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- W4313250939 abstract "$mathcal{N}$ emitters collectively coupled to a quantized cavity mode are described by the Tavis-Cummings model. We present a complete analytical solution of the model in the presence of inhomogeneous couplings and energetic disorder. We derive the exact expressions for the bright and the dark sectors that decouple the disordered model and find that, in the thermodynamic limit, the energetic disorder transforms the bright sector to Fano's model that can be easily solved. We thoroughly explore the effects of energetic disorder assuming a Gaussian distribution of emitter transition energies. We compare the Fano resonances in optical absorption and inelastic electron scattering in both the weak and the strong coupling regimes. We study the evolution of the optical absorption with an increase in the disorder strength and find that it changes the lower and upper polaritons to their broadened resonances that finally transform to a single resonance at the bare cavity photon energy, thus taking the system from the strong to the weak coupling regime. Interestingly, we learn that Rabi splitting can exist even in the weak coupling regime, while the polaritonic peaks in the strong coupling regime can represent almost excitonic states at intermediate disorder strengths. We also calculate the photon Green's function to see the effect of cavity leakage and nonradiative emitter losses and find that the polariton line width exhibits a minimum as a function of detuning when the cavity leakage is comparable to the Fano broadening." @default.
- W4313250939 created "2023-01-06" @default.
- W4313250939 creator A5058197326 @default.
- W4313250939 date "2022-12-27" @default.
- W4313250939 modified "2023-09-27" @default.
- W4313250939 title "Analytical solution of the disordered Tavis-Cummings model and its Fano resonances" @default.
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- W4313250939 doi "https://doi.org/10.1103/physreva.106.063720" @default.
- W4313250939 hasPublicationYear "2022" @default.
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