  The environment of a quantum dot, which is connected to two leads, is modeled
by telegraph noise, i.e. random Markovian jumps of the (spinless) electron
energy on the dot between two levels. The temporal evolutions of the charge on
the dot and of the currents in the leads are studied using a recently developed
single-particle basis approach, which is particularly convenient for the
averaging over the histories of the noise. In the steady state limit we recover
the Landauer formula. At a very fast jump rate between the two levels, the
noise does not affect the transport. As the jump rate decreases, the effective
average transmission crosses over from the transmission through a single
(average) level to an incoherent sum of the transmissions through the two
levels. 13 pages, 6 figuresThe transient temporal evolution towards the steady
state is dominated by the displacement current at short times, and by the
Landauer current at long times. It contains oscillating terms, which decay to
zero faster than for the case without noise. When the average chemical
potential on the leads equals the dot's "original" energy, without the noise,
the oscillations disappear completely and the transient evolution becomes
independent of the noise.
