  We leverage the Keldysh formalism to extend our implementation of finite
temperature coupled cluster theory [\textit{J. Chem. Theory Comput.} 2018,
\textit{14}, 5690-5700] to thermal systems that have been driven out of
equilibrium. The resulting Keldysh coupled cluster theory is discussed in
detail. We describe the implementation of the equations necessary to perform
Keldysh coupled cluster singles and doubles calculations of finite temperature
dynamics, and we apply the method to some simple systems including a Hubbard
model with a Peierls phase and an {\it ab initio} model of warm-dense silicon
subject to an ultrafact XUV pulse.
