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Imaging Trapped Ion Structures via Fluorescence Cross-Correlation Detection.

Stefan Richter1,2, Sebastian Wolf3, Joachim von Zanthier1,2

  • 1Institut für Optik, Information und Photonik, Friedrich-Alexander Universität Erlangen-Nürnberg, Staudtstraße 1, 91058 Erlangen, Germany.

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Summary
This summary is machine-generated.

Researchers used fluorescence photon cross-correlation to measure trapped ion distances and alignment. This novel method accurately determines ion structure, even when direct imaging is not possible.

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Area of Science:

  • Quantum optics
  • Atomic physics
  • Nanophotonics

Background:

  • Trapped ions are crucial for quantum computing and simulation.
  • Precisely determining ion positions and alignment is essential for controlling quantum states.
  • Direct imaging of ion structures can be challenging, especially for complex arrangements.

Purpose of the Study:

  • To develop a novel method for measuring the spatial frequency and alignment of trapped ions using fluorescence photon cross-correlation.
  • To demonstrate the accuracy and scalability of this technique for systems with two and three ions.
  • To provide a tool for structural analysis where direct imaging fails.

Main Methods:

  • Recording cross-correlation signals from fluorescence photons scattered off trapped ions.
  • Analyzing the spatial frequency from the cross-correlation data.
  • Validating the results by comparing with independent measurements and extending to three-ion systems.

Main Results:

  • Successfully measured the spatial frequency of two trapped ions as 1490 ± 2_stat ± 8_syst rad⁻¹.
  • Demonstrated that statistical uncertainty improves with the number of correlation events (N⁻0.51±0.06).
  • Achieved excellent agreement with an independently determined spatial frequency of 1494 ± 11 rad⁻¹.
  • Extended the method to three ions, showing its applicability to 2D arrays.

Conclusions:

  • Fluorescence photon cross-correlation is a robust method for determining trapped ion structure.
  • The technique provides unambiguous spatial information, including distance and alignment.
  • This method is valuable for analyzing complex ion arrangements and serves as a model for indistinguishable photon emitter systems.