  We propose experimental protocols to reveal thermoelectric and thermal
effects in the transport properties of ultracold fermionic atoms, using the
two-terminal setup recently realized at ETH. We show in particular that, for
two reservoirs having equal particle numbers but different temperatures
initially, the observation of a transient particle number imbalance during
equilibration is a direct evidence of thermoelectric (off-diagonal) transport
coefficients. This is a time-dependent analogue of the Seebeck effect, and a
corresponding analogue of the Peltier effect can be proposed. We reveal that in
addition to the thermoelectric coupling of the constriction a thermoelectric
coupling also arises due to the finite dilatation coefficient of the
reservoirs. We present a theoretical analysis of the protocols, and assess
their feasibility by estimating the corresponding temperature and particle
number imbalances in realistic current experimental conditions.
