Rocking ratchets are asymmetric potentials operated in the non-linear respo
nse regime where rectifying behaviour can be observed. Mesoscopic electroni
c devices based on semiconductors with low carrier concentration are easily
driven away from linear response, and their electron dynamics is at low te
mperatures altered by quantum effects. Asymmetric semiconductor devices of
sub-micron dimensions are therefore suitable for experiments on "quantum ra
tchets", that is, rocking ratchets based on quantum effects, such as electr
on interference and tunnelling. We first describe experiments using triangu
lar electron cavities in the linear response regime, illustrating that, at
low temperatures, classical and quantum electron dynamics are determined by
the shape of the ballistic cavity. Physical reasons for a transition from
linear to non-linear behaviour in mesoscopic devices are discussed, and two
ratchet experiments in the non-linear regime are described. The sign of re
ctification in a quantum dot ratchet, based on electron interference effect
s, depends very sensitively on uncontrollably small deviations from the int
ended device shape, but can be tuned using parameters such as magnetic fiel
d, Fermi energy or the AC voltage. The current direction in a tunneling rat
chet can be predicted from the device shape, and is tunable by temperature,
when device parameters are suitably chosen.