{"title":"对角化杰恩斯-康明斯哈密顿和杰恩斯-康明斯相干态","authors":"Stephen M. Barnett, Bryan J. Dalton","doi":"10.1364/josab.521046","DOIUrl":null,"url":null,"abstract":"We determine the form of the unitary transformation that diagonalizes the Jaynes-Cummings Hamiltonian. This leads to operators the action of which has a simple interpretation in terms of the dressed states, the energy eigenstates. This suggests a set of coherent states and spin coherent states based on the dressed states.","PeriodicalId":501621,"journal":{"name":"Journal of the Optical Society of America B","volume":" 23","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Diagonalizing the Jaynes-Cummings Hamiltonian and Jaynes-Cummings coherent states\",\"authors\":\"Stephen M. Barnett, Bryan J. Dalton\",\"doi\":\"10.1364/josab.521046\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We determine the form of the unitary transformation that diagonalizes the Jaynes-Cummings Hamiltonian. This leads to operators the action of which has a simple interpretation in terms of the dressed states, the energy eigenstates. This suggests a set of coherent states and spin coherent states based on the dressed states.\",\"PeriodicalId\":501621,\"journal\":{\"name\":\"Journal of the Optical Society of America B\",\"volume\":\" 23\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-04-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Optical Society of America B\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1364/josab.521046\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Optical Society of America B","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1364/josab.521046","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Diagonalizing the Jaynes-Cummings Hamiltonian and Jaynes-Cummings coherent states
We determine the form of the unitary transformation that diagonalizes the Jaynes-Cummings Hamiltonian. This leads to operators the action of which has a simple interpretation in terms of the dressed states, the energy eigenstates. This suggests a set of coherent states and spin coherent states based on the dressed states.
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