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

Abstract

We investigate the effects of a low frequency (acoustic) phonon bath on the dynamics of a quantum dot modelled 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.

published version

References in corpus (7)

• Quantum dot Rabi rotations beyond the weak exciton-phonon coupling regime
• Proposed robust and high-fidelity preparation of excitons and biexcitons in semiconductor quantum dots making active use of phonons
• Squeezing of a movable mirror via the dissipative optomechanical coupling
• Excitation-induced dephasing in a resonantly driven InAs/GaAs quantum dot
• Biexciton state preparation in a quantum dot via adiabatic rapid passage: comparison between two control protocols and impact of phonon-induced dephasing
• Optimal Squeezing in the Resonance Fluorescence of Single Photon Emitters
• Collective Quantum Dot Inversion and Amplification of Photon and Phonon Waves

Cited by in corpus (4)

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• Engineering a squeezed phonon reservoir with a bichromatic driving of a quantum dot
• Entanglement of a laser driven pair of two-level qubits via its phonon environment
• Nondegenerate two-photon lasing in a single quantum dot