{"title":"由一串啁啾高斯脉冲驱动谐振子","authors":"S. Hassan, R. Alharbey, T. Jarad, S. Almaatooq","doi":"10.12732/IJAM.V33I1.6","DOIUrl":null,"url":null,"abstract":"Exact analytical operator solutions of the interacting model of a single quantized (non-dissipative) harmonic oscillator (HO) with a train of n-chirped Gaussian pulses are derived in terms of the error function of complex argument. Explicit expressions are then calculated and examined computationally for the average photon number of the HO and the emitted spectrum. The chirp parameter (c) induces non-sinusoidal oscillations that lead to: (i) ’step-like plateau’ in the dynamics of the average photon number with both n, τR (repetition time) large, and, (ii) a ’hole burning’ profile and asymmetrical ringing in the spectrum, depends on the initial state of the HO. AMS Subject Classification: 81V80, 81S22","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"27 1","pages":"59"},"PeriodicalIF":0.0000,"publicationDate":"2020-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"DRIVEN HARMONIC OSCILLATOR BY TRAIN OF CHIRPED GAUSSIAN PULSES\",\"authors\":\"S. Hassan, R. Alharbey, T. Jarad, S. Almaatooq\",\"doi\":\"10.12732/IJAM.V33I1.6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Exact analytical operator solutions of the interacting model of a single quantized (non-dissipative) harmonic oscillator (HO) with a train of n-chirped Gaussian pulses are derived in terms of the error function of complex argument. Explicit expressions are then calculated and examined computationally for the average photon number of the HO and the emitted spectrum. The chirp parameter (c) induces non-sinusoidal oscillations that lead to: (i) ’step-like plateau’ in the dynamics of the average photon number with both n, τR (repetition time) large, and, (ii) a ’hole burning’ profile and asymmetrical ringing in the spectrum, depends on the initial state of the HO. AMS Subject Classification: 81V80, 81S22\",\"PeriodicalId\":14365,\"journal\":{\"name\":\"International journal of pure and applied mathematics\",\"volume\":\"27 1\",\"pages\":\"59\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-02-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International journal of pure and applied mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12732/IJAM.V33I1.6\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International journal of pure and applied mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12732/IJAM.V33I1.6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
DRIVEN HARMONIC OSCILLATOR BY TRAIN OF CHIRPED GAUSSIAN PULSES
Exact analytical operator solutions of the interacting model of a single quantized (non-dissipative) harmonic oscillator (HO) with a train of n-chirped Gaussian pulses are derived in terms of the error function of complex argument. Explicit expressions are then calculated and examined computationally for the average photon number of the HO and the emitted spectrum. The chirp parameter (c) induces non-sinusoidal oscillations that lead to: (i) ’step-like plateau’ in the dynamics of the average photon number with both n, τR (repetition time) large, and, (ii) a ’hole burning’ profile and asymmetrical ringing in the spectrum, depends on the initial state of the HO. AMS Subject Classification: 81V80, 81S22
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
