Establishment of correlated states in a quantum dot interacting with an acoustic-phonon reservoir

Hui Huang, Gao-xiang Li, Wen-ju Gu, and Zbigniew Ficek
Phys. Rev. A 90, 023815 – Published 11 August 2014

Abstract

We investigate the effects of a low-frequency (acoustic) phonon bath on the dynamics of a quantum dot modeled as a cascade three-level system. We show that the phonon bath appears to the upper transition of the cascade system as a broadband reservoir of inverted rather than conventional harmonic oscillators. The action of the annihilation and creation operators of the inverted oscillator are interchanges relative to those of the usual harmonic oscillator that it serves as a linear amplifier to the system, and thereby gives rise to unusual features in the dynamics of the quantum dot. We find that the phonon bath, although being in a thermal state, affects the quantum dot as a correlated-type reservoir which results in the decay of the system to a correlated two-photon state with the population distribution no longer obeying a Boltzmann distribution. It is particularly interesting that even for a zero-temperature phonon reservoir, the steady state is a correlated state which, under appropriate conditions on the Rabi frequencies and the damping rates, can reduce to a strongly correlated pure state. It is shown that the two-photon correlations result in a significant squeezing and strong two-photon correlations in the radiation field emitted by the quantum dot. The presence of the correlations in the system is manifest in the presence of quantum beats in the time evolution of the populations and the radiation intensity. The effect of the ordinary spontaneous emission on the features induced by the phonon bath is also discussed.

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  • Received 29 March 2014

DOI:https://doi.org/10.1103/PhysRevA.90.023815

©2014 American Physical Society

Authors & Affiliations

Hui Huang1, Gao-xiang Li1,*, Wen-ju Gu1, and Zbigniew Ficek2

  • 1Department of Physics, Huazhong Normal University, Wuhan 430079, People's Republic of China
  • 2The National Center for Mathematics and Physics, KACST, P.O. Box 6086, Riyadh 11442, Saudi Arabia

  • *gaox@phy.ccnu.edu.cn

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Vol. 90, Iss. 2 — August 2014

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