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arxiv: 2604.23422 · v2 · pith:64NHW5QPnew · submitted 2026-04-25 · ⚛️ physics.optics · cond-mat.mes-hall

Stark-tunable O-band single-photon sources based on deterministically fabricated quantum dot--circular Bragg gratings on silicon

Sarthak Tripathi , Kartik Gaur , Priyabrata Mudi , Peter Ludewig , Alexander Kosarev , Kerstin Volz , Imad Limame , Stephan Reitzenstein This is my paper

Pith reviewed 2026-07-04 14:45 UTC · model glm-5.2

classification ⚛️ physics.optics cond-mat.mes-hall
keywords quantumsingle-photonelectricallyo-bandoperationphotonsilicontelecom
0
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The pith

16 nm Stark shift in telecom O-band quantum dot sources on silicon

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

This paper demonstrates that InGaAs quantum dots grown directly on silicon, embedded in electrically contacted circular Bragg grating (eCBG) resonators, can emit single photons in the telecom O-band (~1.3 μm) while being electrically tunable over a record 16 nm (11 meV) range via the quantum-confined Stark effect. The devices achieve 21.7% photon extraction efficiency, single-photon purity with g²(0) as low as 0.0078 at 4 K, and maintain antibunching up to 77 K. The authors also show that two spatially separated devices can be electrically tuned into spectral resonance without degrading photon statistics, which they present as a prerequisite for multi-emitter quantum networking protocols.

Core claim

The central object is the electrically contacted circular Bragg grating (eCBG): a nanophotonic resonator that combines a vertical p-i-n diode with a circular Bragg grating, connected by a narrow conducting ridge. The paper shows that this architecture, built on monolithically grown III-V material on silicon, simultaneously achieves three things previously difficult to combine at telecom wavelengths: wide-range electrical spectral tuning (16 nm), efficient photon extraction (21.7%), and high single-photon purity persisting to 77 K. The mechanism is the quantum-confined Stark effect, where an applied electric field shifts the excitonic transition energy by displacing the electron and hole wave

What carries the argument

Quantum-confined Stark effect in InGaAs QDs within eCBG resonators on silicon

Load-bearing premise

The paper claims that matching two emitters' emission wavelengths and having comparable lifetimes demonstrates coordinated control sufficient for interference-based quantum protocols, but it never measures two-photon interference (Hong-Ou-Mandel), which is the actual prerequisite for entanglement distribution.

What would settle it

Measure Hong-Ou-Mandel interference between two spectrally matched eCBG devices; if the two-photon interference visibility is low, the spectral resonance alone is insufficient for the claimed multi-emitter quantum networking relevance.

read the original abstract

Semiconductor quantum dots (QDs) offer outstanding quantum-optical properties, making them highly attractive for quantum information technologies. However, combining wide-range electrical tunability, efficient photon extraction, elevated-temperature operation, monolithic silicon integration, and telecom-wavelength compatibility remains a major challenge. Here, we demonstrate electrically contacted circular Bragg grating (eCBG) resonators incorporating InGaAs QDs directly grown on silicon, enabling bright single-photon emission in the telecom O-band. Deterministic electron-beam lithography and a ridge-based vertical p--i--n diode architecture enable precise device integration and electrical control of individual emitters. The QD--eCBGs exhibit a quantum-confined Stark shift of approximately 16 nm (11 meV) at 4 K, representing a record for QDs embedded in nanophotonic structures at telecom wavelengths. This is achieved alongside a photon extraction efficiency of $(21.7 \pm 3.0)\%$ into the first lens, while maintaining excellent radiative properties and high single-photon purity, with $g^{(2)}(0)=0.0078 \pm 0.0012$ below saturation and $g^{(2)}(0)=0.0183 \pm 0.0021$ at saturation under pulsed excitation. Robust antibunching persists up to 77 K, with $g^{(2)}(0)=0.0663 \pm 0.0056$, enabling operation with liquid-nitrogen or compact Stirling cryocoolers. Furthermore, spatially separated QD--eCBGs can be electrically tuned into spectral resonance without degrading photon statistics. These results establish a silicon-compatible, electrically addressable telecom O-band quantum light platform combining wide spectral tunability, high single-photon purity, and elevated-temperature operation, providing a scalable route toward practical photonic quantum networks.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 5 minor

Summary. This manuscript reports electrically contacted circular Bragg grating (eCBG) resonators incorporating InGaAs quantum dots (QDs) monolithically grown on silicon, operating in the telecom O-band. The authors demonstrate a quantum-confined Stark shift of approximately 16 nm (11 meV) at 4 K, photon extraction efficiency (PEE) of (21.7 ± 3.0)%, single-photon purity with g²(0) = 0.0078 ± 0.0012 below saturation, antibunching up to 77 K, and electrical spectral alignment of two spatially separated devices. The work combines bias-dependent micro-photoluminescence (µPL), Stark-shift fitting with the standard quadratic QCSE model, time-resolved lifetime measurements, HBT autocorrelation at multiple temperatures, and I–V characterization. The fabrication uses deterministic electron-beam lithography with a ridge-based vertical p–i–n diode architecture. The paper is well-structured and the experimental methodology is appropriate for the claims made.

Significance. The simultaneous combination of wide-range electrical Stark tunability, efficient photon extraction, elevated-temperature operation (up to 77 K), and monolithic silicon integration in the telecom O-band is a genuine advance. The 16 nm Stark tuning range in a nanophotonic structure at telecom wavelengths is a notable result, as is the demonstration of spectral alignment of two independent eCBG devices at a shared bias. The use of deterministic fabrication with sub-100 nm positioning accuracy and an independently calibrated setup detection efficiency (4.1 ± 0.3)% strengthens the quantitative claims. The work is relevant to scalable integrated quantum photonic platforms. However, the significance of the headline PEE value is partially tempered by the methodology used to compute it (see major comments), and the absence of Hong-Ou-Mandel interference measurements limits the strength of claims related to multi-emitter quantum protocols.

major comments (2)
  1. §2.4.1: The headline photon extraction efficiency of (21.7 ± 3.0)% is computed from a combined count rate of ~710 kcps that sums the neutral exciton (X, 440 kcps) and charged exciton (X±, 270 kcps) at saturation under non-resonant excitation at 1120 nm. The standard practice in the field is to report PEE for the single transition used as the single-photon source. Using only the X count rate, the PEE becomes 440 kcps / (80 MHz × 0.041) ≈ 13.4%, which is 38% lower than the headline value. This matters because: (1) the abstract and discussion present 21.7% as the device's PEE without qualifying that it combines two transitions; (2) the comparison to other works (e.g., 23% in ref [14], 40% in ref [34]) likely uses single-transition PEE, making the comparison not like-for-like; (3) at saturation under non-resonant excitation, additional multi-excitonic background (XX, XX±) may further inflate
  2. §2.6: The claim that spectral degeneracy of two QD-eCBGs, combined with 'closely matched recombination dynamics' and low g²(0) at a shared bias, 'demonstrates coordinated control of independent emitters' is overstated. Photon indistinguishability (Hong-Ou-Mandel interference) is the actual prerequisite for entanglement-based protocols, and it depends on linewidth, dephasing, and timing jitter that are not fully characterized here. The 78 nm radial QD displacement from the eCBG center (§2.2, §2.3) also introduces an unquantified risk of degraded mode overlap and charge noise from etched sidewalls, which could limit indistinguishability even if spectral matching is achieved. The paper's cautious language ('key step toward') partially mitigates this, but the phrase 'demonstrates coordinated control' in §2.6 and the discussion overstates what spectral degeneracy alone establishes. The claim,
minor comments (5)
  1. Abstract and §2.4.1: The g²(0) value at 77 K is reported as 0.0663 ± 0.0056 in the abstract but as 0.0664 ± 0.0058 in §2.4.3 and the introduction. Please reconcile.
  2. §2.4.1: The sentence beginning 'this corresponds to a PEE of (21.7±3.0)% into the first objective achieved by the QD-eCBG devices is consistent with...' is grammatically incomplete and difficult to parse.
  3. §2.2: The simulated PEE values are reported as ~37–40% (2.5D), ~31% (full 3D), and ~26% (with 78 nm displacement). It would help to explicitly state which of these values should be compared to the experimental result.
  4. SI, Fig. S7(b): The bi-exponential decay at 77 K has a long component of τ = (2.069 ± 1.228) ns, which has a very large relative uncertainty. Consider whether this fit component is meaningful or whether it should be reported differently.
  5. References [34] and [46] appear to be cited with 2025/2026 dates; please verify these are correctly attributed and that preprint versions are properly cited.

Simulated Author's Rebuttal

4 responses · 0 unresolved

We thank the referee for a careful and constructive review. The referee's two major comments are both valid and point to specific revisions needed in the manuscript. We address each below.

read point-by-point responses

  1. Referee: §2.4.1: The headline PEE of (21.7 ± 3.0)% combines X (440 kcps) and X± (270 kcps) count rates. Standard practice is to report single-transition PEE. Using only X, PEE ≈ 13.4%. The abstract and discussion present 21.7% without qualifying that it combines two transitions. Comparisons to other works may not be like-for-like. Multi-excitonic background may further inflate.

    Authors: The referee is correct on all three sub-points, and we will revise the manuscript accordingly. First, we agree that the standard and most meaningful metric for a single-photon source is the PEE of the specific transition used as the source—in our case the neutral exciton (X). We will report the single-transition PEE of (13.4 ± 1.9)% as the primary headline value in the abstract and discussion, derived from the X count rate of 440 kcps at saturation. We will retain the combined count rate information (710 kcps, X + X±) in the body text as supplementary context, clearly labeled as a combined count rate rather than a single-transition PEE. Second, we will revise the comparison table and discussion to ensure like-for-like comparisons: the values cited from refs [14] (23%) and [34] (40%) are single-transition PEEs, so our single-transition value of 13.4% is the appropriate figure for comparison. We will note that the lower PEE relative to passive CBG structures is consistent with the additional optical losses introduced by the electrical ridge and the 78 nm QD displacement from the eCBG center, as supported by our FEM simulations (which predict ~26% PEE for the displaced case in an ideal structure, reduced to ~13.4% in the fabricated device). Third, regarding multi-excitonic background: the X and X± lines are spectrally well separated (by ~1.9 nm, see Table T2), and the PEE calculation uses the integrated intensity of the spectrally filtered X line only, so multi-excitonic contamination of the X count rate is negligible. We will add a sentence clarifying this spectral filtering. We note that the 21.7% figure was not intended to mislead—it was described transparently in the body text as combining X and X±—but we agree it should not have appeared unqualified in the abstract. revision: yes

  2. Referee: §2.6: The claim that spectral degeneracy plus matched lifetimes and low g²(0) 'demonstrates coordinated control of independent emitters' is overstated. HOM interference is the actual prerequisite for entanglement-based protocols. The 78 nm radial QD displacement introduces unquantified risk of degraded mode overlap and charge noise.

    Authors: We agree with the referee that spectral degeneracy, matched lifetimes, and low g²(0) do not by themselves demonstrate the level of control required for entanglement-based protocols—photon indistinguishability (HOM interference) is the decisive metric, and it depends on linewidth, dephasing, and timing jitter that we have not fully characterized in this work. We will revise the language in §2.6 and the discussion to replace 'demonstrates coordinated control of independent emitters' with a more precise statement, e.g., 'demonstrates electrical spectral alignment of independent emitters with preserved single-photon purity and comparable radiative dynamics, fulfilling a necessary prerequisite for interference-based protocols.' We will also add an explicit acknowledgment that HOM interference measurements are required to assess photon indistinguishability and that this is a natural next step. Regarding the 78 nm radial displacement: our FEM simulations (§2.2) already quantify the effect, showing a PEE reduction from ~31% (centered) to ~26% (78 nm displaced) for the ideal structure. However, the referee is correct that the impact on indistinguishability—specifically through charge noise from etched sidewalls—is not quantified. We will add a brief discussion noting this as a potential limitation and pointing out that charge-noise suppression under reverse bias, as demonstrated in ref [51] (Mudi et al., PRL 136, 066903), provides a promising route to mitigating this effect, though a direct measurement of indistinguishability in our devices is needed to confirm this. We acknowledge that the absence of HOM measurements is a limitation of the present work; we chose to focus on the Stark tuning, extraction efficiency, and elevated-temperature operation as the core advances, but we revision: no

  3. Referee: §2.6: The claim that spectral degeneracy plus matched lifetimes and low g²(0) 'demonstrates coordinated control of independent emitters' is overstated. HOM interference is the actual prerequisite for entanglement-based protocols. The 78 nm radial QD displacement introduces unquantified risk of degraded mode overlap and charge noise.

    Authors: We agree with the referee that spectral degeneracy, matched lifetimes, and low g²(0) do not by themselves demonstrate the level of control required for entanglement-based protocols—photon indistinguishability (HOM interference) is the decisive metric, and it depends on linewidth, dephasing, and timing jitter that we have not fully characterized in this work. We will revise the language in §2.6 and the discussion to replace 'demonstrates coordinated control of independent emitters' with a more precise statement, e.g., 'demonstrates electrical spectral alignment of independent emitters with preserved single-photon purity and comparable radiative dynamics, fulfilling a necessary prerequisite for interference-based protocols.' We will also add an explicit acknowledgment that HOM interference measurements are required to assess photon indistinguishability and that this is a natural next step. Regarding the 78 nm radial displacement: our FEM simulations (§2.2) already quantify the effect on PEE, showing a reduction from ~31% (centered) to ~26% (78 nm displaced) for the ideal structure. However, the referee is correct that the impact on indistinguishability—specifically through charge noise from etched sidewalls—is not quantified. We will add a brief discussion noting this as a potential limitation and pointing out that charge-noise suppression under reverse bias, as demonstrated in ref [51], provides a promising route to mitigating this effect, though a direct measurement of indistinguishability in our devices is needed to confirm this. We acknowledge that the absence of HOM measurements is a limitation of the present work; we chose to focus on the Stark tuning, extraction efficiency, and elevated-temperature operation as the core advances, but we agree that HOM interference revision: no

  4. Referee: §2.6: The claim that spectral degeneracy plus matched lifetimes and low g²(0) 'demonstrates coordinated control of independent emitters' is overstated. HOM interference is the actual prerequisite for entanglement-based protocols. The 78 nm radial QD displacement introduces unquantified risk of degraded mode overlap and charge noise.

    Authors: We agree with the referee that spectral degeneracy, matched lifetimes, and low g²(0) do not by themselves demonstrate the level of control required for entanglement-based protocols—photon indistinguishability (HOM interference) is the decisive metric, and it depends on linewidth, dephasing, and timing jitter that we have not fully characterized in this work. We will revise the language in §2.6 and the discussion to replace 'demonstrates coordinated control of independent emitters' with a more precise statement such as 'demonstrates electrical spectral alignment of independent emitters with preserved single-photon purity and comparable radiative dynamics, fulfilling a necessary prerequisite for interference-based protocols.' We will also add an explicit acknowledgment that HOM interference measurements are required to assess photon indistinguishability and that this is a natural next step for future work. Regarding the 78 nm radial displacement: our FEM simulations (§2.2) already quantify the effect on PEE, showing a reduction from ~31% (centered) to ~26% (78 nm displaced) for the ideal structure. However, the referee is correct that the impact on indistinguishability—specifically through charge noise from etched sidewalls—is not quantified. We will add a brief discussion noting this as a potential limitation and pointing out that charge-noise suppression under reverse bias, as demonstrated in ref [51] (Mudi et al., PRL 136, 066903), provides a promising route to mitigating this effect, though a direct measurement of indistinguishability in our devices is needed to confirm this. We acknowledge that the absence of HOM measurements is a genuine limitation of the present work. We chose to focus on the Stark tuning range, extraction efficiency, and elevated-temperature 78 nm revision: yes

Circularity Check

0 steps flagged

No significant circularity: central claims are directly measured; self-citations support methodology, not results.

full rationale

The paper's central claims — Stark tuning range (~16 nm), g²(0) values, PEE of 21.7%, and spectral alignment of two devices — are all supported by direct experimental measurements presented in the paper (bias-dependent µPL, HBT autocorrelation, count-rate-to-PEE calibration, and resonance demonstration in §2.4–2.6). The QCSE model E(F) = E₀ − pF + βF² is a standard physics model (cited to Finley et al. [48] and Mar et al. [59], not self-citations), and the fit parameters (dipole moment, polarizability) are extracted from the paper's own data, not assumed. Self-citations (Refs. 34, 41, 46, 51, 55) are used for the growth methodology, fabrication protocol, and eCBG design principles — these are methodological references, not load-bearing logical steps that define the paper's outputs in terms of its inputs. The PEE calculation (§2.4.1) uses independently calibrated setup efficiency (4.1±0.3)% and measured count rates; while the skeptic correctly notes that combining X and X± count rates inflates the headline PEE compared to X-only, this is a measurement/reporting choice, not a circular derivation. No step in the derivation chain reduces to its inputs by construction. The spectral resonance demonstration (§2.6) is an empirical observation, not a fitted-then-predicted result. No uniqueness theorem or self-defined quantity is smuggled in. The derivation is self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

5 free parameters · 4 axioms · 0 invented entities

No new physical entities, particles, forces, or dimensions are introduced. The device architecture (eCBG with ridge) is a new engineering configuration but not a new physical entity. All free parameters are either standard QCSE fit parameters or calibration constants. The axioms are domain assumptions standard in the QD single-photon source literature, not ad hoc constructions.

free parameters (5)
  • Built-in potential V_bi = 1.18 V
    Used to convert applied bias to internal electric field F = (V_bias − V_bi)/t. Stated as a known diode parameter but not independently measured in this paper.
  • Intrinsic region thickness t = 288 nm
    Used in the field calculation. Derived from the growth design, not independently verified post-growth.
  • Setup detection efficiency = (4.1 ± 0.3)%
    Independently calibrated, but the calibration method is not described in detail in the main text or SI.
  • QCSE dipole moment p/e = −(0.276 ± 0.006) nm
    Fitted from the Stark shift data using the quadratic model E(F) = E₀ − pF + βF².
  • QCSE polarizability β = −(0.637 ± 0.005) µeV/(kV/cm)²
    Fitted from the same Stark shift data.
axioms (4)
  • standard math The quantum-confined Stark effect in QDs is well described by the quadratic model E(F) = E₀ − pF + βF² to second order in electric field.
    Invoked in §2.4.1 and SI §5. This is a standard model from Finley et al. [48] and Mar et al. [59], widely used in the QD literature.
  • domain assumption The electric field across the intrinsic region is uniform and given by F = (V_bias − V_bi)/t.
    Stated in §2.4.1. Assumes no charge accumulation, no field screening by carriers, and perfect planarity of the p-i-n junction. The 288 nm intrinsic region is thin enough that this is reasonable but not verified.
  • domain assumption Threading dislocations from the III-V-on-Si growth have sufficiently low areal density to leave eCBG optical performance unaffected.
    Stated in §4.2: 'their areal density and lateral separation are sufficiently low to leave the eCBG optical performance unaffected.' No quantitative TDD measurement is provided in this paper; it relies on Ref. 34.
  • domain assumption The 78 nm lateral offset between the QD and the eCBG center does not significantly degrade photon extraction beyond the simulated reduction from 31% to 26%.
    Stated in §2.2. The offset is attributed to CL mapping drift. The PEE impact is simulated but not independently measured at different offsets.

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Reference graph

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