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Fermi's Golden Rule for Spontaneous Emission in Absorptive and Amplifying Media

机译:Fermi在吸收和放大媒体中自发排放的黄金法则

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摘要

We demonstrate a fundamental breakdown of the photonic spontaneous emission (SE) formula derived from Fermi's golden rule, in absorptive and amplifying media, where one assumes the SE rate scales with the local photon density of states, an approach often used in more complex, semiclassical nanophotonics simulations. Using a rigorous quantization of the macroscopic Maxwell equations in the presence of arbitrary linear media, we derive a corrected Fermi's golden rule and master equation for a quantum two-level system (TLS) that yields a quantum pumping term and a modified decay rate that is net positive. We show rigorous numerical results of the temporal dynamics of the TLS for an example of two coupled microdisk resonators, forming a gain-loss medium, and demonstrate the clear failure of the commonly adopted formulas based solely on the local density of states.
机译:我们展示了来自Fermi的黄金法则的光子自发发射(SE)公式的基本崩溃,在吸收和放大介质中,其中假设具有状态的局部光子密度的SE速率尺度,通常用于更复杂,半星期性的方法 纳米光电学模拟。 在任意线性介质存在下,使用宏观麦克斯韦方程的严格量化,我们推导了校正的费米的金色规则和母版式,用于量子两级系统(TLS),从而产生量子泵送术语和改进的衰减率 净正面。 对于两个耦合的微仪谐振器的示例,我们显示了TLS的时间动态的严格数值结果,形成增益损失介质,并证明了仅基于状态的局部密度的通常采用的公式的清晰失效。

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  • 来源
    《Physical review letters》 |2021年第1期|013602.1-013602.6|共6页
  • 作者单位

    Tech Univ Berlin Inst Theoret Phys Nichtlineare Opt & Quantenelekt Hardenbergstr 36 D-10623 Berlin Germany|Queens Univ Dept Phys Engn Phys & Astron Kingston ON K7L 3N6 Canada;

    Queens Univ Dept Phys Engn Phys & Astron Kingston ON K7L 3N6 Canada;

    Tech Univ Berlin Inst Theoret Phys Nichtlineare Opt & Quantenelekt Hardenbergstr 36 D-10623 Berlin Germany;

    Tech Univ Berlin Inst Theoret Phys Nichtlineare Opt & Quantenelekt Hardenbergstr 36 D-10623 Berlin Germany;

    Queens Univ Dept Phys Engn Phys & Astron Kingston ON K7L 3N6 Canada;

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