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arXiv:1207.6660 · Acta Physica Polonica A

Phonon Effects on Population Inversion in Quantum Dots: Resonant, Detuned and Frequency-Swept Excitations

Doris E. Reiter, Sebastian Lüker, Krzysztof Gawarecki, Anna Grodecka-Grad, Paweł Machnikowski, V. M. Axt, T. Kühn

Published Dec 1, 2012• 29 citations
arXivHTMLPDF

Abstract

The eect of acoustic phonons on dierent light-induced excitations of a semiconductor quantum dot is investigated.Resonant excitation of the quantum dot leads to the Rabi oscillations, which are damped due to the phonon interaction.When the excitation frequency is detuned, an occupation can only occur due to phonon absorption or emission processes.For frequency-swept excitations a population inversion is achieved through adiabatic rapid passage, but the inversion is also damped by phonons.For all three scenarios the inuence of the phonons depends non-monotonically on the pulse area.

DOI
10.12693/aphyspola.122.1065

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The eect of acoustic phonons on dierent light-induced excitations of a semiconductor quantum dot is investigated.Resonant excitation of the quantum dot leads to the Rabi oscillations, which are damped due to the phonon interaction.When the excitation frequency is detuned, an occupation can only occur due to phonon absorption or emission processes.For frequency-swept excitations a population inversion is achieved through adiabatic rapid passage, but the inversion is also damped by phonons.For all three scenarios the inuence of the phonons depends non-monotonically on the pulse area.
The role of phonons for adiabatic rapid passage in semiconductor quantum dots is studied theoretically. While in an ideal system adiabatic rapid passage results in a full inversion of the quantum dot occupation, phonons hamper this behavior drastically. We show that the transitions between the adiabatic states lead to a temperature-dependent decrease of the final exciton occupation. In contrast to the ideal evolution, the phonon-related perturbation induces dependencies on the pulse power and on the sign of the chirp.
Theoretical investigations for the realization of population inversion of semiconductor quantum dot ground-state transitions by means of adiabatic passage with chirped optical pulses are presented. While the inversion due to Rabi oscillations depends sensitively on the resonance condition, the pulse area, as well as on the absence of carrier scattering and dephasing, we find that adiabatic passage is surprisingly insensitive to the excitation conditions and carrier scattering effects. Quantum kinetic models for the interaction of quantum-dot carriers with longitudinal optical phonons are used to describe carrier scattering and dephasing in the corresponding simulations and allow to quantify the conditions to simultaneously invert an ensamble of quantum dots.
A microscopic theory to study the combined dynamics of a quantum dot exciton coupled to a single cavity mode as well as acoustic phonons is presented. By considering the phonon subsystem in the coherent state representation, the phonon’s impact on the emitted photons is investigated. The single photon emission probability and phonon effects on this quantity are studied. On the other hand, we illustrate that while a quantum dot interacts with a single cavity mode, the collapse and revival phenomenon will occur. It is demonstrated that acoustic phonons have a pronounced impact on the collapse and revival of the quantum dot exciton. Our finding reveals that at elevated temperatures the phonon interaction decreases the Rabi frequency. Moreover, the cavity mode possesses non-classical features such as sub-Poissonian statistics.
The energy states in semiconductor quantum dots are discrete as in atoms, and quantum states can be coherently controlled with resonant laser pulses. Long coherence times allow the observation of Rabi flopping of a single dipole transition in a solid state device, for which occupancy of the upper state depends sensitively on the dipole moment and the excitation laser power. We report on the robust population inversion in a single quantum dot using an optical technique that exploits rapid adiabatic passage from the ground to an excited state through excitation with laser pulses whose frequency is swept through the resonance. This observation in photoluminescence experiments is made possible by introducing a novel optical detection scheme for the resonant electron hole pair (exciton) generation.