{"title":"量子光学与离散空间-离散时间-詹尼斯-卡明斯模型","authors":"John M. Arnold","doi":"10.1109/ICEAA.2015.7297291","DOIUrl":null,"url":null,"abstract":"The Jaynes-Cummings model of early quantum optics is examined from the point of view of a discrete-space discrete-time formulation of the electromagnetic field (the FDTD formulation) excited by an elementary quantum Hertzian dipole associated to a single edge of the discrete-space lattice. The quantum Hertz dipole is a natural 2-level atomic system, and the quantum dynamics of the electromagnetic field in the discrete space surrounding the dipole, described by functional integrals over field space, is essentially a stochastic (Monte-Carlo) algorithm for solving the FDTD equations by searching for the field distribution about which the field action Lagrangian functional S is stationary.","PeriodicalId":277112,"journal":{"name":"2015 International Conference on Electromagnetics in Advanced Applications (ICEAA)","volume":"295 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quantum optics and the discrete-space discrete-time Jaynes-Cummings model\",\"authors\":\"John M. Arnold\",\"doi\":\"10.1109/ICEAA.2015.7297291\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Jaynes-Cummings model of early quantum optics is examined from the point of view of a discrete-space discrete-time formulation of the electromagnetic field (the FDTD formulation) excited by an elementary quantum Hertzian dipole associated to a single edge of the discrete-space lattice. The quantum Hertz dipole is a natural 2-level atomic system, and the quantum dynamics of the electromagnetic field in the discrete space surrounding the dipole, described by functional integrals over field space, is essentially a stochastic (Monte-Carlo) algorithm for solving the FDTD equations by searching for the field distribution about which the field action Lagrangian functional S is stationary.\",\"PeriodicalId\":277112,\"journal\":{\"name\":\"2015 International Conference on Electromagnetics in Advanced Applications (ICEAA)\",\"volume\":\"295 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-10-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 International Conference on Electromagnetics in Advanced Applications (ICEAA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICEAA.2015.7297291\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 International Conference on Electromagnetics in Advanced Applications (ICEAA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICEAA.2015.7297291","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Quantum optics and the discrete-space discrete-time Jaynes-Cummings model
The Jaynes-Cummings model of early quantum optics is examined from the point of view of a discrete-space discrete-time formulation of the electromagnetic field (the FDTD formulation) excited by an elementary quantum Hertzian dipole associated to a single edge of the discrete-space lattice. The quantum Hertz dipole is a natural 2-level atomic system, and the quantum dynamics of the electromagnetic field in the discrete space surrounding the dipole, described by functional integrals over field space, is essentially a stochastic (Monte-Carlo) algorithm for solving the FDTD equations by searching for the field distribution about which the field action Lagrangian functional S is stationary.