  The time-dependent energy transfer in a driven quantum system strongly
coupled to a heat bath is studied within an influence functional approach.
Exact formal expressions for the statistics of energy dissipation into the
different channels are derived. The general method is applied to the driven
dissipative two-state system. It is shown that the energy flows obey a balance
relation, and that, for strong coupling, the interaction may constitute the
major dissipative channel. Results in analytic form are presented for a
particular value of strong Ohmic dissipation. The energy flows show interesting
behaviors including driving-induced coherences and quantum stochastic
resonances.
