A Quantum Extension to the Semiclassical Theory of Electrical Susceptibility

IF 1.8 4区 物理与天体物理 Q3 OPTICS Journal of The Optical Society of America B-optical Physics Pub Date : 2023-10-30 DOI:10.1364/josab.502568
Jairo David García, Boris A. Rodríguez
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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.
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半经典电敏感性理论的量子推广
当光的量子方面变得突出时,磁化率的半经典表达式是不充分的。一个更合适的电磁化率理论的表述需要电磁场的量子化。我们在这里展示了一种在低维系统中,达到二阶的方法。广义表达式表明,磁化率依赖于光的量子态。作为实验验证的结果,我们预测了新的现象,如光子数依赖的折射率,即使在线性体制,和非二次谐波产生,这应该是值得注意的,当非常低强度的相干光涉及。我们还推导出半经典表达式(碰巧是这里推导出的那些表达式的特殊情况)在什么时候可以自信地使用。
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来源期刊
CiteScore
4.00
自引率
5.30%
发文量
374
审稿时长
2.1 months
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.
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