We study a single two-level atom interacting with a reservoir of modes
defined by a reservoir structure function with a frequency gap. Using the
pseudomodes technique, we derive the main features of a trapping state formed
in the weak coupling regime. Utilising different entanglement measures we show
that strong correlations and entanglement between the atom and the modes are in
existence when this state is formed. Furthermore, an unexpected feature for the
reservoir is revealed. In the long time limit and for weak coupling the
reservoir spectrum is not constant in time.Comment: 10 pages, 16 figure
