Abstract

Abstract The Fano and Rabi models represent remarkably common effects in optics. Here we study the coherent time dynamics of plasmonic systems exhibiting Fano and Rabi spectral responses. We demonstrate that these systems show fundamentally different dynamics. A plasmonic system with a Fano resonance displays at most one temporal beat under pulsed excitation, whereas a plasmonic system in the Rabi-like regime may have any number of beats. Remarkably, the Fano-like systems show time dynamics with very characteristic coherent tails despite the strong decoherence that is intrinsic for such systems. The coherent Fano and Rabi dynamics that we predicted can be observed in plasmonic nanocrystal dimers in time-resolved experiments. Our study demonstrates that such coherent temporal plasmonics includes non-trivial and characteristic relaxation behaviors and presents an interesting direction to develop with further research.

Highlights

  • The Fano and Rabi effects are characteristic properties of two interacting oscillators

  • We study the coherent time dynamics of plasmonic systems exhibiting Fano and Rabi spectral responses. We demonstrate that these systems show fundamentally different dynamics

  • We found that the Fano effect (FE) in the time domain exhibits very characteristic and unique features

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Summary

Introduction

The Fano and Rabi effects are characteristic properties of two interacting oscillators. In striking contrast to the Fano system, the two oscillators involved in a Rabi resonance have narrow absorption lines. In hybrid exciton–plasmon nanostructures and in electromagnetic resonators with a built-in two-level system, this phenomenon is detected as the so-called Rabi splitting in the frequency domain [19,20,21,22] For plasmonic nanocrystals, this spectral splitting effect is often regarded as a plasmon– plasmon hybridization [23]. In all the above cases, the Rabi-like regime involves two different excitations, both having narrow absorption lines. In the Rabi-like systems, the relaxation dynamics may have a large number of beating oscillations before they are fully dampened To reveal these features of coherent relaxation, we used two different excitation methods: point dipoles placed next to the coupled NPs and external electromagnetic pulses. Our study aims to motivate a novel direction of research termed by us as “coherent temporal plasmonics,” in which custom-made plasmonic nanostructures could provide a very convenient platform for observing complex and non-trivial dynamical regimes

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