/S164566984","display_name":"Physical Review A","issn_l":"0556-2791","issn":["0556-2791","1050-2947","1094-1622","1538-4446","2469-9926","2469-9934","2469-9942"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-2","poland-100","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review A","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1567946919","https://openalex.org/W1963811960","https://openalex.org/W1964107355","https://openalex.org/W1973468645","https://openalex.org/W2001616610","https://openalex.org/W2017039392","https://openalex.org/W2017249488","https://openalex.org/W2028655035","https://openalex.org/W2040136860","https://openalex.org/W2041349417","https://openalex.org/W2053857014","https://openalex.org/W2067184005","https://openalex.org/W2075073364","https://openalex.org/W2080038481","https://openalex.org/W2081200240","https://openalex.org/W2081210383","https://openalex.org/W2085657090","https://openalex.org/W2443058547"],"related_works":["https://openalex.org/W1611655288","https://openalex.org/W2031640454","https://openalex.org/W2087735048","https://openalex.org/W2517811133","https://openalex.org/W2356234907","https://openalex.org/W2075073364","https://openalex.org/W2015678943","https://openalex.org/W2391067952","https://openalex.org/W1966249239","https://openalex.org/W50588519"],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2,6,12,35,42,46,52,68,114,128,131,140,143],"time":[3,69,107],"evolution":[4],"of":[5,34,41,45,56,71,116,122,130],"population":[7,57,72,117],"inversion":[8,58,73],"as":[9,11,94,96],"well":[10],"$Q$":[13],"function":[14,80],"for":[15,18,65,135],"center-of-mass":[16],"motion":[17],"a":[19,86,105],"two-level":[20],"ion,":[21],"interacting":[22],"with":[23,85],"single-mode":[24],"laser":[25],"light":[26],"field,":[27],"in":[28,39,139],"an":[29,82],"anharmonic-oscillator":[30],"trap.":[31,48],"The":[32,78],"anharmonicities":[33],"trap":[36],"are":[37],"quantified":[38],"terms":[40],"deformation":[43],"parameter":[44],"$q$-analog":[47],"For":[49],"$\\ensuremath{\\tau}=0.003$":[50],"${(q=e}^{\\ensuremath{\\tau}})$":[51],"collapses":[53],"and":[54,103],"revivals":[55],"become":[59],"well-defined":[60],"facilitating":[61],"experimental":[62],"observation,":[63],"but":[64],"large":[66,136],"$\\ensuremath{\\tau}\\ensuremath{\\sim}0.1$":[67],"dependence":[70],"is":[74,124,145],"completely":[75,146],"wiped":[76],"out.":[77],"quasiprobability":[79],"shows":[81],"atypical":[83],"behavior":[84],"single":[87],"peak":[88],"at":[89,104],"$t=0$":[90],"splitting":[91],"up":[92],"into":[93],"many":[95],"seven":[97],"fragments":[98],"(at":[99],"$t=130$)":[100],"during":[101],"collapse":[102],"later":[106],"these":[108],"segments":[109],"come":[110],"together":[111],"to":[112,126],"signal":[113],"revival":[115],"inversion.":[118],"A":[119],"small":[120],"degree":[121],"anharmonicity":[123],"seen":[125],"enhance":[127],"coherence":[129,144],"ion-trap":[132],"system,":[133],"whereas":[134],"$\\ensuremath{\\tau}$":[137],"($\\ensuremath{\\sim}0.1$":[138],"present":[141],"context)":[142],"lost.":[147]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-11-01T11:40:01.658920","created_date":"2021-04-13T00:00:00"}
