The Lorentz–Drude model for electric dipoles is a classical framework widely used in the study of dipole dynamics and light-matter interactions. This article focuses on the behavior of Lorentz–Drude dipoles when their radiative rate dominates their energy loss. It is asserted that dipole radiation losses do not count toward phenomenological dipole losses if the driving field is interpreted as the total field at the dipole. In particular, if the dipole does not contain non-radiative losses, then the Lorentz–Drude damping term should be removed. This is verified by self-consistent implementations of point dipoles in finite-difference time-domain simulations, which also provide a method to directly compute the transport properties of light when dipoles are present.
{"title":"Lorentz–Drude Dipoles in the Radiative Limit and Their Modeling in Finite-Difference Time-Domain Methods","authors":"Heming Wang, Shanhui Fan","doi":"10.1002/andp.202500156","DOIUrl":"https://doi.org/10.1002/andp.202500156","url":null,"abstract":"<p>The Lorentz–Drude model for electric dipoles is a classical framework widely used in the study of dipole dynamics and light-matter interactions. This article focuses on the behavior of Lorentz–Drude dipoles when their radiative rate dominates their energy loss. It is asserted that dipole radiation losses do not count toward phenomenological dipole losses if the driving field is interpreted as the total field at the dipole. In particular, if the dipole does not contain non-radiative losses, then the Lorentz–Drude damping term should be removed. This is verified by self-consistent implementations of point dipoles in finite-difference time-domain simulations, which also provide a method to directly compute the transport properties of light when dipoles are present.</p>","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":"537 8","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144809264","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
<p>The resource-theoretic frameworks for quantum imaginarity have been developed in recent years. Within these frameworks, many imaginarity measures for finite-dimensional systems have been proposed. However, for imaginarity of Gaussian states in continuous-variable (CV) systems, there are only two known Gaussian imaginarity measures, which exhibit prohibitive computational complexity when applied to multi-mode Gaussian states. In this paper, a computable Gaussian imaginarity measure <span></span><math>