Lindblad approach to spatio-temporal quantum dynamics of phonon-induced carrier capture processes

摘要

In view of the ultrashort spatial and temporal scales involved, carriercapture processes in nanostructures are genuine quantum phenomena. To describesuch processes, methods with different levels of approximations have beendeveloped. By properly tailoring the Lindblad-based nonlinear single-particledensity matrix equation provided by an alternative Markov approach, in thiswork we present a Lindblad superoperator to describe how the phonon-inducedcarrier capture affects the spatio-temporal quantum dynamics of a flying wavepacket impinging on a quantum dot. We compare the results with non-Markovianquantum kinetics calculations and discuss the advantages and drawbacks of thetwo approaches.