  In an externally driven multilevel quantum system observation that the NEXT
jump has not yet happened affects its future development. In previous work
[Phys. Rev. A36, 929 (1987)] it was shown that this class of measurement makes
it possible to observe remarkably long dark intervals -- or intermittency -- in
the atomic fluorescence of an atom with 3 or more levels. Those calculations
were carried out when the driven oscillations or Rabi flopping between the
ground state and a strongly fluorescing state were fast compared to its
lifetime. In systems with solid state Qubits the accessible parameter space is
generally limited to the regime where oscillations are slower than the
lifetime. In this paper we evaluate intermittency in atomic transitions, due to
measurements with a null result, in this limit. During the dark periods the
wave function of the continuously measured multilevel system is coherent.
