{"title":"Attochaos I:高次谐波产生的经典混沌后现代","authors":"Jonathan Berkheim, David J. Tannor","doi":"arxiv-2405.05804","DOIUrl":null,"url":null,"abstract":"Attosecond physics provides unique insights into light-matter interaction on\nultrafast time scales. Its core phenomenon, High Harmonic Generation (HHG), is\noften described by a classical recollision model, the simple-man or three-step\nmodel, where the atomic potential is disregarded. Many features are already\nwell explained using this model; however, the simplicity of the model does not\nallow the possibility of classical chaotic motion. We show that beyond this\nmodel, classical chaotic motion does exist albeit on timescales that are\ngenerally longer than the first recollision time. Chaos is analyzed using tools\nfrom the theory of dynamical systems, such as Lyapunov exponents and\nstroboscopic maps. The calculations are done for a one-dimensional Coulomb\npotential subjected to a linearly polarized electric field.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"124 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Attochaos I: The classically chaotic postcursor of high harmonic generation\",\"authors\":\"Jonathan Berkheim, David J. Tannor\",\"doi\":\"arxiv-2405.05804\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Attosecond physics provides unique insights into light-matter interaction on\\nultrafast time scales. Its core phenomenon, High Harmonic Generation (HHG), is\\noften described by a classical recollision model, the simple-man or three-step\\nmodel, where the atomic potential is disregarded. Many features are already\\nwell explained using this model; however, the simplicity of the model does not\\nallow the possibility of classical chaotic motion. We show that beyond this\\nmodel, classical chaotic motion does exist albeit on timescales that are\\ngenerally longer than the first recollision time. Chaos is analyzed using tools\\nfrom the theory of dynamical systems, such as Lyapunov exponents and\\nstroboscopic maps. The calculations are done for a one-dimensional Coulomb\\npotential subjected to a linearly polarized electric field.\",\"PeriodicalId\":501482,\"journal\":{\"name\":\"arXiv - PHYS - Classical Physics\",\"volume\":\"124 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-05-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Classical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2405.05804\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Classical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2405.05804","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Attochaos I: The classically chaotic postcursor of high harmonic generation
Attosecond physics provides unique insights into light-matter interaction on
ultrafast time scales. Its core phenomenon, High Harmonic Generation (HHG), is
often described by a classical recollision model, the simple-man or three-step
model, where the atomic potential is disregarded. Many features are already
well explained using this model; however, the simplicity of the model does not
allow the possibility of classical chaotic motion. We show that beyond this
model, classical chaotic motion does exist albeit on timescales that are
generally longer than the first recollision time. Chaos is analyzed using tools
from the theory of dynamical systems, such as Lyapunov exponents and
stroboscopic maps. The calculations are done for a one-dimensional Coulomb
potential subjected to a linearly polarized electric field.