Generation of entangled photon-pairs from a single quantum dot embedded in a planar photonic-crystal cavity

Abstract

We present a formal theory of single quantum-dot coupling to a planar photonic crystal that supports quasi-degenerate cavity modes, and use this theory to describe, and optimize, entangled-photon-pair generation via the biexciton-exciton cascade. In the generated photon pairs, either both photons are spontaneously emitted from the dot, or one photon is emitted from the biexciton spontaneously and the other is emitted via the leaky-cavity mode. In the strong-coupling regime, the generated photon pairs can be maximally entangled, in qualitative agreement with the simple dressed-state predictions of Johne {\em et al.} [Phys. Rev. Lett. vol. 100, 240404 (2008)]. We derive useful and physically-intuitive analytical formulas for the spectrum of the emitted photon pairs in the presence of exciton and biexciton broadening, which is necessary to connect to experiments, and demonstrate the clear failure of using a dressed-state approach. We also present a method for calculating and optimizing the entanglement between the emitted photons, which can account for post-sample spectral filtering. Pronounced entanglement values of greater than 80% are demonstrated using experimentally achievable parameters, even without spectral filtering.

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• Entangled photons on demand: Erasing which-path information with sidebands
• Entanglement in Resonance Fluorescence
• Dipole-Coupled Defect Pairs as Deterministic Entangled Photon Pair Sources
• Highly efficient two photon generation from a coherently pumped quantum dot embedded in a microcavity
• Mechanistic Understanding of Entanglement and Heralding in Cascade Emitters
• Highly entangled-photon pairs generated from the biexciton cascade transition in a quantum dot-metal nanoparticle hybrid system
• Polarization-entangled photon generation by a semiconductor quantum dot coupled to a cavity interacting with external fields