  We research the transport properties of inertial Brownian particles which
move in a symmetric periodic potential and are subjected to both a symmetric,
unbiased time-periodic external force and biased Poissonian white shot noise
(of non-zero average F) being composed of a random sequence of delta-shaped
pulses with random amplitudes. Upon varying the parameters of white shot-noise
one conveniently can manipulate the transport direction and the overall
nonlinear response behavior. Within tailored parameter regimes, we find that
the response is opposite to the applied average bias F of such white shot
noise. This very transport characteristics thus mimics a nonlinear Absolute
Negative Mobility (ANM) regime. Moreover, such white shot noise driven ANM is
robust with respect to statistics of the shot noise spikes. Our findings can be
checked and corroborated experimentally by use of a setup that consists of a
single resistively and capacitively shunted Josephson junction device.
