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A Rydberg Atom Blockade Based Single Photon Source

James P. Shaffer

Published Aug 19, 2018• 0 citations
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Interactions between Rydberg atoms can result in a dipole blockade for which the probability ${P}_{n}$ to have $n$ atomic excitations is reduced significantly when $n\ensuremath{\ge}2$. Ideally, this allows one to create a single collective Rydberg excitation in an atomic ensemble with ${P}_{1}=1$. A single-photon source is realized by mapping this atomic excitation into a propagating light field. Even if ${P}_{n}\ensuremath{\ne}0$ for $n\ensuremath{\ge}2$, a single-photon source can be approximated if interaction-induced dephasing damps the contributions from multiply excited collective states into the preferred spatial field mode. Two quantities that can be used as figures of merit for these single-photon sources are the second-order correlation function ${g}^{(2)}$ associated with the phase-matched field emitted by the sample and the second-order correlation function ${g}^{(A)}$ associated with the atoms. Here we demonstrate that interaction-induced dephasing can lead to significant differences between ${g}^{(2)}$ and ${g}^{(A)}$ even if ${P}_{2}\ensuremath{\ll}{P}_{1}\ensuremath{\approx}1$. Theoretical expressions are derived for these quantities and it is shown that ${g}^{(2)}\ensuremath{\le}{g}^{(A)}$. It is also shown that there is a distinct advantage for minimizing ${g}^{(2)}\phantom{\rule{4pt}{0ex}}$ and ${g}^{(A)}$ by using adiabatic pulsed fields rather than constant amplitude fields to excite the ensemble. These results maybe useful for optimizing Rydberg single-photon sources.

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arXiv:1806.07094•Physical Review Letters•Sep 20, 2018•33 citations
Interactions between Rydberg atoms can result in a dipole blockade for which the probability Pn{P}_{n}Pn​ to have nnn atomic excitations is reduced significantly when $n\ensuremath{\ge}2$. Ideally, this allows one to create a single collective Rydberg excitation in an atomic ensemble with P1=1{P}_{1}=1P1​=1. A single-photon source is realized by mapping this atomic excitation into a propagating light field. Even if ${P}_{n}\ensuremath{\ne}0$ for $n\ensuremath{\ge}2$, a single-photon source can be approximated if interaction-induced dephasing damps the contributions from multiply excited collective states into the preferred spatial field mode. Two quantities that can be used as figures of merit for these single-photon sources are the second-order correlation function g(2){g}^{(2)}g(2) associated with the phase-matched field emitted by the sample and the second-order correlation function g(A){g}^{(A)}g(A) associated with the atoms. Here we demonstrate that interaction-induced dephasing can lead to significant differences between g(2){g}^{(2)}g(2) and g(A){g}^{(A)}g(A) even if ${P}_{2}\ensuremath{\ll}{P}_{1}\ensuremath{\approx}1$. Theoretical expressions are derived for these quantities and it is shown that ${g}^{(2)}\ensuremath{\le}{g}^{(A)}$. It is also shown that there is a distinct advantage for minimizing g(2){g}^{(2)}\phantom{\rule{4pt}{0ex}}g(2) and g(A){g}^{(A)}g(A) by using adiabatic pulsed fields rather than constant amplitude fields to excite the ensemble. These results maybe useful for optimizing Rydberg single-photon sources.
We propose an efficient free-space scheme to create single photons in a well-defined spatiotemporal mode. To that end, we first prepare a single source atom in an excited Rydberg state. The source atom interacts with a large ensemble of ground-state atoms via a laser-mediated dipole-dipole exchange interaction. Using an adiabatic passage with a chirped laser pulse, we produce a spatially extended spin wave of a single Rydberg excitation in the ensemble, accompanied by the transition of the source atom to another Rydberg state. The collective atomic excitation can then be converted to a propagating optical photon via a coherent coupling field. In contrast to previous approaches, our single-photon source does not rely on the strong coupling of a single emitter to a resonant cavity, nor does it require the heralding of collective excitation or complete Rydberg blockade of multiple excitations in the atomic ensemble.