Monitoring the fluorescent radiation of an atom unravels the master equatio
n evolution by collapsing the atomic state into a pure state which evolves
stochastically. A robust unraveling is one that gives pure states that, on
average, are relatively unaffected by the master-equation evolution (which
applies once the monitoring ceases). The ensemble of pure states arising fr
om the maximally robust unraveling has been suggested to be the most natura
l way of representing the system [H.M.. Wiseman and J.A. Vaccaro, Phys. Let
t. A 250, 241 (1998)]. We find that the maximally robust unraveling of a re
sonantly driven atom requires an adaptive interferometric measurement propo
sed by Wiseman and Toombes [Phys. Rev. A 60, 2474 (1999)]. The resultant en
semble consists of just two purr states which, in the high driving limit, a
re close to the eigenstates of the driving Hamiltonian Omega sigma(x)/2. Th
is ensemble is the closest thing to a classical limit for a strongly driven
atom We also find that it is possible to reasonably approximate this ensem
ble using just homodyne detection, an example of a continuous Markovian unr
aveling. This has implications for other systems, for which it may be neces
sary in practice to consider only continuous Markovian unravelings.