{"id":"https://openalex.org/W7224899406","doi":"https://doi.org/10.48550/arxiv.2610.39387","title":"Analytic Solutions To Fully Quantized Parametric Amplification","display_name":"Analytic Solutions To Fully Quantized Parametric Amplification","publication_year":2026,"publication_date":"2026-10-29","ids":{"openalex":"https://openalex.org/W7224899406","doi":"https://doi.org/10.48550/arxiv.2610.39387"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.39387","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.39387","pdf_url":"https://arxiv.org/pdf/2610.39387","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/2610.39387","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078627501","display_name":"Wanli Xing","orcid":"https://orcid.org/0000-0002-9216-0559","observed_orcids":["https://orcid.org/0000-0002-9216-0559"]},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Xing, Wanli","raw_affiliation_strings":["UNSW Sydney , Sydney , New South Wales 2033 , Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UNSW Sydney , Sydney , New South Wales 2033 , Australia","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078891112","display_name":"Timothy C. Ralph","orcid":"https://orcid.org/0000-0003-0692-8427","observed_orcids":["https://orcid.org/0000-0003-0692-8427"]},"institutions":[{"id":"https://openalex.org/I165143802","display_name":"The University of Queensland","ror":"https://ror.org/00rqy9422","country_code":"AU","type":"education","lineage":["https://openalex.org/I165143802"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Ralph, Timothy C.","raw_affiliation_strings":["ARC Centre of Excellence for Quantum Computation and Communication Technology , School of Mathematics and Physics , The University of Queensland , St Lucia , Queensland 4072 , Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ARC Centre of Excellence for Quantum Computation and Communication Technology , School of Mathematics and Physics , The University of Queensland , St Lucia , Queensland 4072 , Australia","institution_ids":["https://openalex.org/I165143802"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"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":0.5351999998092651,"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":0.5351999998092651,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.42500001192092896,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.011800000444054604,"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/parametric-amplification","display_name":"parametric amplification","score":0.9110000133514404},{"id":"https://openalex.org/keywords/analytical-solution","display_name":"analytical solution","score":0.7889999747276306},{"id":"https://openalex.org/keywords/pump-depletion","display_name":"pump depletion","score":0.652999997138977},{"id":"https://openalex.org/keywords/higher-order-correlations","display_name":"higher-order correlations","score":0.8769999742507935}],"concepts":[{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.7128000259399414},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.6071000099182129},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5812000036239624},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.5758000016212463},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.526199996471405},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.48260000348091125},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.37880000472068787},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.37400001287460327},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36309999227523804},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.34060001373291016},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.3116999864578247},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.29980000853538513},{"id":"https://openalex.org/C68717125","wikidata":"https://www.wikidata.org/wiki/Q735602","display_name":"Quantum optics","level":2,"score":0.2676999866962433},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.2574999928474426},{"id":"https://openalex.org/C2987822364","wikidata":"https://www.wikidata.org/wiki/Q2122216","display_name":"Quantum information processing","level":3,"score":0.2563999891281128},{"id":"https://openalex.org/C85856720","wikidata":"https://www.wikidata.org/wiki/Q900653","display_name":"Heisenberg picture","level":3,"score":0.2549999952316284}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.39387","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.39387","pdf_url":"https://arxiv.org/pdf/2610.39387","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.2610.39387","doi":"https://doi.org/10.48550/arxiv.2610.39387","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.39387","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:2610.39387","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.39387","pdf_url":"https://arxiv.org/pdf/2610.39387","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":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7224899406.pdf","grobid_xml":"https://content.openalex.org/works/W7224899406.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7147534352","https://openalex.org/W4320724752","https://openalex.org/W2055382313","https://openalex.org/W2171123662","https://openalex.org/W2017940493","https://openalex.org/W3087202817","https://openalex.org/W2128750818","https://openalex.org/W3018415099","https://openalex.org/W1967492728","https://openalex.org/W4389584592"],"abstract_inverted_index":{"We":[0],"derive":[1],"analytic":[2],"expressions":[3,45],"for":[4,46],"observable":[5],"dynamics":[6],"under":[7],"the":[8,30,33,71,85,90],"fully":[9],"quantized":[10],"trilinear":[11],"Hamiltonian,":[12],"governing":[13],"quantum":[14,110],"three-wave":[15],"mixing":[16],"and":[17,25,28,39,50,75,103],"parametric":[18,57],"amplification.":[19],"Starting":[20],"from":[21],"a":[22],"coherent":[23],"pump":[24,73],"vacuum":[26],"signal":[27],"idler,":[29],"calculation":[31],"reorganizes":[32],"Heisenberg":[34],"expansion":[35],"into":[36],"resummed":[37],"depletion":[38],"return":[40],"profiles,":[41],"yielding":[42],"directly":[43],"evaluable":[44],"all":[47],"1st-,":[48],"2nd-":[49],"3rd-order":[51],"correlations.":[52],"The":[53,92,112],"construction":[54],"uses":[55],"no":[56],"approximation":[58],"or":[59],"fitted":[60],"parameters.":[61],"Representative":[62],"numerical":[63],"benchmarks":[64],"show":[65],"errors":[66],"of":[67,80,89],"order":[68],"$10^{-12}$":[69],"throughout":[70],"entire":[72],"depletion,":[74],"below":[76],"$10^{-3}$":[77],"across":[78],"dozens":[79],"depletion-and-back-conversion":[81],"cycles,":[82],"up":[83],"to":[84,107,117],"first":[86],"total":[87],"collapse":[88],"oscillation.":[91],"first-depletion":[93],"treatment":[94],"additionally":[95],"provides":[96],"4th-order":[97],"correlations,":[98],"accommodates":[99],"bright":[100],"squeezed-pump":[101],"inputs":[102],"reveals":[104],"phenomena":[105],"important":[106],"future":[108],"optical":[109],"technologies.":[111],"framework":[113],"can":[114],"be":[115],"extended":[116],"higher":[118],"moments.":[119]},"counts_by_year":[],"updated_date":"2026-11-02T09:45:03.842371","created_date":"2026-10-31T00:00:00"}