  In this paper, we look into what happens to a quantum system under repeated
measurements if it interacts with two independent reservoirs. In particular, we
look at the behavior of a two-level system interacting with reservoirs
consisting of harmonic oscillators. The interaction with one reservoir is weak
with a dissipative-type coupling, while the interaction with the other
reservoir is strong with a dephasing-type coupling. Using a polaron
transformation, we show that the presence of the strongly coupled reservoir can
actually reduce the decay rate of the quantum system due to the effect of the
weakly-coupled reservoir.
