Quantum electron transport controlled by cavity vacuum fields

We explore theoretically how the coupling to cavity vacuum fields affects electron transport in quantum conductors due counter-rotating-wave terms of light-matter interaction. determine conductance transmission coefficients predicted by an effective Hamiltonian. The between bare electronic states is mediated virtual processes involving intermediate with one (or hole) on top Fermi sea and photon. study behavior presence artificial or disordered single-particle potentials, as well a spatially varying mode. As illustrative examples, we apply our theory 1D 2D Hall systems. show can lead both large enhancement suppression ballistic regime, modification quantization fluctuations.