Abstract

The authors show that the peculiar spectral response of the electromagnetic field of a high-Q cavity operating at an exceptional point modifies the spontaneous emission of a single emitter in the strong coupling regime. The theory, based on macroscopic QED in dispersing and absorbing media, demonstrates much longer effective decay times in the exceptional point case in comparison to the single-mode case

Highlights

  • Non-Hermitian physical systems have attracted much attention recently for their unconventional behavior around exceptional points (EPs), which are defined as spectral singularities at which two or more eigenvalues and their associated eigenvectors coalesce [1]

  • Within the framework of exact quantum electrodynamics in dispersing and absorbing media, we study the strong-coupling regime of a single emitter–high-Q cavity system in the case where two cavity modes and the corresponding resonant frequencies coalesce at an EP

  • Starting with macroscopic quantum electrodynamics (QED) theory in dispersing and absorbing media, we have presented an exact description of the resonant interaction of a two-level emitter in a high-Q cavity in the case where two cavity modes form an EP

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Summary

INTRODUCTION

Non-Hermitian physical systems have attracted much attention recently for their unconventional behavior around exceptional points (EPs), which are defined as spectral singularities at which two or more eigenvalues and their associated eigenvectors coalesce [1]. In relation to the study of light-matter interaction, it has recently been shown that spontaneous emission of dipole emitters in the weak-coupling regime can be modified at an EP, leading to strong enhancement of the emission rate [12,13]. In the case of an EP exhibits a narrowed, squared Lorentzian line shape, with a larger peak value in comparison to the single-resonance case. This effect makes it possible to modify the frequency response near the EP resonance [15,16,17]. The dynamics of the emitterfield interaction at an EP results from two features of the EP: the larger emission peak value at the EP in comparison to the single-mode case and the narrower emission peak of a squared Lorentzian line shape compared to that of a standard Lorentzian spectrum

GENERAL THEORY
SPONTANEOUS EMISSION AT AN EP
SUMMARY AND DISCUSSION
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