Fig. 3: Comparison of the subradiant and superradiant lifetimes.
From: Tailoring the superradiant and subradiant nature of two coherently coupled quantum emitters
a Decays curves of the subradiant and superradiant states. The laser pulses have a rise-fall time of 1 ns and a repetition rate 100 kHz. The solid curves are exponential fits with lifetimes τ+ = 6.3 ns and τ− = 11.1 ns, which are consistent with the computed subradiant lifetime \({{\tau }_{-}=\left({\gamma }_{0}-2{ab}{\gamma }_{12}\right)}^{-1}={1.43\gamma }_{0}^{-1}\) and the superradiant one \({{\tau }_{+}=\left({\gamma }_{0}+2{ab}{\gamma }_{12}\right)}^{-1}={0.77\gamma }_{0}^{-1}\), using a = 0.88, b = 0.47, γ12 = 0.35γ0. The coefficients a and b are deduced from the diagonalization of the Hamiltonian H in the absence of laser field. The detuning Δ = 15γ0 is derived from the splitting between |A〉 and |S〉 and from the coupling constant V = 9.5γ0 that is deduced from the fits of the excitation spectra at various excitation intensities. Inset: Histogram of the lifetime of 35 uncoupled single molecules. The blue and red bars indicate the values of τ+ and τ− for the coupled pair. b Evolution of τ+ (blue circles) and τ− (red circles) with the molecular detuning Δ which is varied by differential Stark shifts of the molecular resonances from 15γ0 to 32γ0. The solid curves are the computed values of τ+ and τ−. The black circles are the inverse of the average subradiant and superradiant decay rates (\({\tau }_{+}^{-1}\) and \({\tau }_{-}^{-1}\)), and coincide with the average lifetime of the uncoupled single molecules (black dashed lines).
