{"title":"Quantum robust stability of a small Josephson junction in a resonant cavity","authors":"I. Petersen","doi":"10.1109/CCA.2012.6402399","DOIUrl":null,"url":null,"abstract":"This paper applies recent results on the robust stability of nonlinear quantum systems to the case of a Josephson junction in a resonant cavity. The Josephson junction is characterized by a Hamiltonian operator which contains a non-quadratic term involving a cosine function. This leads to a sector bounded nonlinearity which enables the previously developed theory to be applied to this system in order to analyze its stability.","PeriodicalId":284064,"journal":{"name":"2012 IEEE International Conference on Control Applications","volume":"25 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 IEEE International Conference on Control Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CCA.2012.6402399","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 9
Abstract
This paper applies recent results on the robust stability of nonlinear quantum systems to the case of a Josephson junction in a resonant cavity. The Josephson junction is characterized by a Hamiltonian operator which contains a non-quadratic term involving a cosine function. This leads to a sector bounded nonlinearity which enables the previously developed theory to be applied to this system in order to analyze its stability.
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