  We investigate the influence of a quantized photon field on thermoelectric
transport of electrons through a quantum wire embedded in a photon cavity. The
quantum wire is connected to two electron reservoirs at different temperatures
leading to a generation of a thermoelectric current. The transient
thermoelectric current strongly depends on the photon energy and the number of
photons initially in the cavity. Two different regimes are studied,
off-resonant and resonant polarized fields, with photon energy smaller than, or
equal to the energy spacing between some of the lowest states in the quantum
wire. We observe that the current is inverted for the off-resonant photon field
due to participation of photon replica states in the transport. A reduction in
the current is recorded for the resonant photon field, a direct consequence of
the Rabi-splitting.
