期刊
PHYSICAL REVIEW LETTERS
卷 127, 期 1, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.127.013602
关键词
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资金
- Queen's University
- Canadian Foundation for Innovation
- Natural Sciences and Engineering Research Council of Canada
- CMC Microsystems
- Deutsche Forschungsgemeinschaft (DFG) [SFB 951, 182087777]
- Alexander von Humboldt Foundation through a Humboldt Research Award
- European Unions Horizon 2020 research and innovation program [734690]
This study demonstrates the breakdown of the photonic spontaneous emission (SE) formula in absorptive and amplifying media, and presents a corrected Fermi's golden rule and master equation for a quantum two-level system. The results show a net positive modification of the decay rate and the failure of commonly adopted formulas based solely on the local density of states.
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.
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