Many-photon scattering and entangling in a waveguide with a Λ -type atom
Denis Ilin, A. V. Poshakinskiy · Physical Review A · 2024
We develop the analytical theory that describes simultaneous transmission of several photons through a waveguide coupled to a $\mathrm{\ensuremath{\Lambda}}$-type atom. We show that after transmission of a short few-photon pulse, the final state of the atom and all the photons is a genuine multipartite entangled state belonging to the $W$ class. The parameters of the input pulse are optimized to maximize the efficiency of three- and four-partite $W$-state production. The probability to obtain the canonical $W$ state of many photons is shown to be larger than $1/\mathrm{e}$.