Abstract
A simple model for open quantum systems is analyzed with random matrix theory. The system is coupled to the continuum in a minimal way. In this paper the effect on the level statistics of opening the system is seen. In particular the ${\ensuremath{\Delta}}_{3}(L)$ statistic, the width distribution and the level spacing are examined as a function of the strength of this coupling. The emergence of a super-radiant transition is observed. The level spacing and ${\ensuremath{\Delta}}_{3}(L)$ statistics exhibit the signatures of missed levels or intruder levels as the super-radiant state is formed.
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