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\begin{center}
  {\bf \Large \textsf{Six-wave mixing in cold atoms for narrowband triplets of photons}}
\end{center}
We plan to generate three-photon states from a cold atomic ensembles, extending the results of~[5].
The photon spectrum and bandwidth will be automatically compatible with other atomic systems, and the possibility of heralding a photon pairs would open the possibility of improving the scaling of quantum protocols based on light-atom interactions.

\begin{figurehere}
\begin{minipage}{0.3\linewidth}
    \centering
    \includegraphics[width=1\columnwidth]{six_wave_mixing/energy_levels_SAB}
\end{minipage}
\begin{minipage}{0.7\linewidth}
    \centering
    \includegraphics[width=.6\columnwidth]{six_wave_mixing/phase_matching_sketch}\\
    \includegraphics[width=.9\columnwidth]{six_wave_mixing/swm_seed.pdf}
\end{minipage}\\[.5cm]
\figcaption{Left: schematic of the energy levels of $^{87}$Rb for the six-wave mixing.
Top right: The proposed phase matching solution. The choice of a non-collinear phase-matching allows for the geometrical separation of modes only few hundreds of MHz away.
Bottom right: before attempting the observation of photon triplets, we confirm the soundness of the our experimental approach by parametrically amplifying a seed laser beam at $795$~ns (corresponding to photon~$C$) in a five-beam configuration, and observing the concurrent generation of $762$~nm light, signature of the six-wave mixing process.
}
\end{figurehere}