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Bulletin of the American Physical Society

Cooperative ultrastrong atom-light coupling from an effective mapping picture of single-photon superradiance.

Yao Zhou, Zihao Chen, Jung‐Tsung Shen

Published Mar 5, 2019• 2 citations
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Atom coherence in the cooperative interaction between the atoms and a single photon creates ultrafast spontaneous emission and ultrastrong intensity peaks, namely single-photon superradiance, which has attracted considerable research interest in the recent years. As the investigation for such a single-photon superradiance usually involves only quantum emitters, in this paper we present the cooperative atom-photon interaction in a system including whispering gallery mode resonators, which are one of the most essential components in nanophotonic devices. Here we both analytically and computationally show that the separated atoms on a resonator can obtain cooperative interaction, manifesting superradiant coupling strength, which results in the ultrafast spontaneous emission and ultrastrong intensity peaks. The conditions of such single-photon superradiance are called whispering gallery mode superradiance conditions. Furthermore, the atoms are proved to have cooperative interaction on a cascade of resonators by a renormalization approach.
As a manifestation of cooperative interactions between a single photon and a cluster of atoms, single-photon superradiance has attracted considerable attention recently but has been studied insofar as that only quantum emitters are involved in the superradiance process. Here we expand the scope of investigation to study single-photon superradiance in a waveguide-quantum-electrodynamical system containing whispering-gallery-mode (WGM) resonators which are essential for many nanophotonic devices. It is shown analytically and numerically that single-photon superradiance can also occur when WGM resonators are present. The criteria for the emergence of the superradiant emission peak and the enhanced atom-light coupling strength are derived. Finally, the general case of a cascade of WGM resonators is investigated by a renormalization approach. Single-photon frequency comb generation is demonstrated via a frequency-modulated superradiant effective atom in chiral waveguide-quantum-electrodynamical systems with WGM resonators.
In a waveguide-QED system, under certain condition, the spontaneous emission rate of an atom cloud with a single excitation can be enhanced. Single-photon superradiance refers to the case when the enhancement attains its maximum. We show that an atom cloud exhibiting single-photon superradiance can be described by an effective two-level system. We also adopt a real space numerical approach to validate the understanding of single-photon superradiance using such an effective mapping picture. We further numerically investigate the spontaneous emission of superradiant state and dark state.