{"title":"双激非线性振荡器自发衰减的精确理论","authors":"A. Kozhekin, V. Rupasov","doi":"10.1088/0954-8998/4/3/005","DOIUrl":null,"url":null,"abstract":"The interaction of a quantized electromagnetic field with a non-linear oscillator is described by a model which is analogous to the Dicke model. The exact two-particle eigenstates of the 'oscillator+field' system are obtained and these states are used to solve the problem of spontaneous decay of a twofold excited state of a non-linear oscillator. The shape of radiation lines and the 'linear oscillator' paradox are discussed. The authors also hope the exact solution of the problem will be useful for investigations of two-photon correlations in a non-linear medium for all cases when multiphoton correlations are insignificant.","PeriodicalId":130003,"journal":{"name":"Quantum Optics: Journal of The European Optical Society Part B","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Exact theory of spontaneous decay of a twofold excited non-linear oscillator\",\"authors\":\"A. Kozhekin, V. Rupasov\",\"doi\":\"10.1088/0954-8998/4/3/005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The interaction of a quantized electromagnetic field with a non-linear oscillator is described by a model which is analogous to the Dicke model. The exact two-particle eigenstates of the 'oscillator+field' system are obtained and these states are used to solve the problem of spontaneous decay of a twofold excited state of a non-linear oscillator. The shape of radiation lines and the 'linear oscillator' paradox are discussed. The authors also hope the exact solution of the problem will be useful for investigations of two-photon correlations in a non-linear medium for all cases when multiphoton correlations are insignificant.\",\"PeriodicalId\":130003,\"journal\":{\"name\":\"Quantum Optics: Journal of The European Optical Society Part B\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Quantum Optics: Journal of The European Optical Society Part B\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1088/0954-8998/4/3/005\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quantum Optics: Journal of The European Optical Society Part B","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/0954-8998/4/3/005","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Exact theory of spontaneous decay of a twofold excited non-linear oscillator
The interaction of a quantized electromagnetic field with a non-linear oscillator is described by a model which is analogous to the Dicke model. The exact two-particle eigenstates of the 'oscillator+field' system are obtained and these states are used to solve the problem of spontaneous decay of a twofold excited state of a non-linear oscillator. The shape of radiation lines and the 'linear oscillator' paradox are discussed. The authors also hope the exact solution of the problem will be useful for investigations of two-photon correlations in a non-linear medium for all cases when multiphoton correlations are insignificant.