{"title":"与位移热光学场密度算子相对应的热真空状态及其应用","authors":"Anpeng Wang, Xiangguo Meng, Zhenping Xie","doi":"10.1007/s10773-024-05716-6","DOIUrl":null,"url":null,"abstract":"<p>The heart of the light field theory at finite temperatures is the introduce of a thermal vacuum state, which is also the basis for studying the statistical properties of quantum light fields. Based on Takahashi and Umezawa's thermal chaotic field dynamics theory (TFD), this paper introduces a \" fictitious mode\" to represent the degrees of freedom of the thermal environment, then the thermal vacuum of the displaced thermal state (DTS) is proposed and constructed by the integration within an ordered product (IWOP) in the extended space, and we obtained the expected value of the photon number, fluctuation, second-order coherence, Wigner function. Finally, it is found that the photon number of the system is decreased at a rate of <span>\\(\\kappa t\\)</span> due to the interaction of the DTS with the surrounding thermal environment by calculating the photon number diffusion.</p>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":1.3000,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Thermal Vacuum State Corresponding to Displaced Thermal Optical Fields Density Operator and Its Applications\",\"authors\":\"Anpeng Wang, Xiangguo Meng, Zhenping Xie\",\"doi\":\"10.1007/s10773-024-05716-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The heart of the light field theory at finite temperatures is the introduce of a thermal vacuum state, which is also the basis for studying the statistical properties of quantum light fields. Based on Takahashi and Umezawa's thermal chaotic field dynamics theory (TFD), this paper introduces a \\\" fictitious mode\\\" to represent the degrees of freedom of the thermal environment, then the thermal vacuum of the displaced thermal state (DTS) is proposed and constructed by the integration within an ordered product (IWOP) in the extended space, and we obtained the expected value of the photon number, fluctuation, second-order coherence, Wigner function. Finally, it is found that the photon number of the system is decreased at a rate of <span>\\\\(\\\\kappa t\\\\)</span> due to the interaction of the DTS with the surrounding thermal environment by calculating the photon number diffusion.</p>\",\"PeriodicalId\":597,\"journal\":{\"name\":\"International Journal of Theoretical Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2024-07-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Theoretical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1007/s10773-024-05716-6\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1007/s10773-024-05716-6","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Thermal Vacuum State Corresponding to Displaced Thermal Optical Fields Density Operator and Its Applications
The heart of the light field theory at finite temperatures is the introduce of a thermal vacuum state, which is also the basis for studying the statistical properties of quantum light fields. Based on Takahashi and Umezawa's thermal chaotic field dynamics theory (TFD), this paper introduces a " fictitious mode" to represent the degrees of freedom of the thermal environment, then the thermal vacuum of the displaced thermal state (DTS) is proposed and constructed by the integration within an ordered product (IWOP) in the extended space, and we obtained the expected value of the photon number, fluctuation, second-order coherence, Wigner function. Finally, it is found that the photon number of the system is decreased at a rate of \(\kappa t\) due to the interaction of the DTS with the surrounding thermal environment by calculating the photon number diffusion.
期刊介绍:
International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.