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Physical Review A

Collecting more than half the fluorescence photons from a single ion

Robert Maiwald, Andrea Golla, Martin Fischer, Marianne Bader, Simon Heugel, Bénoît Chalopin, Markus Sondermann, Gerd Leuchs

Published Oct 26, 2012• 75 citations
Publisher

Abstract

We demonstrate the trapping of a single ion in the focus of a deep parabolic mirror that covers 81$%$ of the solid angle surrounding the ion. Accounting for the reflectivity of the mirror we infer a photon collection efficiency of 54.8$%$ for our setup. The underlying experimentally detected maximum fluorescence rate is $1.91\ifmmode\times\else\texttimes\fi{}{10}^{6}$ s${}^{\ensuremath{-}1}$ from a single ${}^{174}$Yb${}^{+}$ ion, mainly limited by the quantum efficiency of our photon detector. Besides the high collection efficiency, the integration of an ion trap into a parabolic mirror is a key ingredient for efficient coupling of light to a single ion in free space.

DOI
10.1103/physreva.86.043431

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We demonstrate the trapping of a single ion in the focus of a deep parabolic mirror that covers 81% of the solid angle surrounding the ion. Accounting for the reflectivity of the mirror we infer a photon collection efficiency of 54.8% for our setup. The underlying experimentally detected maximum fluorescence rate is 1.91\ifmmode×\else\texttimes\fi1061.91\ifmmode\times\else\texttimes\fi{}{10}^{6}1.91\ifmmode×\else\texttimes\fi106 s\ensuremath−1{}^{\ensuremath{-}1}\ensuremath−1 from a single 174{}^{174}174Yb+{}^{+}+ ion, mainly limited by the quantum efficiency of our photon detector. Besides the high collection efficiency, the integration of an ion trap into a parabolic mirror is a key ingredient for efficient coupling of light to a single ion in free space.
Our research aims at the free-space interaction of a single ion with a surrounding light field. A particularly important ingredient is the illumination of the ion from almost the full solid angle. Conventional ion traps are not built with wide open optical access as their primary design goal and are thus restricting the solid angle accessible to incoming light. By combining a reflective optical element such as a parabolic mirror with a specially designed wide open ion trap we aim to overcome this limitation.
Efficient fluorescence collection is the most challenging part in remote entangled ion qubit state generation. To address this issue, we developed an ion trap consisting of a reflective parabolic surface and a needle electrode. This parabolic trap design covers a solid angle of 2π steradians and allows precise ion placement at the focal point of the parabola. We measured (39 ± 3)% fluorescence collection from a single ion with this trap and analyzed the mirror optical performance. We observed single ion image spot size of 3.4 times diffraction limit, improved to 2.8 times diffraction limit with the help of an external deformable mirror. The micromotion of the ion is determined to be the limiting factor, and the result is consistent with theoretical calculation.
Trapped, laser-cooled atoms and ions produce intense fluorescence of the order 107~108 photons per second. Detection of this fluorescence enables efficient measurement of the quantum state of qubits based on trapped atoms. It is desirable to collect a large fraction of the photons to make the detection faster and more reliable. Additionally, efficient fluorescence collection can improve the speed and fidelity of remote ion entanglement and quantum gates. Refractive and reflective optics, and optical cavities have all been used to collect the trapped ion fluorescence with up to about 10% efficiency. Here we show a novel ion trap design that incorporates a metallic spherical mirror as the integral part of the trap itself, being its RF electrode. The mirror geometry enables up to 35% solid angle collection of trapped ion fluorescence. The movable central pin electrode of this trap allows precise placement of the ion at the focus of the reflector. We characterize the performance of the mirror, and measure 25% collection efficiency, likely limited by the imperfections of the mirror surface. We also study the properties of the images of single ions formed by the spherical mirror and apply aberration correction with an aspherical element placed outside the vacuum system. Owing to the simplicity of its design, this trap structure can be adapted for microfabrication and integration into more complex trap architectures.
We report on the demonstration of a lightmatter interface coupling light to a single Yb-174(+) ion in free space. The interface is realized through a parabolic mirror partially surrounding the ion. It transforms a La-guerre- Gaussian beam into a linear dipole wave converging at the mirror's focus. By measuring the non-linear response of the atomic transition, we deduce the power required for reaching an upper-level population of 1/4 to be 692 +/- 20pW at half linewidth detuning from the atomic resonance. Performing this measurement while scanning the ion through the focus provides a map of the focal intensity distribution. From the measured power, we infer a coupling efficiency of 7.2 +/- 0.2% on the linear dipole transition when illuminating from half solid angle, being among the best coupling efficiencies reported for a single atom in free space.
Efficient collection of fluorescence from trapped ions is crucial for quantum optics and quantum computing applications, specifically for qubit state detection and in generating single photons for ion-photon and remote ion entanglement. In a typical setup, only a few percent of the ion fluorescence is intercepted by the aperture of the imaging optics. We employ a simple metallic spherical mirror integrated with a linear Paul ion trap to achieve a photon collection efficiency of at least 1010%10 from a single Ba+{}^{+}+ ion. An aspheric corrector is used to reduce the aberrations caused by the mirror and achieve high image quality.