Quantitative determination of modal photon number density spectrum in arbitrary dielectric structures with a quantum emitter

doi:10.1088/1674-1056/adb262

中国物理B ›› 2025, Vol. 34 ›› Issue (4): 44204-044204.doi: 10.1088/1674-1056/adb262

Quantitative determination of modal photon number density spectrum in arbitrary dielectric structures with a quantum emitter

Li-Heng Chen(陈立恒)†, Fengfeng Luo(罗凤凤), and Yonggui Gao(高勇贵)

Department of Basic Courses Teaching, Software Engineering Institute of Guangzhou, Guangzhou 510990, China

收稿日期:2024-11-07 修回日期:2025-01-19 接受日期:2025-02-05 出版日期:2025-04-15 发布日期:2025-04-15
通讯作者: Li-Heng Chen E-mail:chlheng@qq.com
基金资助:
Project supported by the Basic and Applied Basic Research Project, Guangzhou Basic Research Plan (Grant No. 202201011444).

Quantitative determination of modal photon number density spectrum in arbitrary dielectric structures with a quantum emitter

Li-Heng Chen(陈立恒)†, Fengfeng Luo(罗凤凤), and Yonggui Gao(高勇贵)

Department of Basic Courses Teaching, Software Engineering Institute of Guangzhou, Guangzhou 510990, China

Received:2024-11-07 Revised:2025-01-19 Accepted:2025-02-05 Online:2025-04-15 Published:2025-04-15
Contact: Li-Heng Chen E-mail:chlheng@qq.com
Supported by:
Project supported by the Basic and Applied Basic Research Project, Guangzhou Basic Research Plan (Grant No. 202201011444).

摘要/Abstract

摘要： Understanding the photon number statistics of a quantum emitter (QE) interacting with complex photonic environments is fundamental to advances in quantum optics and nanophotonics. We introduce a general theoretical framework for calculating the modal photon number density spectrum (MPNDS) in arbitrary dielectric structures with an embedded two-level QE. We validate our approach by investigating a system composed of a two-level QE and a photonic crystal (PhC) slab with an L3 cavity and a waveguide, finding that the MPNDS exhibits significant changes in both waveguide and background radiative channels as the interaction between the QE and modal field transitions from weak coupling to strong coupling. We observe that the number of photons guided along the waveguide shows a strong dependence on the QE's transition frequency and transition dipole moment, but demonstrates robustness to the transition dipole moment when the transition frequency approaches the waveguide cutoff frequency. Our work allows for the determination and tailoring of light emission characteristics across diverse radiative channels in complex photonic environments.

关键词: beta factor, light extraction efficiency, photoluminescence spectrum, photonic crystals, power spectrum, spontaneous emission, strong coupling interaction

Abstract: Understanding the photon number statistics of a quantum emitter (QE) interacting with complex photonic environments is fundamental to advances in quantum optics and nanophotonics. We introduce a general theoretical framework for calculating the modal photon number density spectrum (MPNDS) in arbitrary dielectric structures with an embedded two-level QE. We validate our approach by investigating a system composed of a two-level QE and a photonic crystal (PhC) slab with an L3 cavity and a waveguide, finding that the MPNDS exhibits significant changes in both waveguide and background radiative channels as the interaction between the QE and modal field transitions from weak coupling to strong coupling. We observe that the number of photons guided along the waveguide shows a strong dependence on the QE's transition frequency and transition dipole moment, but demonstrates robustness to the transition dipole moment when the transition frequency approaches the waveguide cutoff frequency. Our work allows for the determination and tailoring of light emission characteristics across diverse radiative channels in complex photonic environments.

Key words: beta factor, light extraction efficiency, photoluminescence spectrum, photonic crystals, power spectrum, spontaneous emission, strong coupling interaction

中图分类号: (Cavity quantum electrodynamics; micromasers)

42.50.Pq

42.50.Ct (Quantum description of interaction of light and matter; related experiments) 42.70.Qs (Photonic bandgap materials)

Li-Heng Chen(陈立恒), Fengfeng Luo(罗凤凤), and Yonggui Gao(高勇贵). Quantitative determination of modal photon number density spectrum in arbitrary dielectric structures with a quantum emitter[J]. 中国物理B, 2025, 34(4): 44204-044204.

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Quantitative determination of modal photon number density spectrum in arbitrary dielectric structures with a quantum emitter

Quantitative determination of modal photon number density spectrum in arbitrary dielectric structures with a quantum emitter

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