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Highly integrated color center creation with cooled hydrogenated molecules irradiation

MetadataDetails
Publication Date2025-07-09
JournalEPJ Quantum Technology
AuthorsMasatomi Iizawa, Yasuhito Narita
AnalysisFull AI Review Included

This research proposes a novel ion implantation technique to achieve Angstrom-level positional accuracy for creating solid-state quantum devices, specifically focusing on overcoming limitations in current Paul trap methods.

  • Core Innovation: Replaces the complex and slow sympathetic cooling of dopant ions (e.g., N+) with direct laser cooling of hydrogenated molecular ions (XHn+/-, specifically NH+).
  • Precision Target: Aims for deterministic, one-by-one doping accuracy on the order of Angstroms (A), essential for integrating qubits into functional quantum circuits.
  • Efficiency Gain: Direct cooling eliminates the need for helper ions (like Ca+) and their subsequent removal mechanism, significantly shortening the cooling time required for high-throughput ion irradiation.
  • Contamination Control: Direct cooling allows the dopant ion position to be determined via its own fluorescence, resolving the ambiguity of distinguishing dopant “shadows” from contaminants inherent in sympathetic cooling.
  • Performance Improvement: Theoretical calculations estimate the direct cooling temperature for NH+ at 6.63 ”K, which is approximately 100 times colder than the temperature achieved for N+ via sympathetic cooling (estimated to be around 100 times higher than the 0.54 mK achieved for Ca+).
  • Output Emittance: The calculated 1σ radial displacement after the Paul trap for NH+ is 50.2 nm, which can be further reduced to the Angstrom order using conventional optics or microfabricated lensless traps.
ParameterValueUnitContext
Target Doping AccuracyAngstrom (A)N/ARequired for deterministic qubit integration.
NH+ Cooling Temperature (Theoretical)6.63”KAchieved via proposed direct laser cooling.
Ca+ Cooling Temperature (Reference)0.54mKDoppler limit for sympathetic cooling helper ion.
N2+ Cooling Temperature (Estimated)~54mKEstimated temperature achieved via sympathetic cooling (100x higher than Ca+).
NH+ Paul Trap Radial Radius (1σ)50.2nmCalculated output radius using standard trap parameters (r0 = 3 x 10-3 m).
Proposed Microtrap Radial Radius (1σ)5 x 10-10mAchieved by reducing trap distance (r0) to 3 x 10-4 m (Angstrom order output).
NH+ Cooling Laser Wavelength438.5nmVisible laser used for 2Π (Μ”=0) ↔ 2ÎŁ+ (Μ’=0) transition.
NH+ Excited State Lifetime384nsUsed in cooling feasibility calculation (Einstein A coefficient 0.821).
NH- Excited State Lifetime52.4nsUsed in cooling feasibility calculation (Franck-Condon factor 0.999).
Required Ion Output Rate0.1cpsMinimum rate needed for practical production (1 million qubits in 116 days).
Ion Acceleration Voltage50kV or higherRequired to implant ions deep enough to avoid surface effects.

The proposed methodology focuses on replacing sympathetic cooling with direct laser cooling of hydrogenated molecular ions (XHn+/-) within a Paul trap system.

  1. Molecular Ion Generation:

    • Obtain hydrogenated molecular ions (e.g., NH+) using established ion sources.
    • Electron Cyclotron Resonance Ion Sources (ECRIS) are suitable for positive ions.
    • Cesium sputter ion sources are suitable for negative ions.
  2. Ion Trapping and Crystallization:

    • Load the molecular ions into a Paul trap (or a microfabricated surface electrode trap).
    • The ions form a string-like Coulomb crystal.
  3. Direct Laser Cooling:

    • Apply a laser tuned to a specific electronic transition (e.g., 438.5 nm for NH+).
    • The molecule must meet strict criteria for laser cooling: large oscillator strength, high Einstein A coefficients (highly diagonalized Franck-Condon array), and no intervening electronic states.
    • Cool the ions directly to microkelvin temperatures (e.g., 6.63 ”K for NH+).
  4. Position Monitoring and Selection:

    • Determine the exact position of the dopant ion within the trap string by monitoring its induced fluorescence.
    • This eliminates the need for complex imaging and removal mechanisms required for sympathetic cooling helper ions.
  5. Extraction and Focusing:

    • Extract the single, ultra-low emittance ion from the trap.
    • Focus the beam using conventional optics (e.g., einzel lenses) or apertureless two-stage acceleration lenses.
    • Alternatively, use microfabrication (MEMS) to reduce the trap electrode distance (r0) to sub-millimeter scale, achieving Angstrom-level accuracy directly at the trap output (lensless system).
  6. High-Energy Implantation:

    • Accelerate the ion beam (often requiring high valence ions and high voltages, 50 kV or more) to ensure the point defect is created at a sufficient depth within the substrate (e.g., diamond) to avoid surface effects.

The technology is foundational for the next generation of solid-state quantum devices, requiring precise control over defect creation at the atomic scale.

  • Quantum Computing Hardware:
    • Deterministic fabrication of solid-state qubits, such as Nitrogen Vacancy (NV) centers in diamond, Group IV-V centers, and SiC-based devices.
    • Enables the integration and alignment of multiple qubits at nanometer or Angstrom intervals, necessary for scalable quantum processors.
  • Quantum Communication:
    • Creation of precisely aligned, long-lifetime entangled pairs of point defects for use in quantum networks.
  • Advanced Semiconductor Manufacturing:
    • Ultra-high precision ion implantation for defect engineering in advanced materials, allowing single-atom doping for novel electronic or photonic structures.
  • Ion Beam Technology:
    • Development of ultra-low emittance ion sources based on Paul traps, suitable for high-resolution microscopy and nanofabrication techniques.
  • Molecular Physics and Spectroscopy:
    • Practical demonstration and application of laser cooling techniques for complex molecular ions, advancing fundamental research in molecular quantum control.
View Original Abstract

Abstract Photoluminescent point defects, such as nitrogen vacancy (NV) color centers in diamond, have attracted much attention as solid-state qubits. In recent years, a method has been developed to dope ions one-by-one into a solid substrate with Ångström position accuracy using a Paul trap. However, the dopant atoms must be laser-cooled, and the atoms that are promising dopants for solid-state quantum devices, such as nitrogen, cannot be directly applied. In the previous studies, the cooling of the dopant ions has been achieved using a sympathetic cooling technique, in which the laser-cooled atoms are sandwiched, but this method has several problems such as the need for a mechanism to remove the laser-cooled atoms and the inability to distinguish between the dopant atoms and contaminations. We show that these problems can be overcome by directly cooling the hydrogenated ions instead of sympathetically cooling the ions, and the position accuracy can be improved.