  Quantum steering in a system consisting of a qubit coupled to a single-mode
field is explored when classical-like measurements implemented by heterodyne
detection schemes that collapse the state of the field on to a coherent state
is considered. The quantum steering ellipsoid of the qubit is constructed to
visualize the set of states on to which it can be steered using such
measurements. In some cases, the steering set does not form an ellipsoid since
only heterodyne detection is considered. Evolution of the steering ellipsoid
corresponding to joint evolution of the qubit and field under the
Jaynes-Cummins hamiltonian is also studied.
