Exponential convergence rates in the L2-tail norm and entropy are
characterized for the second quantization semigroups by using the corresponding
base Dirichlet form. This supplements the well known result on the
L2-exponential convergence rate of second quantization semigroups. As
applications, birth-death type processes on Poisson spaces and the path space
of L\'evy processes are investigated.Comment: 20 page