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

Abstract

In view of the ultrashort spatial and temporal scales involved, carrier capture processes in nanostructures are genuine quantum phenomena. To describe such processes, methods with different levels of approximations have been developed. By properly tailoring the Lindblad-based nonlinear single-particle density matrix equation provided by an alternative Markov approach, in this work we present a Lindblad superoperator to describe how the phonon-induced carrier capture affects the spatio-temporal quantum dynamics of a flying wave packet impinging on a quantum dot. We compare the results with non-Markovian quantum kinetics calculations and discuss the advantages and drawbacks of the two approaches.

15 pages, 10 figures

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Cited by in corpus (8)

• A phenomenological position and energy resolving Lindblad approach to quantum kinetics
• Master Equations for Electron Transport: The Limits of the Markovian Limit
• Analytic expressions for the steady-state current with finite extended reservoirs
• Spatial control of carrier capture in two-dimensional materials: Beyond energy selection rules
• Impact of charge transfer excitons on unidirectional exciton transport in lateral TMD heterostructures
• Two dimensional semiconductors: optical and electronic properties
• Electron dynamics in a 2D nanobubble: A two-level system based on spatial density
• Phonon-mediated exciton capture in Mo-based transition metal dichalcogenides