{"title":"非线性Kerr介质在\\(\\mathfrak {X}\\)型五能级原子和双量子系统统计测量中的有效性","authors":"Abdallah A. Nahla, M. M. A. Ahmed","doi":"10.1007/s13538-025-01758-1","DOIUrl":null,"url":null,"abstract":"<div><p>Statistical measurements for an optics model containing a five-level atom (5LA) and two quantum systems (2QS) are evaluated into two types of nonlinear Kerr-like media (NKLM). Two quantum systems represent the Boson and SU(1,1) systems. Suggest that the configuration of the 5LA and 2QS is <span>\\(\\mathfrak {X}\\)</span>-type. The 5LA initial state is in excited state as well as the Boson and SU(1,1) quantum systems are in coherent and Barut-Girardello states, respectively. The nonlinear Kerr-like medium represents two different types for two quantum systems. Well-famous statistical measures such as population inversion, Shannon entropy, autocorrelation, coherence, and Cauchy-Schwarz inequality are evaluated and analyzed. The effectiveness of Kerr parameters in the proposed statistical measurements are discussed.</p></div>","PeriodicalId":499,"journal":{"name":"Brazilian Journal of Physics","volume":"55 4","pages":""},"PeriodicalIF":1.5000,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13538-025-01758-1.pdf","citationCount":"0","resultStr":"{\"title\":\"Effectiveness of Nonlinear Kerr Medium in Statistical Measurements of \\\\(\\\\mathfrak {X}\\\\)-type Five-Level Atom and Two Quantum Systems\",\"authors\":\"Abdallah A. Nahla, M. M. A. Ahmed\",\"doi\":\"10.1007/s13538-025-01758-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Statistical measurements for an optics model containing a five-level atom (5LA) and two quantum systems (2QS) are evaluated into two types of nonlinear Kerr-like media (NKLM). Two quantum systems represent the Boson and SU(1,1) systems. Suggest that the configuration of the 5LA and 2QS is <span>\\\\(\\\\mathfrak {X}\\\\)</span>-type. The 5LA initial state is in excited state as well as the Boson and SU(1,1) quantum systems are in coherent and Barut-Girardello states, respectively. The nonlinear Kerr-like medium represents two different types for two quantum systems. Well-famous statistical measures such as population inversion, Shannon entropy, autocorrelation, coherence, and Cauchy-Schwarz inequality are evaluated and analyzed. The effectiveness of Kerr parameters in the proposed statistical measurements are discussed.</p></div>\",\"PeriodicalId\":499,\"journal\":{\"name\":\"Brazilian Journal of Physics\",\"volume\":\"55 4\",\"pages\":\"\"},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2025-04-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s13538-025-01758-1.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Brazilian Journal of Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s13538-025-01758-1\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Brazilian Journal of Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s13538-025-01758-1","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Effectiveness of Nonlinear Kerr Medium in Statistical Measurements of \(\mathfrak {X}\)-type Five-Level Atom and Two Quantum Systems
Statistical measurements for an optics model containing a five-level atom (5LA) and two quantum systems (2QS) are evaluated into two types of nonlinear Kerr-like media (NKLM). Two quantum systems represent the Boson and SU(1,1) systems. Suggest that the configuration of the 5LA and 2QS is \(\mathfrak {X}\)-type. The 5LA initial state is in excited state as well as the Boson and SU(1,1) quantum systems are in coherent and Barut-Girardello states, respectively. The nonlinear Kerr-like medium represents two different types for two quantum systems. Well-famous statistical measures such as population inversion, Shannon entropy, autocorrelation, coherence, and Cauchy-Schwarz inequality are evaluated and analyzed. The effectiveness of Kerr parameters in the proposed statistical measurements are discussed.
期刊介绍:
The Brazilian Journal of Physics is a peer-reviewed international journal published by the Brazilian Physical Society (SBF). The journal publishes new and original research results from all areas of physics, obtained in Brazil and from anywhere else in the world. Contents include theoretical, practical and experimental papers as well as high-quality review papers. Submissions should follow the generally accepted structure for journal articles with basic elements: title, abstract, introduction, results, conclusions, and references.