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arXiv · 2403.10355

Optimising finite-time photon extraction from emitter-cavity systems

William J. Hughes·Joseph F. Goodwin·Peter Horak
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Abstract

We develop methods to find the limits to finite-time single photon extraction from emitter-cavity systems. We first establish analytic upper and lower bounds on the maximum extraction probability from a canonical $\Lambda$-system before developing a numeric method to optimise generic output probabilities from $\Lambda$-systems generalised to multiple ground states. We use these methods to study the limits to finite-time photon extraction and the wavepackets that satisfy them, finding that using an optimised wavepacket ranging between a sinusoidal and exponentially decaying profile can considerably reduce photon duration for a given extraction efficiency. We further optimise the rates of quantum protocols requiring emitter-photon correlation to obtain driving-independent conclusions about the effect of system parameters on success probability. We believe that these results and methods will provide valuable tools and insights for the development of cavity-based single photon sources combining high efficiency and high rate.

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William J. Hughes, Joseph F. Goodwin, Peter Horak. 2024-03-15. Optimising finite-time photon extraction from emitter-cavity systems. https://arxiv.org/abs/2403.10355

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