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Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC)

Giant Optical Non-Linearity induced by a Single Quantum Dot in a Semiconducting Microcavity

A. Mosset, Mathieu Munsch, Alexia Auffèves, Christoph Simon, Jean‐Michel Gérard, J.-Ph. Poizat

Published Jun 1, 2007• 0 citations
Publisher

Abstract

Photonic information processing requires giant optical non-linearities to implement logic gates between photons and optical switches at the single photon level. A very promising non-linear medium is a "one dimensional atom", that is a directional high-finesse cavity containing a resonant two-level system in the Purcell regime. We aim at experimentally demonstrating this effect using a single quantum dot in a symmetric micropillar, the directionality of the micropillar ensuring the one-dimensionality of the problem.

DOI
10.1109/cleoe-iqec.2007.4386935

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Photonic information processing requires giant optical non-linearities to implement logic gates between photons and optical switches at the single photon level. A very promising non-linear medium is a "one dimensional atom", that is a directional high-finesse cavity containing a resonant two-level system in the Purcell regime. We aim at experimentally demonstrating this effect using a single quantum dot in a symmetric micropillar, the directionality of the micropillar ensuring the one-dimensionality of the problem.
A two-level system that is coupled to a high-finesse cavity in the Purcell regime exhibits a giant optical nonlinearity due to the saturation of the two-level system at very low intensities, of the order of one photon per lifetime. We perform a detailed analysis of this effect, taking into account the most important practical imperfections. Our conclusion is that an experimental demonstration of the giant nonlinearity is feasible using semiconductor micropillar cavities containing a single quantum dot in resonance with the cavity mode.
A single two-level system constitutes an extremely non-linear optical medium, where the interaction with a first single photon modifies the transmission probability for a second photon. The main difficulty to implement a single photon switch using this property is to ensure that a gate single photon will interact with the quantum emitter with a near-unity probability. In the solid state, all-optical switching has been demonstrated using photonic crystals or microdisks coupled to quantum dots, but these systems were not well externally matched: hundreds of incident photons were thus required to trigger the optical nonlinearity.
A single semiconductor quantum dot that is strongly coupled to a photonic crystal nanocavity yields optical nonlinearities at the single photon level. The promise of quantum information processing is driving developments in several different physical implementations. Photons are attractive as carriers of quantum information be-cause they can travel long distances without losing their infor-mation through interactions with their environment. However, their passive nature can be a problem in applications such as the construction of logic gates, where it is necessary for two or more photons to interact. This interaction requires a nonlinear optical medium. Particularly strong nonlinearities are achieved when photons drive an emitter near its resonance frequency, and this nonlinearity is even greater if the photon is confined near the emitter in an optical cavity.
Strong non-linear interactions between photons enable logic operations for both classical and quantum-information technology. Unfortunately, non-linear interactions are usually feeble and therefore all-optical logic gates tend to be inefficient. A quantum emitter deterministically coupled to a propagating mode fundamentally changes the situation, since each photon inevitably interacts with the emitter, and highly correlated many-photon states may be created. Here we show that a single quantum dot in a photonic-crystal waveguide can be used as a giant non-linearity sensitive at the single-photon level. The non-linear response is revealed from the intensity and quantum statistics of the scattered photons, and contains contributions from an entangled photon-photon bound state. The quantum non-linearity will find immediate applications for deterministic Bell-state measurements and single-photon transistors and paves the way to scalable waveguide-based photonic quantum-computing architectures.