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Investigations of Optical Coherence Properties in an Erbium-doped Silicate Fiber for Quantum State Storage

Quantum Physics · Submitted 22 Mar 2006 · 42 references

Pith's verdict: This is a careful, honest experimental study whose main claims—record 3.8 µs coherence in Er:silica fiber, 27Al superhyperfine structure, spectral-diffusion quantification—survive a skeptical read, with a modest caveat about the 2PE fitting window.

T0 · AI review

How this review was made: An AI referee (deepseek-v4-flash) read the paper on August 28, 2026 and answered a fixed list of questions about it. T0 is the starting level every paper gets. The levels describe how deeply Pith has checked the paper, never the authors.

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  4. T3 Formal statement The claims written out in a formal math language a computer can read.
  5. T4 Proof Those claims proved, and the proof checked by computer.

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arXiv IDquant-ph/0603192 (version 1)
Pith IDOBWWCXGK, Pith's permanent record of this paper and its review
CitationDidier Jaccard, Matthias U. Staudt, Mikael Afzelius, Nicolas Gisin, Sara R. Hastings-Simon, Wolfgang Tittel. "Investigations of Optical Coherence Properties in an Erbium-doped Silicate Fiber for Quantum State Storage." arXiv:quant-ph/0603192 (2006). https://pith.science/paper/OBWWCXGK
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Referee report
The paper

The paper claims

At 150 mK and 2.2 T, an erbium-doped silicate fiber retains optical coherence for 3.8 microseconds, the longest yet reported in such fibers, supporting its use in telecom-wavelength CRIB quantum memories.

The reading

This paper sets out to establish that erbium-doped silicate optical fibers, despite being disordered glassy hosts, can hold an optical coherence long enough for quantum state storage when cooled below one kelvin and placed in a magnetic field. It reports a coherence time of up to 3.8 microseconds at 150 mK and 2.2 T, the longest measured in such a fiber, and shows that applying the magnetic field narrows the homogeneous linewidth by roughly a factor of four. The paper attributes the field-dependent dephasing to coupling between the erbium electronic spin and magnetic tunneling modes intrinsic to the glass, and it separately identifies a superhyperfine structure caused by neighboring aluminum-27 nuclei. If these results hold, optical fibers become a realistic platform for CRIB-based quantum memories operating at the 1.53 micrometer telecommunication wavelength.

What carries the argument

The central object is the optical coherence time T2 of the Er3+ transition, extracted from two-pulse photon echo decay as T2 = 4τ, where τ is the exponential decay constant of echo intensity versus the pulse separation t12. This is complemented by spectral hole burning, which measures the homogeneous linewidth Γh = 1/(πT2), and by three-pulse photon echoes, which track spectral diffusion. The argument for the magnetic-field effect rests on a phenomenological activation law Γh(B,T) = Γ0_TLS(T) + Γ1_TLS exp(−g_eff β B/kT), where β is the Bohr magneton and g_eff is an effective g-factor; fitting this to the linewidth data yields g_eff ≈ 5. The superhyperfine identification relies on the linear-field splitting of side holes, 12.3 ± 0.8 MHz/T, close to the 27Al nuclear gyromagnetic ratio of 11.1 MHz/T, and on the matching 10.6 ± 0.1 MHz/T modulation frequency observed in photon echo decays.

Extended reading notes

Core claim

The paper claims that the 4I15/2 to 4I13/2 optical transition of Er3+ in a silicate fiber can retain coherence for up to 3.8 microseconds at 150 mK and 2.2 T, the longest coherence time yet reported in an erbium-doped silicate fiber. It shows that a magnetic field of roughly one tesla or more strongly suppresses the optical dephasing, beyond what standard two-level-system models predict, and interprets this as evidence for coupling between the erbium electronic spin and magnetic tunneling modes in the glass. The paper also reports, for the first time in fibers, superhyperfine side holes in the hole-burning spectrum that it assigns to interaction with nearby 27Al nuclei, with a splitting of about 12.3 MHz/T. Together with the previously demonstrated controlled broadening of a transient spectral hole and the ability to reach large optical depths through long fiber lengths, the paper concludes that erbium-doped silicate fibers are promising for proof-of-principle CRIB quantum memories.

Load-bearing premise

The quoted coherence times assume that after the first 200 nanoseconds of the two-pulse echo decay the echo intensity follows a clean single exponential, with no leftover modulation or slow spectral diffusion contaminating the fit.

Editorial extensions

If this is right

  • An erbium-doped silicate fiber could serve as the storage medium for a CRIB quantum memory at the telecommunication wavelength of 1532 nm, because long interaction lengths compensate for low doping concentrations.
  • The 3.8 microsecond optical coherence time is long enough to transfer absorbed photonic coherences into ground-state superpositions, extending storage beyond the optical coherence time.
  • The magnetic field both narrows the line and separates superhyperfine levels, enabling preparation of a single homogeneous absorption line on a non-absorbing background, a prerequisite for CRIB.
  • The superhyperfine structure from 27Al sets a bandwidth ceiling; replacing the aluminum co-dopant or using a pure Er3+ core could widen the usable storage bandwidth.
  • The large difference between hole-burning and two-pulse echo linewidths, attributed to spin diffusion on a microsecond timescale, means any memory protocol must account for time-dependent broadening.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • If the magnetic-tunneling-mode explanation is correct, changing the concentration or species of co-dopants should systematically shift the effective g-factor and the saturated linewidth; this is testable by comparing otherwise identical fibers doped with aluminum versus lanthanum.
  • The observed superhyperfine splitting of about 12 MHz/T implies a storage bandwidth of only tens of megahertz in the current fiber; a fiber without 27Al co-doping could remove that ceiling and deserves direct coherence measurements.
  • Because spectral diffusion sets in with a fitted rate near 0.026 microseconds inverse, a CRIB sequence in this material should complete its write-read cycle faster than that timescale to avoid extra decoherence.
  • The 3.8 microsecond value is likely not a fundamental limit; lower temperatures or a host with weaker magnetic tunneling-mode coupling could extend the coherence further, provided the field-dependent dephasing continues to freeze out.
Original abstract

We studied optical coherence properties of the 1.53 $\mu$m telecommunication transition in an Er$^{3+}$-doped silicate optical fiber through spectral holeburning and photon echoes. We find decoherence times of up to 3.8 $\mu$s at a magnetic field of 2.2 Tesla and a temperature of 150 mK. A strong magnetic-field dependent optical dephasing was observed and is believed to arise from an interaction between the electronic Er$^{3+}$ spin and the magnetic moment of tunneling modes in the glass. Furthermore, we observed fine-structure in the Erbium holeburning spectrum originating from superhyperfine interaction with $^{27}$Al host nuclei. Our results show that Er$^{3+}$-doped silicate fibers are promising material candidates for quantum state storage.

The compiled record

The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,362 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.99 · compares with prior results 0.06 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We studied optical coherence properties of the 1.53 $\mu$m telecommunication transition in an Er$^{3+}$-doped silicate optical fiber through spectral holeburning and photon echoes. We find decoherence times of up to 3.8 $\mu$s at a magnetic field of 2.2 Tesla and a temperature of 150 mK. A strong magnetic-field dependent optical dephasing was observed and is believed to arise from an interaction between the electronic Er$^{3+}$ spin and the magnetic moment of tunneling modes in the glass. Furthermore, we observed fine-structure in the Erbium holeburning spectrum originating from superhyperfine interaction with $^{27}$Al host nuclei. Our results show that Er$^{3+}$-doped silicate fibers are promising material candidates for quantum state storage.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We studied optical coherence properties of the 1.53 $\mu$m telecommunication transition in an Er$^{3+}$-doped silicate optical fiber through spectral holeburning and photon echoes. contribution 0.92 0.96 0.03 asserted 0.99
s1 We find decoherence times of up to 3.8 $\mu$s at a magnetic field of 2.2 Tesla and a temperature of 150 mK. result 1.00 0.97 0.08 asserted 1.00
s2 A strong magnetic-field dependent optical dephasing was observed and is believed to arise from an interaction between the electronic Er$^{3+}$ spin and the magnetic moment of tunneling modes in the glass. interpretation 0.81 0.95 0.06 hedged possibility 0.63
s3 Furthermore, we observed fine-structure in the Erbium holeburning spectrum originating from superhyperfine interaction with $^{27}$Al host nuclei. result 1.00 0.96 0.02 asserted 1.00
s4 Our results show that Er$^{3+}$-doped silicate fibers are promising material candidates for quantum state storage. interpretation 1.00 0.65 0.95 asserted 0.60

What kind of paper the classifier reports this is: empirical study 1.00 · evidence from observation or experiment 1.00.

What was examined, and what was not

sources read
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not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

Figures
Figure 1. ). All linewidths were extrapolated to zero exci￾tation power, i.e. were corrected for power broadening effects24. Based on a large number of measurements we estimate the error to be of the order of 20 %. Without ap￾plied magnetic field, we observed a decreasing linewidth with decreasing temperature, following a T 1.4±0.1 power￾law down to a temperature of 2 K (see
Figure 3. FIG. 3: Two-pulse photon echo peak intensity as a function
Figure 4. FIG. 4: Stimulated three-pulse photon echo peak intensity a

Showing 3 of the paper's 4 figures. See all figures in the PDF ↗ Figures reproduced from arXiv:quant-ph/0603192 by the authors.

References

Discussion

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