{"title":"A Quantum Extension to the Semiclassical Theory of Electrical Susceptibility","authors":"Jairo David García, Boris A. Rodríguez","doi":"10.1364/josab.502568","DOIUrl":null,"url":null,"abstract":"The semiclassical expressions for susceptibilities are inadequate when quantum aspects of light become prominent. A more appropriate formulation of the electrical susceptibility theory requires the quantization of the electromagnetic field. We show here a way to do this up to the second order, within a low-dimensional system. The generalized expressions reveal that susceptibilities depend on the quantum state of light. As experimentally verifiable consequences of this, we predict new phenomena such as photon number-dependent refractive index, even in the linear regime, and non-quadratic second harmonic generation, which should be appreciable when very low-intensity coherent light is involved. We also deduce when the semiclassical expressions, which happen to be particular cases of those derived here, can be used confidently.","PeriodicalId":17280,"journal":{"name":"Journal of The Optical Society of America B-optical Physics","volume":null,"pages":null},"PeriodicalIF":1.8000,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of The Optical Society of America B-optical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1364/josab.502568","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"OPTICS","Score":null,"Total":0}
引用次数: 0
Abstract
The semiclassical expressions for susceptibilities are inadequate when quantum aspects of light become prominent. A more appropriate formulation of the electrical susceptibility theory requires the quantization of the electromagnetic field. We show here a way to do this up to the second order, within a low-dimensional system. The generalized expressions reveal that susceptibilities depend on the quantum state of light. As experimentally verifiable consequences of this, we predict new phenomena such as photon number-dependent refractive index, even in the linear regime, and non-quadratic second harmonic generation, which should be appreciable when very low-intensity coherent light is involved. We also deduce when the semiclassical expressions, which happen to be particular cases of those derived here, can be used confidently.
期刊介绍:
The Journal of the Optical Society of America B (JOSA B) is a general optics research journal that complements JOSA A. It emphasizes scientific research on the fundamentals of the interaction of light with matter such as quantum optics, nonlinear optics, and laser physics. Topics include:
Advanced Instrumentation and Measurements
Fiber Optics and Fiber Lasers
Lasers and Other Light Sources from THz to XUV
Light-Induced Phenomena
Nonlinear and High Field Optics
Optical Materials
Optics Modes and Structured Light
Optomechanics
Metamaterials
Nanomaterials
Photonics and Semiconductor Optics
Physical Optics
Plasmonics
Quantum Optics and Entanglement
Quantum Key Distribution
Spectroscopy and Atomic or Molecular Optics
Superresolution and Advanced Imaging
Surface Optics
Ultrafast Optical Phenomena
Wave Guiding and Optical Confinement
JOSA B considers original research articles, feature issue contributions, invited reviews and tutorials, and comments on published articles.