Charge-photon transport statistics and short-time correlations in a single quantum dot-resonator system with an arbitrarily large coupling parameter

摘要

Electrical quantum conductors coupled to microwave resonators have in the last decade emerged as a versatile test bed for controllable light-matter interaction on the nanometer scale. Recent experimental progress with high-impedance resonators has resulted in conductor-resonator systems with a large, dimensionless coupling parameter. lambda greater than or similar to 0.1, well beyond the small-coupling regime,. lambda 1. Motivated by this progress, we here analyze theoretically the joint statistics of transported electrons and emitted photons in a single-level quantum dot coupled to a microwave resonator, for arbitrarily large lambda. Describing the electron-photon dynamics via a number-resolved master equation, we evaluate the joint long-time probability distribution as well as joint short-time, g((2)) (t), correlation functions. Considering the high-bias regime, with sequential electron tunneling and working in the damping basis, allows us to obtain analytical results for both transport cumulants and g((2))(t) functions. It is found that the photons emitted out of the resonator are bunched and display a super-Poissonian statistics, for all system parameters. However, the electron transport properties are found to be unaffected by the coupling to the resonator, antibunched and with sub-Poissonian statistics. From the joint distribution we identify regimes of electron-tunneling-induced photon cascades and very large g((2)) (t) functions. All g((2)) (t) functions are found to be independent of lambda. We also identify conditions for and transport signatures of a thermal resonator photon state.