Optimizing H1 cavities for the generation of entangled photon pairs
Matthieu Larqu\'e (LPN), Timothy Karle (LPN), Isabelle Robert-Philip, (LPN), Alexios Beveratos (LPN)

TL;DR
This paper theoretically optimizes H1 photonic crystal cavities on suspended membranes to enhance the generation and collection of polarization-entangled photon pairs from quantum dots, improving efficiency and polarization independence.
Contribution
It introduces optimized H1 cavity designs that achieve high collection efficiency and polarization independence while maintaining high Purcell factors for entangled photon sources.
Findings
Standard cavity designs have polarization-dependent emission.
Optimized H1 cavities improve collection efficiency.
Optimized cavities maintain high Purcell factors.
Abstract
We report on the theoretical investigation of photonic crystal cavities etched on a suspended membrane for the generation of polarization entangled photon pairs using the biexciton cascade in a single quantum dot. The implementation of spontaneous emission enhancement effect increases the entanglement visibility, while the concomitant preferential funneling of the emission in the cavity mode increases the collection of both entangled photons. We demonstrate and quantify that standard cavity designs present a polarization dependent emission diagram, detrimental to entanglement. The optimization of H1 cavities allows to obtain both high collection efficiencies and polarization independent emission, while keeping high Purcell factors necessary for high quality entangled photon sources.
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