  A Linear Boltzmann Transport (LBT) Monte Carlo model has been developed to
describe jet propagation and interaction with the quark-gluon plasma (QGP) in
relativistic heavy-ion collisions. A complete set of elastic scattering
processes and medium-induced gluon emissions based on the higher-twist
formalism are incorporated for both jet shower and medium recoil partons. It
has been employed to describe experimental data on large transverse momentum
hadron and jet spectra, correlation and jet substructures in high-energy
heavy-ion collisions. We document in detail the structure of the model and
validation of the Monte Carlo implementations of the physics processes in LBT,
in particular, the inelastic process of medium-induced gluon radiation. We
carry out a comprehensive examination of the jet-medium interaction as
implemented in LBT through energy loss and momentum broadening of a single hard
parton, the energy and transverse momentum transfer from leading partons to
medium-induced gluons and jet-induced medium excitation, and medium
modification of reconstructed jets in a static and uniform medium. With
realistic and event-by-event hydrodynamic medium in heavy-ion collisions, we
compute and compare to experimental data on the jet cone-size dependence of the
single inclusive jet suppression at both Relativistic Heavy-Ion Collider (RHIC)
and the Large Hadron Collider (LHC), the dijet asymmetry at LHC and
$\gamma$-jet correlation at RHIC. Effects of medium-induced gluon emissions and
jet-induced medium excitation on jet observables are systematically examined.
Rescatterings of the radiated gluons and recoil partons with the QGP are found
essential to account for the enhancement of soft particle yield toward the edge
of the jet cone.
