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arxiv: 2605.03251 · v1 · submitted 2026-05-05 · ⚛️ physics.optics

Anderson Localization with Single Photons from a Quantum Emitter

Simon J. U. White , Diego N. Bernal-Garc\'ia , Toan Trong Tran , Igor Aharonovich , Alexander S. Solntsev This is my paper

Pith reviewed 2026-05-07 15:19 UTC · model grok-4.3

classification ⚛️ physics.optics
keywords Anderson localizationsingle photonshexagonal boron nitridedisordered waveguidestight-binding systemsquantum emittersintegrated photonics
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The pith

Single photons from a room-temperature emitter in hexagonal boron nitride undergo Anderson localization in disordered waveguide lattices.

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

The paper experimentally shows that single photons emitted by a quantum defect in hBN at room temperature localize in arrays of coupled waveguides when disorder is introduced in the couplings. Even with the emitter's limited coherence time, the output intensity decays exponentially away from the launch site. A supporting theory proves that averaging over many disorder configurations produces a fixed intensity pattern at long distances, with the width of this pattern shrinking as the inverse square root of the disorder strength. This opens a practical route to study fundamental localization physics and to design photonic devices that use disorder on purpose.

Core claim

Anderson localization is demonstrated with single photons from a hexagonal boron nitride emitter at room temperature. Exponentially localized output intensity profiles appear in disordered waveguide lattices. The configuration-averaged intensity converges to a stationary distribution whose effective localization length scales inversely with the variance of the off-diagonal disorder.

What carries the argument

The configuration-averaged output intensity in a disordered tight-binding model, which reaches a stationary spatial profile whose localization length scales as the inverse square root of disorder variance.

If this is right

  • The photons remain localized near the excitation site as coupling disorder increases.
  • The stationary profile for off-diagonal disorder has an effective localization length that scales inversely with the square of the disorder strength.
  • Defect-based room-temperature emitters become practical platforms for integrated photonics experiments on localization.
  • Controlled disorder can be exploited in neuromorphic and quantum photonic architectures.

Where Pith is reading between the lines

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

  • These room-temperature single-photon sources could make localization studies more accessible than systems requiring cryogenics.
  • The inverse-variance scaling might be testable in other wave systems like acoustics or cold atoms.
  • Integrating such emitters with tunable disorder could lead to new designs for light-based computing elements.

Load-bearing premise

The limited temporal coherence of the single-photon emitter is still sufficient for the photons to experience the disorder-induced localization effects in the waveguide array.

What would settle it

Measuring output intensity profiles that fail to show exponential localization or that do not exhibit the predicted inverse-variance scaling of the effective localization length with increasing disorder would falsify the central claim.

Figures

Figures reproduced from arXiv: 2605.03251 by Alexander S. Solntsev, Diego N. Bernal-Garc\'ia, Igor Aharonovich, Simon J. U. White, Toan Trong Tran.

Figure 1
Figure 1. Figure 1: Schematic summary of the experiment and main theoretical view at source ↗
Figure 2
Figure 2. Figure 2: Simulation of light propagation in ordered and disordered view at source ↗
Figure 3
Figure 3. Figure 3: Single-photon source measurement. a) Experimental implementation. A hBN single photon emitter is excited with a view at source ↗
Figure 5
Figure 5. Figure 5: Localization lengths 𝜉 extracted from exponential fits to output intensity profiles for laser excitation at different wavelengths (blue squares) and for single photons emitted by an hBN defect cen￾tered at 619 nm (red circle). The values obtained with laser excitation are consistent, within uncertainty, with those measured for hBN sin￾gle photons. Error bars denote the 95% confidence interval of the fitted… view at source ↗
Figure 4
Figure 4. Figure 4: Experimental observation of single-photon propagation view at source ↗
read the original abstract

Anderson localization of light is a fundamental emergent phenomenon in disordered systems. In arrays of coupled waveguides, it suppresses transport and causes photons to remain localized near the excitation site as coupling disorder increases. Here, we experimentally demonstrate Anderson localization using single photons emitted by a single-photon emitter in hexagonal boron nitride at room temperature. Despite the limited temporal coherence of the emitter, the photons undergo pronounced Anderson localization, evidenced by exponentially localized output intensity profiles in disordered waveguide lattices. Beyond the experimental demonstration, we develop a general theoretical framework for wave propagation in disordered tight-binding systems, showing that the configuration-averaged output intensity converges to a stationary spatial distribution at large propagation distances. In the case of off-diagonal disorder, this stationary profile is characterized by an effective localization length that exhibits a robust inverse-variance scaling with the disorder strength. These results establish defect-based room-temperature emitters as practical platforms for studying Anderson localization in integrated photonics and support their use in applications that exploit controlled disorder, including neuromorphic and quantum photonic architectures.

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 experimentally demonstrates Anderson localization of single photons emitted by a room-temperature hBN defect in disordered waveguide lattices, reporting exponentially localized output intensity profiles. It additionally develops a general theoretical framework for propagation in disordered tight-binding systems, proving that the configuration-averaged intensity converges to a stationary spatial distribution at large distances, with an effective localization length showing robust inverse-variance scaling versus disorder strength specifically for off-diagonal disorder.

Significance. If the coherence-length comparison and applicability of the coherent-wave scaling are established, the work would be significant for establishing accessible room-temperature single-photon sources as platforms for Anderson localization studies in integrated photonics. The theoretical convergence result and inverse-variance scaling constitute a clean, parameter-free prediction for off-diagonal disorder that could be directly tested in waveguide arrays.

major comments (2)
  1. [Experimental demonstration] Experimental demonstration section: The statement that photons 'undergo pronounced Anderson localization' despite the emitter's limited temporal coherence requires a quantitative comparison of the hBN emitter coherence length (picosecond scale), the physical propagation distance through the waveguide array, and the measured localization length. Without this, the observed profiles could arise from incoherent intensity summation rather than the phase-coherent multiple scattering underlying Anderson localization.
  2. [Theoretical framework] Theoretical framework section: The derivation that the stationary profile for off-diagonal disorder exhibits inverse-variance scaling with disorder strength assumes fully coherent propagation. The manuscript must specify the regime of validity when the input wave has finite coherence time comparable to or shorter than the propagation time, as realized in the hBN experiment.
minor comments (2)
  1. [Abstract and Results] The abstract and main text should explicitly state the number of disorder realizations used for configuration averaging in both experiment and theory, and include error bars or statistical analysis on the fitted localization lengths.
  2. [Figures] Figure captions for the intensity profiles should indicate the propagation distance at which the stationary regime is reached and whether the profiles are raw data or configuration-averaged.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the detailed and constructive report. The two major comments both concern the interplay between the emitter's finite coherence and the conditions for observing Anderson localization. We address each point below and will revise the manuscript to incorporate the requested clarifications and quantitative comparisons.

read point-by-point responses

  1. Referee: Experimental demonstration section: The statement that photons 'undergo pronounced Anderson localization' despite the emitter's limited temporal coherence requires a quantitative comparison of the hBN emitter coherence length (picosecond scale), the physical propagation distance through the waveguide array, and the measured localization length. Without this, the observed profiles could arise from incoherent intensity summation rather than the phase-coherent multiple scattering underlying Anderson localization.

    Authors: We agree that a direct quantitative comparison is required to rule out an incoherent interpretation. In the revised manuscript we will insert a new paragraph (and accompanying table) that reports: (i) the measured coherence time of the hBN emitter (~few ps), (ii) the group-velocity-determined propagation time across the 1-cm-long array, and (iii) the extracted localization length (~few waveguide spacings). This comparison shows that the photon undergoes multiple scattering events within its coherence window, consistent with coherent Anderson localization. We will also note that purely incoherent intensity summation cannot reproduce the observed exponential decay with increasing disorder. revision: yes

  2. Referee: Theoretical framework section: The derivation that the stationary profile for off-diagonal disorder exhibits inverse-variance scaling with disorder strength assumes fully coherent propagation. The manuscript must specify the regime of validity when the input wave has finite coherence time comparable to or shorter than the propagation time, as realized in the hBN experiment.

    Authors: The analytic derivation is performed in the fully coherent limit, as is conventional for Anderson localization. We will add an explicit paragraph in the theoretical section stating the regime of validity: the stationary distribution and inverse-variance scaling hold when the coherence time is longer than the time required for the intensity to reach its asymptotic localized profile (set by the localization length and group velocity). For the experimental parameters this condition is satisfied, as evidenced by the observed localization; we will also briefly discuss the crossover to incoherent transport that would occur for substantially shorter coherence times. revision: yes

Circularity Check

0 steps flagged

No circularity in derivation chain; framework derives scaling from first principles

full rationale

The paper's theoretical framework starts from standard tight-binding models for waveguide arrays and derives the convergence of configuration-averaged intensity to a stationary profile at large distances, plus the inverse-variance scaling of effective localization length under off-diagonal disorder, directly from the propagation equations and averaging procedure. No step reduces the claimed result to a fitted parameter, self-definition, or load-bearing self-citation; the scaling is presented as an emergent property of the model rather than an input. Experimental intensity profiles are measured independently and compared to the derived expectations without circular fitting. The derivation remains self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on the standard tight-binding approximation for coupled waveguides and statistical averaging over disorder realizations. No free parameters are explicitly introduced or fitted in the abstract description, and no new entities are postulated.

axioms (2)
  • domain assumption Wave propagation in disordered tight-binding systems can be modeled by arrays of coupled waveguides with random coupling strengths.
    Invoked in the experimental setup and theoretical framework sections of the abstract.
  • standard math Configuration-averaged intensity converges to a stationary spatial distribution at large distances.
    Stated as part of the developed theoretical framework.

pith-pipeline@v0.9.0 · 5488 in / 1286 out tokens · 77272 ms · 2026-05-07T15:19:11.034764+00:00 · methodology

discussion (0)

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Reference graph

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