Abstract

We study the excitonic dynamics of a driven quantum dot under the influence of a phonon environment, going beyond the weak exciton–phonon coupling approximation. By combining the polaron transform and time-local projection operator techniques, we develop a master equation that can be valid over a much larger range of exciton–phonon coupling strengths and temperatures than in the case of the standard weak-coupling approach. For the experimentally relevant parameters considered here, we find that the weak-coupling and polaron theories give very similar predictions for low temperatures (below 30 K), while at higher temperatures we begin to see discrepancies between the two. This is because, unlike the polaron approach, the weak-coupling theory is incapable of capturing multiphonon effects, while it also does not properly account for phonon-induced renormalization of the driving frequency. In particular, we find that the weak-coupling theory often overestimates the damping rate when compared to the polaron theory. Finally, we extend our theory to include non-Markovian effects and find that, for the parameters considered here, they have little bearing on the excitonic Rabi rotations when plotted as a function of pulse area.

Highlights

  • Semiconductor quantum dots (QDs) provide a promising setting in which to explore the interplay of coherent control and decoherence in the solid-state

  • This has lead to demonstrations of fundamentally quantum mechanical effects, such as laser-driven excitonic Rabi rotations [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16] and two-photon interference in QD emission [17, 18, 19, 20]

  • We have developed a combined polaron transform, time-local master equation approach to the problem, which accounts for non-perturbative effects such as multiphonon processes and phonon-induced driving renormalisation

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Summary

Introduction

Semiconductor quantum dots (QDs) provide a promising setting in which to explore the interplay of coherent control and decoherence in the solid-state. Our master equation is able to account for “nonperturbative” effects not captured in a weakcoupling treatment, such as multiphonon processes and phonon-induced renormalisation of the driving pulse This is important in exploring the exciton dynamics at elevated temperatures (above 30 K for the parameters we consider), where such effects may become important.

Model and polaron transformation
Master equation derivation
Markov approximation
Regimes of validity
Resonant excitation dynamics
Time-dependent driving
Constant driving
Non-Markovian effects
Discussion and summary
Full Text
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