{"title":"詹尼斯-卡明斯-哈伯德模型中的粒子-空穴Ansatz","authors":"Moorad Alexanian","doi":"10.54503/18291171-2023.16.1-1","DOIUrl":null,"url":null,"abstract":"A recurrence relation ansatz between annihilation operators applied to the hopping interaction term of the Jaynes-Cummings-Hubbard model (JCHM) reduces the JCHM to that of the ordinary Jaynes-Cummings model (JCM), albeit, with a boson energy depending on the hopping strength. This allows us to calculate the phase diagram for the Mott-to-superfluid phase transition and the critical hopping strength as a function of the detuning.","PeriodicalId":623,"journal":{"name":"Journal of Contemporary Physics (Armenian Academy of Sciences)","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2023-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Particle-Hole Ansatz in the Jaynes-Cummings-Hubbard Model\",\"authors\":\"Moorad Alexanian\",\"doi\":\"10.54503/18291171-2023.16.1-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A recurrence relation ansatz between annihilation operators applied to the hopping interaction term of the Jaynes-Cummings-Hubbard model (JCHM) reduces the JCHM to that of the ordinary Jaynes-Cummings model (JCM), albeit, with a boson energy depending on the hopping strength. This allows us to calculate the phase diagram for the Mott-to-superfluid phase transition and the critical hopping strength as a function of the detuning.\",\"PeriodicalId\":623,\"journal\":{\"name\":\"Journal of Contemporary Physics (Armenian Academy of Sciences)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-05-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Contemporary Physics (Armenian Academy of Sciences)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.54503/18291171-2023.16.1-1\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Contemporary Physics (Armenian Academy of Sciences)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.54503/18291171-2023.16.1-1","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Particle-Hole Ansatz in the Jaynes-Cummings-Hubbard Model
A recurrence relation ansatz between annihilation operators applied to the hopping interaction term of the Jaynes-Cummings-Hubbard model (JCHM) reduces the JCHM to that of the ordinary Jaynes-Cummings model (JCM), albeit, with a boson energy depending on the hopping strength. This allows us to calculate the phase diagram for the Mott-to-superfluid phase transition and the critical hopping strength as a function of the detuning.
期刊介绍：
Journal of Contemporary Physics (Armenian Academy of Sciences) is a journal that covers all fields of modern physics. It publishes significant contributions in such areas of theoretical and applied science as interaction of elementary particles at superhigh energies, elementary particle physics, charged particle interactions with matter, physics of semiconductors and semiconductor devices, physics of condensed matter, radiophysics and radioelectronics, optics and quantum electronics, quantum size effects, nanophysics, sensorics, and superconductivity.
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