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arXiv:1010.1713

Generation of time-bin entangled photon pairs using a quantum-dot cavity system

Pradyumna K. Pathak, Stephen Hughes

Published Oct 8, 2010• 0 citations
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Abstract

We present a scheme to realize a deterministic solid state source of time-bin entangled photon pairs using cavity-assisted stimulated Raman adiabatic passage (STIRAP) in a single quantum dot. The quantum dot is embedded inside a semiconductor cavity, and the interaction of a coherent superposition of two temporally separated input pulses and the cavity mode leads to a two-photon Raman transition, which produces a time-bin entangled photon pair through the biexciton-exciton cascade. We show that the entanglement of the generated state can be measured using triple coincidence detection, and the degree of entanglement is quantified as the visibility of the interference. We also discuss the effect of pure dephasing on entanglement of the generated photon pair. Pronounced interference visibility values of greater than $1/\sqrt{2}$ are demonstrated in triple coincidence measurement using experimentally achievable parameters, thus demonstrating that the generated photons are suitable for applications with Bell's inequality violation and quantum cryptography.

DOI
10.48550/arxiv.1010.1713

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We present a scheme to realize a deterministic solid-state source of time-bin entangled photon pairs using cavity-assisted piecewise adiabatic passage in a single quantum dot. The quantum dot is embedded inside a semiconductor microcavity, and the interaction of a coherent superposition of two temporally separated input pulses and the cavity mode leads to a piecewise adiabatic passage, which produces a time-bin entangled photon pair through the biexciton-exciton cascade. We show that the entanglement of the generated state can be measured using triple coincidence detection, and we quantify the degree of entanglement through the visibility of the interference. We also discuss the influence of pure dephasing on the entanglement of the generated photon pair. Pronounced interference visibility values of greater than 1/21/\sqrt{2}1/2​ are predicted in triple coincidence measurement using experimentally achievable parameters, demonstrating that the generated photons could be suitable for applications such as Bell's inequality violation and quantum cryptography.
We present a scheme to realize a highly efficient solid state source of indistinguishable single photons using cavity-assisted stimulated adiabatic Raman passage in a single quantum dot. The Autler-Townes doublet, generated by using a resonant driving field between biexciton and exciton states is utilized to facilitate a two-photon Raman transition in the quantum dot. An optical field transient then coherently generates a single photon pulse, whose polarization is orthogonal to the polarization of the applied fields and can thus be filtered efficiently from the scattered fields. The triggered generated single photons have greater than 90% efficiency and more than 90% quantum indistinguishability using currently available experimental parameters.
A deterministic "on demand" source of single photons is a basic building block for linear quantum computation \cite{linear}, quantum cryptography \cite{crypto}, quantum teleportation \cite{teleport}, and quantum networks \cite{network}. In all these applications, quantum interference between two single-photon pulses on a symmetric beam splitter has been exploited \cite{review}, which imposes stringent requirement for the implemented single photons to be indistinguishable in all degrees of freedom, including their frequencies, spectral widths, pulse shapes, and polarizations. To generate single photons one requires a pumping mechanism to excite a "two-level emitter" and an efficient channeling of the subsequently emitted photons. The efficiency of the source can be enhanced by coupling the emitter to the waveguide \cite{manga} or a microcavity mode \cite{cklaw}. However, hitherto the solid-state single photon sources realized by using a quantum dot coupled with a microcavity rely on incoherent pumping of excitons, which leads to problems with timing jitter \cite{kiraz}, leading to a trade off between efficiency and indistinguishability. Here we introduce a means to realize a highly efficient solid state source of indistinguishable single photons using cavity-assisted adiabatic Raman passage in a single quantum dot - cavity system. We demonstrate pulse-triggered single photons with 100% efficiency and >90>90>90% indistinguishability using currently available experimental parameters.
We present a scheme for the fast cavity-assisted generation of entangled photon pairs from a single quantum dot coupled to a planar photonic crystal that support two orthogonally polarized cavity modes. We discuss ``within generation'' and ``across generation'' of entangled photons when both the biexciton to exciton, and the exciton to ground-state transitions, are coupled through cavity modes. In the across generation, the photon entanglement is restored through a time delay between the photons. The concurrence, which is a measure of the entanglement between two photons, is greater than 0.7 and 0.8 using experimentally achievable parameters in across generation and within generation, respectively. We also show that the entanglement can be distilled in both cases using a simple spectral filter.
We propose two schemes to realize a highly efficient solid-state source of photon pairs using four-wave mixing and stimulated Raman adiabatic passage in a single quantum dot embedded in a microcavity. A resonant continuous-wave laser applied between biexciton and exciton states and a pulsed laser applied between a ground state and exciton state are utilized to facilitate coherent pumping. We show in the case of four-wave mixing that, although the probability of generating two photons in a cavity mode is small without cavity damping, two-photon-resonant emission is enhanced by cavity damping within the strong-coupling regime. For strong continuous-wave laser, a single photon from a pulsed laser and two-photon-resonant transition through a strongly coupled cavity mode lead to a (1+2)-type Raman transition through the generated Autler-Townes doublet. We also discuss the spectrum of the generated photon pair and the photon-photon correlations in the generated photon pair.
We present a scheme for the fast generation of entangled photons from a single quantum dot coupled to a planar photonic crystal that support two orthogonally polarized cavity modes. We discuss ``within generation'' and ``across generation'' of entangled photons when both biexciton to exciton, and exciton to ground state transitions, are coupled through cavity modes. In the across generation, the photon entanglement is restored through a time delay between the photons. The two photon concurrence, which is a measure of entanglement, is greater than 0.7 and 0.8 using experimentally achievable parameters in across generation and within generation, respectively. We also show that the entanglement can be distilled in both cases using a simple spectral filter.