  High-energy heavy-ion collisions at the Relativistic Heavy-Ion Collider and
the Large Hadron Collider have evolved from qualitative understanding into
precise extraction of the properties of the Quantum Chromodynamics medium at
extremely high temperature. Jet quenching has offered unique insights into the
transport properties of the Quark-Gluon Plasma (QGP) created in these energetic
collisions. Apart from medium modification of jets, jet-induced medium
excitation constitutes another crucial aspect of jet-QGP interaction, and is
indispensable in understanding the soft components of jets. We review recent
theoretical and phenomenological developments on medium response to jet energy
loss, including an overview of both weakly and strongly coupled approaches for
describing the thermalization and propagation of energy deposition from jets,
effects of medium response on jet observables, and exploration of its unique
signatures in jet-hadron correlations. Jet-induced medium excitation is shown
to be an essential component in probing the in-medium dynamics of jets and a
critical step towards precise extraction of the QGP properties.
