Quantum efficiency of a microwave photon detector based on a double quantum dot

摘要

Motivated by recent interest in implementing circuit quantum electrodynamicswith semiconducting quantum dots, we consider a double quantum dot (DQD)capacitively coupled to a superconducting resonator that is driven by themicrowave field of a superconducting transmission line. We analyze the DQDcurrent response using input-output theory and show that the resonator-coupledDQD is a sensitive microwave single photon detector. Using currently availableexperimental parameters of DQD-resonator coupling and dissipation, includingthe effects of $1/f$ charge noise and phonon noise, we determine the parameterregime for which incident photons are completely absorbed and near unit$\gtrsim$ 98\% efficiency can be achieved. We show that this regime can bereached by using very high quality resonators with quality factor $Q\simeq10^5$.