Abstract
The statistical properties of photon emission counting, especially the waiting time distributions (WTDs) and large deviation statistics, of a cavity coupled with the system of double quantum dots (DQDs) driven by an external microwave field were investigated with the particle-number-resolved master equation. The results show that the decay rate of the WTDs of the cavity for short and long time limits can be effectively tuned by the driving external field Rabi frequency, the frequency of the cavity photon, and the detuning between the microwave driving frequency and the energy-splitting of the DQDs. The photon emission energy current will flow from the thermal reservoir to the system of the DQDs when the average photon number of the cavity in a steady state is larger than that of the thermal reservoir; otherwise, the photon emission energy current will flow in the opposite direction. This also demonstrates that the effect of the DQDs can be replaced a thermal reservoir when the rate difference of a photon absorbed and emitted by DQDs is larger than zero; otherwise, it is irreplaceable. The results deepen our understanding of the statistical properties of photon emission counting. It has a promising application in the construction of nanostructured devices of photon emission on demand and of optoelectronic devices.
Highlights
Counting statistics is at the center of attention in the quantum statistical description of a given process, counting the random number of events up to a given point
Comparing the cyan line and red line, we find that the probability of small and large emission currents of Δ = 5Γ are higher than those of double quantum dots (DQDs) replaced with a thermal reservoir with n = 10, n = 3 for Δ = 5Γ while n = 5.5 for DQDs replaced with a
We firstly employed Born–Markov approximation and the projecting operator method to obtain the reduced master equation of a cavity coupled with a system of DQDs which was driven by an external microwave field
Summary
Counting statistics is at the center of attention in the quantum statistical description of a given process, counting the random number of events up to a given point. It is found that WTDs contain information about few-photon processes, which cannot be extracted from standard correlation measurements, and the large-deviation statistics of the photon current are helpful in understanding earlier results of heat-transport statistics and work distributions. These results can be generalized to a microwave cavity coupled with nanoscopic devices. A system of double quantum dots (DQDs) interacting through microwave resonators has been proposed, and it is thought that this setup can be used to entangle macroscopically separated electron transport, which has applications in nanoscale quantum information processing [31] This provides a new way to study light–matter interactions [32] and implement a QD laser [33].
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