A two-mode cavity field coupled to a two-level atom and damped by the environment through a phasedamped
process is considered. For a chosen initial state, the effects of phase damping on the purity loss of
the global system and different bipartite partitions of the system (atom–two modes, mode–(atom–
mode)) through the tangles are considered. In particular, the effect of phase damping on the amount
of entanglement between atom and field is evaluated by the negativity.