Rare top quark production in ATLAS ($t\bar{t}t\bar{t}$, $tqZ$, $tq\gamma$)

The exceptionally large dataset of top quarks collected by the ATLAS experiment at the LHC during the Run 2 paves the way for more precise tests of the Standard Model in the top-quark sector. The search for rare processes involving top quarks aims at the inspection of the Standard Model in tiny corners of the phase space, looking for processes with the lowest accessible cross- sections. This document contains a review of the latest results from these searches published by the ATLAS Collaboration aiming at the measurement of $t\bar{t}t\bar{t}$, $tqZ$ and $tq\gamma$ productions.