{"title":"Generation and some nonclassical properties of a nonlinear finite-dimensional pair coherent state","authors":"E. Khalil","doi":"10.1088/0305-4470/39/35/007","DOIUrl":null,"url":null,"abstract":"We propose a scheme for generating a nonlinear finite-dimensional pair coherent state of the vibrational motion of an ion in a two-dimensional trap. It is a type of the correlated two-mode states but in finite dimensions. Based on the resonant ion–cavity interaction, we propose a scheme to generate these states revealing their connection with the converter type of interaction and investigate some of their nonclassical properties.","PeriodicalId":87442,"journal":{"name":"Journal of physics A: Mathematical and general","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2006-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"16","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of physics A: Mathematical and general","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/0305-4470/39/35/007","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 16
Abstract
We propose a scheme for generating a nonlinear finite-dimensional pair coherent state of the vibrational motion of an ion in a two-dimensional trap. It is a type of the correlated two-mode states but in finite dimensions. Based on the resonant ion–cavity interaction, we propose a scheme to generate these states revealing their connection with the converter type of interaction and investigate some of their nonclassical properties.