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Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection

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Phase coherence, inelastic scattering, and interaction corrections in pumping through quantum dots.

Davide Fioretto¹, Alessandro Silva

¹Dipartimento di Fisica, Universita' degli Studi di Milano, Milano, Italy.

Physical Review Letters

|July 23, 2008

Summary

We present a new method to describe quantum pumping in quantum dots with interactions, going beyond Brouwer's formula. This approach accounts for remanent coherence and inelastic scattering effects.

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Area of Science:

Quantum physics
Condensed matter physics
Mesoscopic systems

Background:

Adiabatic quantum pumping in quantum dots is typically described by Brouwer's formula for noninteracting systems.
Interactions within quantum dots suppress phase coherence, rendering Brouwer's formula inapplicable.
A new theoretical framework is needed to accurately describe pumping in the presence of interactions.

Purpose of the Study:

To develop a formalism for describing adiabatic quantum pumping in interacting quantum dots.
To investigate the effects of interactions, specifically inelastic scattering, on pumped current.
To analyze the robustness of quantized charge pumping in turnstile cycles.

Main Methods:

Utilizing a controlled adiabatic expansion to develop a perturbative formalism.
Analyzing the pumped current as a sum of a coherence term and interaction corrections.
Applying the formalism to a resonant level pump interacting with a bosonic bath.

Main Results:

The developed formalism successfully describes pumping in interacting systems.
The pumped current comprises a term analogous to Brouwer's formula and interaction-induced inelastic scattering corrections.
The study explores the impact of interaction with a bosonic bath on quantized charge pumping.

Conclusions:

The new formalism extends the understanding of quantum pumping beyond noninteracting limits.
Interaction effects, including inelastic scattering, play a crucial role in determining pumped charge.
Quantized charge pumping exhibits robustness against certain interaction types, but requires careful consideration.