{"title":"无限分量矢量自旋生成的开放dicke型模型","authors":"Ryota Kyokawa, H. Moriya, H. Tamura","doi":"10.1142/s1230161220500122","DOIUrl":null,"url":null,"abstract":"We consider an open Dicke model made of a single infinite-component vector spin and a single-mode harmonic oscillator assuming a Jaynes-Cummings type interaction between them. We study its algebraic structure and dynamics based on superoperator formalism. It is shown that by an explicit invertible superoperator its Liouvillian is transformed into a sum of two independent Liouvillians that are generated by a dressed spin and a dressed harmonic oscillator, respectively.","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"21 1","pages":"2050012:1-2050012:25"},"PeriodicalIF":1.3000,"publicationDate":"2020-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Open Dicke-Type Model Generated by an Infinite-Component Vector Spin\",\"authors\":\"Ryota Kyokawa, H. Moriya, H. Tamura\",\"doi\":\"10.1142/s1230161220500122\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider an open Dicke model made of a single infinite-component vector spin and a single-mode harmonic oscillator assuming a Jaynes-Cummings type interaction between them. We study its algebraic structure and dynamics based on superoperator formalism. It is shown that by an explicit invertible superoperator its Liouvillian is transformed into a sum of two independent Liouvillians that are generated by a dressed spin and a dressed harmonic oscillator, respectively.\",\"PeriodicalId\":54681,\"journal\":{\"name\":\"Open Systems & Information Dynamics\",\"volume\":\"21 1\",\"pages\":\"2050012:1-2050012:25\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2020-03-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Open Systems & Information Dynamics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1142/s1230161220500122\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Open Systems & Information Dynamics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1142/s1230161220500122","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
On the Open Dicke-Type Model Generated by an Infinite-Component Vector Spin
We consider an open Dicke model made of a single infinite-component vector spin and a single-mode harmonic oscillator assuming a Jaynes-Cummings type interaction between them. We study its algebraic structure and dynamics based on superoperator formalism. It is shown that by an explicit invertible superoperator its Liouvillian is transformed into a sum of two independent Liouvillians that are generated by a dressed spin and a dressed harmonic oscillator, respectively.
期刊介绍：
The aim of the Journal is to promote interdisciplinary research in mathematics, physics, engineering and life sciences centered around the issues of broadly understood information processing, storage and transmission, in both quantum and classical settings. Our special interest lies in the information-theoretic approach to phenomena dealing with dynamics and thermodynamics, control, communication, filtering, memory and cooperative behaviour, etc., in open complex systems.
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