  Recovering trajectories of quantum systems whose classical counterparts
display chaotic behavior has been a subject that has received a lot of interest
over the last decade. However, most of these studies have focused on driven and
dissipative systems. The relevance and impact of chaoticlike phenomena to
quantum systems has been highlighted in recent studies which have shown that
quantum chaos is significant in some aspects of quantum computation and
information processing. In this paper we study a three-body system comprising
of identical particles arranged so that the system's classical trajectories
exhibit Hamiltonian chaos. Here we show that it is possible to recover very
nearly classical-like, conservative, chaotic trajectories from such a system
through an unravelling of the master equation. First, this is done through
continuous measurement of the position of each system. Second, and perhaps
somewhat surprisingly, we demonstrate that we still obtain a very good match
between the classical and quantum dynamics by weakly measuring the position of
only one of the oscillators.
