We analyze theoretically the charging current into, and the transport current through, a nanoscale two-dimensional electron system with two parallel quantum dots embedded in a short wire placed in a photon cavity. A plunger gate is used to place specific many-body states of the interacting system in the bias window defined by the external leads. We show how the transport phenomena active in the many-level complex central system strongly depend on the gate voltage. We identify a resonant transport through the central system as the two spin components of the one-electron ground state are in the bias window. This resonant transport through the lowest energy electron states seems to a large extent independent of the detuned photon field when judged from the transport current. This could be expected in the small bias regime, but an observation of the occupancy of the states of the system reveals that this picture is not entirely true. The current does not reflect slower photonactive internal transitions bringing the system into the steady state. The number of initially present photons determines when the system reaches the real steady state. With two-electron states in the bias window we observe a more complex situation with intermediate radiative and nonradiative relaxation channels leading to a steady state with a weak nonresonant current caused by inelastic tunneling through the two-electron ground state of the system. The presence of the radiative channels makes this phenomena dependent on the number of photons initially in the cavity.Various properties of nanoscale electron and spin systems in microwave cavities are presently the focus point of many researchers. Just to mention some; photon emission from a cavity-coupled double quantum dot caused by an electron transport through it has been reported, 1 and the manipulation of spin qubits in cavities has gained paramount interest.
2,3Investigations of transport of electrons through solidstate electronic systems placed in photon cavities are gaining attention. Partially, this is due to the obvious connection to efforts to achieve quantum computation in a solid-state system, and partially it is due to the interest to study fundamental light-matter interactions in a system expected to be highly tunable and offer increased sensitivity of measurements. In several cases the electronic systems have been single or multiple quantum dots created with InAs, 2 GaAs, 4,5 carbon nanotubes, 3 or graphene, 6 and very recently in SiGe heterostructures.
7Experiments have been reported on carbon nanotube quantum dots in a planar microwave cavity coupled to external fermionic or superconducting leads. The sensitivity of the measurements due to the cavity allows for the detection of a photon assisted current of 0.3 pA corresponding to the mean photon number in the cavity being 120,8,9 a current that is much lower than what is common in measurements of photon assisted tunneling through quantum dots when they are not placed in a cavity.
10Numerous models have been presented for transpo...