Preparation of a three-photon state in a nonlinear cavity - quantum dot system

We study theoretically the properties of a three-photon state prepared inside a semiconductor cavity, due to the interaction between a quantum dot and an electromagnetic field, and two consecutive spontaneous parametric downconversion (SPDC) processes. Thus, we consider a scheme involving three modes of the electromagnetic field, whose frequencies are given by the SPDC processes: $ω_0 \rightarrow ω_1 + ω_2$, and $ω_2 \rightarrow ω_1 + ω_1$. Furthermore, we study the low excitation regime, in which a three-photon state is accessible within the system's dynamics.

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