{"title":"相干态的离散叠加和m光子非谐振子的相位特性","authors":"M. Paprzycka, R. Tanas","doi":"10.1088/0954-8998/4/5/008","DOIUrl":null,"url":null,"abstract":"The formation of discrete superpositions of coherent states via the unitary evolution of the m-photon anharmonic oscillator is studied. Exact analytical formulae for the superposition coefficients are obtained. It is shown that, in contrast to the two-photon anharmonic oscillator, for m>2 the superposition components enter the superposition with different amplitudes. The Pegg-Barnett phase formalism is used to calculate the phase distributions for the resulting states and to visualize their symmetry.","PeriodicalId":130003,"journal":{"name":"Quantum Optics: Journal of The European Optical Society Part B","volume":"140 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"22","resultStr":"{\"title\":\"Discrete superpositions of coherent states and phase properties of the m-photon anharmonic oscillator\",\"authors\":\"M. Paprzycka, R. Tanas\",\"doi\":\"10.1088/0954-8998/4/5/008\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The formation of discrete superpositions of coherent states via the unitary evolution of the m-photon anharmonic oscillator is studied. Exact analytical formulae for the superposition coefficients are obtained. It is shown that, in contrast to the two-photon anharmonic oscillator, for m>2 the superposition components enter the superposition with different amplitudes. The Pegg-Barnett phase formalism is used to calculate the phase distributions for the resulting states and to visualize their symmetry.\",\"PeriodicalId\":130003,\"journal\":{\"name\":\"Quantum Optics: Journal of The European Optical Society Part B\",\"volume\":\"140 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"22\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Quantum Optics: Journal of The European Optical Society Part B\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1088/0954-8998/4/5/008\",\"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/10.1088/0954-8998/4/5/008","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Discrete superpositions of coherent states and phase properties of the m-photon anharmonic oscillator
The formation of discrete superpositions of coherent states via the unitary evolution of the m-photon anharmonic oscillator is studied. Exact analytical formulae for the superposition coefficients are obtained. It is shown that, in contrast to the two-photon anharmonic oscillator, for m>2 the superposition components enter the superposition with different amplitudes. The Pegg-Barnett phase formalism is used to calculate the phase distributions for the resulting states and to visualize their symmetry.
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