The DOI matches its Crossref record; the references it cites are not checked yet.
Phase-sensitive measurement of trapped particle motions
Open accessAbstract
We have developed and applied a novel method for the precise determination of small frequency differences of particle motions inside a Penning trap. In the present case, the frequency differences on the order of 100 mHz at motional frequencies on the order of 1 MHz are used to determine the spin state of an electron bound in a hydrogen-like ion. This novel technique measures the integrated phase difference of the particles' motions relative to an excitation with a well-defined phase. Thereby, the Fourier-limit for frequency measurements based on Fourier-analyses of detection signals can be overcome.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
For the measurement of the (anti)proton's magnetic moment, a toroidal hybrid trap has been manufactured with B2 approximately 400 mTmm^-2, resulting in a frequency shift of about 200 mHz for a single (anti)proton at approximately 700 kHz axial frequency, thus enabling non-destructive detection of the (anti)proton's spin state.
“For our measurement of the (anti)proton's magnetic moment, we have manufactured a toroidal hybrid trap with B 2 ∼ 400 mTmm -2 , resulting in a frequency shift of about 200 mHz for a single (anti)proton at ∼ 700 kHz axial frequency, thus enabling the non-destructive detection of the (anti)proton's spin state [28].”
From Calculation of electrostatic fields using quasi-Green's functions: application to the hybrid Penning trap (2008) · cites this paper as [28]
Split into 2 atoms — 0 confirmed, 1 partially supported, 1 disputed, 0 misattributed, 0 unverifiable. Expand the claim to see per-atom verdicts.
Checked by a reasoning model — may be wrong.
Experimental — accuracy not yet measuredσ(∆φ) represents the minimum axial phase-difference required to distinguish between the particle at n_p=0 (ω_z=ω_0z) from the state n_p=1 (ω_z=ω_0z+∆ω_z).
“In Equation ( 20) σ(∆φ) represents the minimum axial phase-difference required to distinguish between the particle at n p = 0 (i.e., with ω z = ω 0 z ) from the state n p = 1 (i.e., with ω z = ω 0 z + ∆ω z ) [26].”
From Single Microwave Photon Detection with a Trapped Electron (2016) · cites this paper as [26]
Section 3 defines σ(φ) as the uncertainty in determining a phase difference and demonstrates that a phase difference can distinguish two axial frequencies. It does not define σ(φ) as the minimum difference needed to distinguish states n_p=0 and n_p=1, or discuss those states; its example concerns simulated electron spin states. Page numbers are unavailable in our copy. (LLM, conf=0.84)
Experimental — accuracy not yet measuredIn the early experiments of [26], quantum jumps of 100 mHz were determined in 800 ms, with σ(∆φ)=45°.
“In the early experiments of [26] quantum jumps of 100 mHz were determined in 800 ms, with σ(∆φ) = 45 • .”
From Single Microwave Photon Detection with a Trapped Electron (2016) · cites this paper as [26]
The Conclusion reports detecting a frequency difference around 100 mHz in about 0.8 s per data point. But Section 3 says the spin-state changes were simulated, not observed quantum jumps, and identifies approximately 45° as the separation between the measured phases, not the uncertainty σ(∆φ). (LLM, conf=0.90)
Experimental — accuracy not yet measuredThe enhanced curvature of the magnetic bottle from the toroidal ferromagnetic ring makes the resolution of the phase-sensitive Stern-Gerlach quantum jump spectrometer big enough for efficient determination of the spin state of a single (anti)proton.
“therefore making the resolution of the phase-sensitive Stern-Gerlach quantum jump spectrometer [28] big enough for the efficient determination of the spin state of a single (anti)proton.”
From Calculation of electrostatic fields using quasi-Green's functions: application to the hybrid Penning trap (2008) · cites this paper as [28]
Frequency variations ∆ωz can be determined substantially faster than a full 5 s measurement by recording the phase evolution of the axial motion without waiting for a full 2π oscillation.
“However, frequency variations ∆ω z can be determined substantially faster, by recording the phase evolution of the axial motion but without waiting for a full 2π oscillation [26].”
From Single Microwave Photon Detection with a Trapped Electron (2016) · cites this paper as [26]
The measurement of the ion's motional phase, first developed in [26], allows for resolving ∆ω_z rapidly, much faster than the full measurement of ω_z.
“The measurement of the ion's motional phase, first developed in [26], allows for resolving ∆ω z rapidly, much faster than the full measurement of ω z .”
From Single Microwave Photon Detection with a Trapped Electron (2016) · cites this paper as [26]
The measurement time is given by τ_m = σ(∆φ)/∆ω_z.
“As explained in [26], the measurement time is given by the following simple expression: τ m = σ(∆φ) ∆ω z(20)”
From Single Microwave Photon Detection with a Trapped Electron (2016) · cites this paper as [26]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
The citation lists haven’t been fetched yet
References 11 · Cited by 38
Research works printed but not linked: 2
- Dehmelt H G, 1983, Bull. Am. Phys. Soc., 18, 727
- Vogel M, Nucl. Instrum. Methods
Metadata
- Authors
- Stahl, S., Alonso, J., Djekic, S., Kluge, H.-J., Quint, W., Verdu, J., Vogel, M., & Werth, G.
- Affiliations
- Johannes Gutenberg University Mainz (DE)
- GSI Helmholtz Centre for Heavy Ion Research (DE)
- Venue
- Journal of Physics B: Atomic, Molecular and Optical Physics
- Publisher
- IOP Publishing
- Published
- 2005-01-25
- Volume
- 38
- Issue
- 3
- Pages
- 297-304
- ISSN
- 0953-4075 (ISSN-L)
- 1361-6455
- OpenAlex
- W2028061529
- Cited by
- 38
- References
- 11
- Citations by year
- 2025: 2 · 2024: 2 · 2021: 1 · 2020: 1 · 2018: 2 · 2016: 1 · 2015: 1 · 2014: 3 · 2013: 2 · 2012: 1
- FWCI
- 1.84
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of Physics B Atomic Molecular and Optical Physics (publishedVersion)
- Funders
- Deutsche Forschungsgemeinschaft (HPRI-CT-2001-50036)
- Bundesministerium für Bildung und Forschung (HPRI-CT-2001-50036)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Atomic and Molecular Physics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- phase-sensitive measurement, Penning trap, frequency difference measurement, electron spin states, hydrogen-like ions, phase difference, ion cyclotron resonance
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
