Proposal for detection of non-Markovian decay via current noise

We propose to detect non-Markovian decay of an exciton qubit coupled to multimode bosonic reservoir via shot-noise measurements. Nonequilibrium current noise is calculated for a quantum dot embedded inside a p-i-n junction. An additional term from non-Markovian effect is obtained in the derivation of noise spectrum. As examples, two practical photonic reservoirs, photon vacuum with the inclusion of cut-off frequency and surface plasmons, are given to show that the noise may become super-Poissonian due to this non-Markovian effect. Utilizing the property of super-radiance is further suggested to enhance the noise value.