  The entanglement dynamics in a bipartite system consisting of a qubit and a
harmonic oscillator interacting only through their coupling with the same bath
is studied. The considered model assumes that the qubit is coupled to the bath
via the Jaynes-Cummings interaction, whilst the position of the oscillator is
coupled to the position of the bath via a dipole interaction. We give a
microscopic derivation of the Gorini-Kossakowski-Sudarshan-Lindblad equation
for the considered model. Based on the Kossakowski Matrix, we show that
non-classical correlations including entanglement can be generated by the
considered dynamics. We then analytically identify specific initial states for
which entanglement is generated. This result is also supported by our numerical
simulations.
