  We derive a direct connection between Monte Carlo time and physical time in
terms of physical parameters, using a quantum Hamiltonian with a
$d$-dimensional phonon heat bath interacting with a square-lattice Ising
ferromagnet. Based on the calculated transition rates, we perform dynamic Monte
Carlo simulations using absorbing Markov chains to measure the lifetimes of the
metastable state at low temperatures. We also calculate the lifetimes
analytically using absorbing Markov chains. The phonon dynamic gives
field-dependent prefactors in the lifetimes at low temperatures, that are
different from the piecewise field-independent prefactors obtained from the
Glauber dynamic.
