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arxiv: 2604.21874 · v1 · submitted 2026-04-23 · 🪐 quant-ph · cond-mat.mes-hall

Enhancing Coherence of Spin Centers in p-n Diodes via Optimization Algorithms

Jonatan A. Posligua , David E. Stewart , Denis R. Candido This is my paper

Pith reviewed 2026-05-09 21:58 UTC · model grok-4.3

classification 🪐 quant-ph cond-mat.mes-hall
keywords spin centersp-n diodesoptimization algorithmsdivacanciessilicon carbideoptical linewidthcoherencecharge noise
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The pith

An optimization algorithm identifies diode parameters that minimize optical linewidth for divacancies in SiC p-i-n diodes

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

The paper develops a scaled gradient descent optimization algorithm to tune parameters in p-n diodes and reduce the optical linewidth of embedded spin centers. It solves the diode Poisson equation numerically and calculates charge noise from non-depleted regions to guide the search for better designs. The method is tested on divacancies in silicon carbide p-i-n diodes, varying reverse bias voltage, doping density and profile, and total length while staying within limits like low voltage and no dielectric breakdown. A new model for leakage current noise is added, and the work shows that placing defects away from surfaces reduces this contribution. Readers would care because narrower lines and longer coherence times matter for using spin centers in quantum devices.

Core claim

A scaled gradient descent optimization algorithm that combines numerical solutions of the diode Poisson equation with charge noise calculations from non-depleted regions identifies optimal sets of parameters, including reverse-bias voltage, doping density and profile, and diode total length, that minimize the optical linewidth of divacancies in SiC p-i-n diodes. The optimization respects physical constraints such as small operating voltages and avoidance of dielectric breakdown. A new formalism accounts for leakage current at reverse bias, and implanting spin defects away from the diode surfaces mitigates the associated noise.

What carries the argument

Scaled gradient descent optimization algorithm that minimizes optical linewidth by coupling numerical Poisson equation solutions for the diode to charge noise models from non-depleted regions and leakage currents.

If this is right

  • The algorithm handles both single-parameter and multi-parameter cases for voltage, doping, and diode length.
  • Leakage current noise is mitigated by implanting spin defects away from the diode surfaces.
  • The optimized parameters provide guidance for experimental diodes expected to show the narrowest optical linewidths and longest coherence times.
  • All results remain valid only under the stated constraints on voltage and doping density.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same optimization approach could be applied to other spin defects or host materials beyond SiC divacancies.
  • Experimental tests could directly compare measured linewidths in optimized versus standard diodes to check the noise model.
  • Trade-offs with wavelength control via Stark shift might appear when using the optimized diodes.
  • Similar methods could help design other quantum devices where charge noise or electric fields affect embedded spins.

Load-bearing premise

Charge noise from non-depleted regions plus the leakage current term is the dominant source of optical linewidth broadening and decoherence, with all other noise sources negligible or correctly captured by the model.

What would settle it

Fabricate p-i-n diodes using the optimized parameters and measure the optical linewidth of the divacancies to test whether it is narrower than in diodes built with non-optimized parameters.

Figures

Figures reproduced from arXiv: 2604.21874 by David E. Stewart, Denis R. Candido, Jonatan A. Posligua.

Figure 1
Figure 1. Figure 1: FIG. 1: (a) Schematic of a 4H-SiC [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2: Electrostatic properties of a 4H-SiC [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3: Single-parameter linewidth optimization with respect to the bias voltage. The initial design parameters are [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4: (a) Single-type parameter linewidth optimization with respect to doping densities for small bias voltage [PITH_FULL_IMAGE:figures/full_fig_p008_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5: Optimization with respect to the lengths of the [PITH_FULL_IMAGE:figures/full_fig_p009_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6: Optimization process for 3 different sets of initial design parameters with displayed iteration-by-iteration [PITH_FULL_IMAGE:figures/full_fig_p010_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7: (a) Optimization process for 3 different sets of initial design parameters with displayed iteration-by-iteration [PITH_FULL_IMAGE:figures/full_fig_p011_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8: Maximum electric field [ [PITH_FULL_IMAGE:figures/full_fig_p011_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9: Cause and effect of leakage current present in [PITH_FULL_IMAGE:figures/full_fig_p015_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10: Flow chart of our optimization algorithm. For a given set of initial design parameters, the optical linewidth [PITH_FULL_IMAGE:figures/full_fig_p020_10.png] view at source ↗
read the original abstract

Solid-state spin defects hold great promise as building blocks for various quantum technologies. Embedding spin centers in $p$-$n$ diodes under reverse bias has proved to be a powerful strategy to narrow the optical linewidth and increase spin coherence, while also enabling control of the photoluminescence wavelength via Stark shift. Given the multitude of parameters influencing spin centers in diodes (e.g., doping densities and profiles, temperature, bias voltage, spin center position), a question that has not yet been answered is: which set of these design parameters maximizes spin center coherence? In this work, we address this question by developing a scaled gradient descent optimization algorithm that minimizes the optical linewidth of spin centers by combining the numerical solution of a diode's Poisson equation with calculated charge noise from the non-depleted regions. Our optimization is performed for both single- and multiple-parameter cases for divacancies in SiC $p$-$i$-$n$ diodes, including reverse-bias voltage, doping density and profile, and diode total length. Importantly, the optimization is subject to realistic physical constraints, such as small operating bias voltages, avoidance of the dielectric breakdown regime and physical thresholds for doping density. Additionally, due to the leakage current at reverse bias voltages, we develop a new formalism to investigate its influence on coherence. We show that the corresponding noise can be mitigated by implanting spin defects away from the diode's surfaces. Our work provides guidance on experimentally relevant diodes for hosting spin centers with the narrowest optical linewidths and longest coherence times.

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 / 2 minor

Summary. The manuscript develops a scaled gradient descent optimization algorithm to minimize the optical linewidth of divacancy spin centers embedded in SiC p-i-n diodes. It solves the diode Poisson equation to compute electric fields and charge noise from non-depleted regions, introduces a new leakage-current noise formalism under reverse bias, and optimizes parameters including bias voltage, doping density/profile, and total diode length subject to physical constraints (e.g., avoiding dielectric breakdown). The work reports that implanting defects away from surfaces mitigates leakage noise and provides design guidance for narrowest linewidths and longest coherence times.

Significance. If the modeled charge noise channel is indeed dominant, the approach supplies a practical computational framework for co-designing diode electrostatics and defect placement in solid-state quantum devices. It incorporates realistic constraints and a leakage term not previously formalized in this context, potentially accelerating experimental iteration in SiC-based spin-photon interfaces.

major comments (2)
  1. [Abstract and Results/Discussion] The headline claim that optimized parameters produce the narrowest linewidths and longest coherence times is load-bearing on the assumption that charge noise from non-depleted regions plus the new leakage term dominates all other decoherence sources (phonons, strain, surface states, etc.). No quantitative comparison or bound on the relative contribution of these other channels is provided, and the manuscript contains no direct calibration of the predicted linewidths against measured divacancy spectra in SiC p-i-n devices.
  2. [Methods (noise model section)] The leakage-current noise formalism is introduced as novel, yet its derivation and the functional dependence on defect position are not shown to be independent of adjustable constants in the noise spectral density. This risks circularity if the spectral-density prefactors are chosen to match the optimization target rather than measured independently.
minor comments (2)
  1. [Figures] Figure captions and axis labels should explicitly state the units and the precise definition of 'linewidth' (e.g., FWHM of the optical transition) used in the optimization objective.
  2. [Methods] The description of the scaled gradient descent algorithm would benefit from a pseudocode block or explicit statement of the step-size schedule and convergence criterion.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading and constructive comments, which have helped us identify areas for clarification. We respond to each major comment below and indicate the revisions we will incorporate.

read point-by-point responses

  1. Referee: [Abstract and Results/Discussion] The headline claim that optimized parameters produce the narrowest linewidths and longest coherence times is load-bearing on the assumption that charge noise from non-depleted regions plus the new leakage term dominates all other decoherence sources (phonons, strain, surface states, etc.). No quantitative comparison or bound on the relative contribution of these other channels is provided, and the manuscript contains no direct calibration of the predicted linewidths against measured divacancy spectra in SiC p-i-n devices.

    Authors: We agree that the headline claim in the abstract assumes the modeled charge-noise channels are dominant. The optimization procedure is designed specifically to minimize the contribution from non-depleted-region charge noise and leakage current under the diode electrostatics we solve. In the revised manuscript we will qualify the abstract wording to state that the reported parameters minimize charge-noise-limited linewidths, and we will add a paragraph in the Discussion section that (i) lists the principal competing decoherence mechanisms with references, (ii) notes the absence of quantitative bounds on their relative weights in the present model, and (iii) explicitly states that direct experimental calibration against measured divacancy spectra in p-i-n devices lies outside the scope of this computational study. These changes will make the assumptions transparent without altering the technical content of the optimization. revision: partial

  2. Referee: [Methods (noise model section)] The leakage-current noise formalism is introduced as novel, yet its derivation and the functional dependence on defect position are not shown to be independent of adjustable constants in the noise spectral density. This risks circularity if the spectral-density prefactors are chosen to match the optimization target rather than measured independently.

    Authors: We will expand the Methods section (and, if space permits, the supplementary material) to present the full derivation of the leakage-current noise spectral density. The position dependence enters through the spatially varying leakage-current density and the local electric-field profile obtained from the Poisson solution; no adjustable constants are introduced at that stage. The overall prefactors are taken from independently reported leakage-current densities for SiC p-i-n diodes in the literature and from fundamental constants (e.g., elementary charge, temperature). In the revision we will add an explicit statement that these prefactors are fixed inputs and are not varied during the optimization, thereby removing any appearance of circularity. revision: yes

Circularity Check

0 steps flagged

No significant circularity: optimization uses explicit Poisson solver plus derived charge-noise model

full rationale

The derivation chain consists of solving the diode Poisson equation under physical constraints, computing charge noise from non-depleted regions plus a new leakage-current term, and then applying scaled gradient descent to minimize the resulting optical linewidth. This process is a standard numerical optimization over an explicit forward model; the minimized linewidth is an output of the model rather than a parameter fitted to the same quantity. No equations reduce by construction to their inputs, no self-citations are load-bearing for the central claim, and no ansatz or uniqueness theorem is imported from prior author work. The framework is therefore self-contained against its stated assumptions and external benchmarks (standard semiconductor electrostatics).

Axiom & Free-Parameter Ledger

2 free parameters · 2 axioms · 0 invented entities

The central claim rests on a standard electrostatic model plus an assumed dominance of charge noise; no new particles or forces are introduced.

free parameters (2)
  • doping density and profile
    Treated as optimizable variables within physical thresholds; values are not fixed a priori but searched numerically.
  • reverse-bias voltage
    Optimized subject to small-voltage and breakdown constraints.
axioms (2)
  • domain assumption Charge noise from non-depleted regions is the primary contributor to optical linewidth and spin decoherence
    Invoked when the optimization objective is defined as minimizing linewidth via calculated charge noise.
  • standard math The Poisson equation solution accurately captures the electric field and charge distribution under reverse bias
    Used as the numerical engine for the diode model.

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Reference graph

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