  We consider the quantum stochastic dynamics of a system whose interaction
with the reservoir is considered to be linear in bath co-ordinates but
nonlinear in system co-ordinates. The role of the space-dependent friction and
diffusion has been examined in the decay rate of a particle from a meta-stable
well. We show how the decay rate can be hindered by inhomogeneous dissipation
due nonlinear system-bath coupling strength.
