  Spin-Peierls transition occurs in a one-dimensional $S=1$ Heisenberg
antiferromagnetic model with single-ion anisotropy, coupled to finite frequency
bond phonons, in a magnetic field. Our results indicate that for the pure
Heisenberg model, any Peierls transition is suppressed by quantum fluctuations
of the phonon field. However, a novel magnetic field-induced Spin-Peierls phase
is realized in the presence of strong single-ion anisotropy. Contrary to the
standard Peierls state, the periodicity of bond strength modulation in this
field-induced Spin-Peierls state is variable and depends on the strength of the
applied field. The nature of the ground state in this new phase and the
associated field-driven transitions to and out of this phase are explored using
extensive numerical simulations. In particular, we explore the spin and bond
correlations and the evolution of bond order modulation with varying magnetic
field.
