Abstract
We study collective effects in an inhomogeneously broadened ensemble of two-level emitters coupled to an optical cavity with narrow linewidth. Using second order mean field theory we find that the emitters within a few times the cavity linewidth exhibit synchronous behaviour and undergo collective Rabi oscillations. Under proper conditions, the synchronized oscillations give rise to a modulated intracavity field which can excite emitters detuned by many linewidths from the cavity resonance. To study the synchronization in further detail, we simplify the model and consider two ensembles and study steady state properties when the emitters are subjected to an incoherent drive.
Highlights
There has been significant progress in the study of optical emitters in solids like NV centers in nanodiamonds [1, 2], rare earth ions doped in crystals [3, 4], quantum dots in nanoscale semiconductors [5] etc
We study collective effects in an inhomogeneously broadened ensemble of two-level emitters coupled to an optical cavity with narrow linewidth
We study the synchronization dynamics of an inhomogeneously broadened ensemble of twolevel emitters coupled to an optical cavity, subjected to
Summary
There has been significant progress in the study of optical emitters in solids like NV centers in nanodiamonds [1, 2], rare earth ions doped in crystals [3, 4], quantum dots in nanoscale semiconductors [5] etc. We study the synchronization dynamics of an inhomogeneously broadened ensemble of twolevel emitters coupled to an optical cavity, subjected to. We initially choose a high value of the decay rate γ/2π = 2 MHz. We choose the coupling to be g/2π = 1.6 kHz and an optical cavity of linewidth κ/2π = 160 kHz. The inhomogeneous broadening reported in the experiments [7] was 22 GHz, we initially restrict our calculations to Γinh/2π = 3.75 MHz, following a Gaussian distribution with mean δc and standard deviation 10κ. We consider identical coupling between single emitters and the cavity This approximation is justified in the regime of weak excitation, where the ensemble collective excitation dynamics in each frequency class depends only on the rms coupling strength. In the subsection we simplify the model and consider the case when the emitters are subjected to an incoherent drive leading to a steady state emission
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