  For a quantum system in a steady state with a constant current of heat or
particles driven by a temperature or chemical potential difference between two
reservoirs attached to the system, the fluctuation theorem for the current was
previously shown to lead to the Green-Kubo formula for the linear response
coefficient for the current expressed in terms of the symmetrized correlation
function of the current density operator. In this article, we show that for a
quantum system in a steady state with a constant rate of work done on the
system, the fluctuation theorem for a quantity induced in the system also leads
to the Green-Kubo formula expressed in terms of the symmetrized correlation
function of the induced quantity. As an example, we consider a fluid in a
steady shear flow driven by a constant velocity of a solid plate moving above
the fluid.
