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arxiv: 2605.17687 · v1 · pith:2GL4OAURnew · submitted 2026-05-17 · ⚛️ physics.chem-ph

Simulating Exciton Transport with Complex Absorbing Potentials

Dimitri Bazile , Justin Caram , Chern Chuang , Daniel Neuhauser This is my paper

Pith reviewed 2026-05-19 21:52 UTC · model grok-4.3

classification ⚛️ physics.chem-ph
keywords exciton transportcomplex absorbing potentialsmolecular aggregatescyanine dyesvacancy defectsenergy transportnon-Hermitian systemsstochastic simulation
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0 comments X

The pith

A stochastic framework with complex absorbing potentials models exciton transport in large molecular aggregates.

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

The paper introduces a stochastic framework based on complex absorbing potentials to study exciton movement in large groups of molecules. These potentials act as non-Hermitian sinks that absorb the excitons and thereby measure how efficiently energy travels through the aggregate. The approach is applied to cyanine dye systems arranged as two-dimensional sheets or quasi-one-dimensional tubes, showing the effects of missing molecules and overall size on the dynamics. It also provides a classification scheme that connects the molecular packing arrangement in flat aggregates to their transport performance. A sympathetic reader would care because the results indicate that topology and disorder control energy flow and could inform the design of materials that move energy more effectively.

Core claim

We introduce a stochastic framework based on complex absorbing potentials (CAPs) to investigate exciton transport in large molecular aggregates. Within this approach, CAPs act as non-Hermitian reservoirs and sinks that enable effective measurement of transport efficiency. We apply this framework to cyanine dye aggregates and examine how vacancy defects and system size influence exciton dynamics in two-dimensional sheets and quasi-one-dimensional tubes. We also introduce a CAPs-based classification scheme that links molecular packing in 2D aggregates to transport behavior. Our results demonstrate how aggregate topology and structural disorder govern exciton dynamics and provide guidance for

What carries the argument

Complex absorbing potentials (CAPs) functioning as non-Hermitian reservoirs and sinks to measure transport efficiency in simulated exciton dynamics.

Load-bearing premise

Complex absorbing potentials can function as non-Hermitian reservoirs and sinks that enable effective measurement of transport efficiency in the simulated exciton dynamics.

What would settle it

A direct comparison between the transport efficiencies predicted by the CAPs framework and either exact quantum calculations on small aggregates or experimental exciton diffusion lengths measured in cyanine dye samples with controlled vacancy densities would settle the claim.

Figures

Figures reproduced from arXiv: 2605.17687 by Chern Chuang, Daniel Neuhauser, Dimitri Bazile, Justin Caram.

Figure 1
Figure 1. Figure 1: FIG. 1. Schematic representation of two brick-layer monomers showing the geometric parameters [PITH_FULL_IMAGE:figures/full_fig_p005_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Schematic representation of the complex absorbing potentials (CAPs) implemented in the [PITH_FULL_IMAGE:figures/full_fig_p007_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Schematic of the 2D circular absorbing potentials applied to a 2D sheet geometry. The [PITH_FULL_IMAGE:figures/full_fig_p010_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: compares the PR with the average transmission computed using the 1D CAP potential as the energetic disorder strength (σ) increases. The transmission reproduces both the trend and overall shape of the PR. Thus, the average transmission predicts exciton delocalization and can serve as an alternative to PR/IPR(Inverse Participation ratio), with the additional advantage of providing directional information abo… view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. (a) Plot of Average Transmission for 2D sheet aggregate with varying [PITH_FULL_IMAGE:figures/full_fig_p014_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Transmission calculated using angle-dependent CAPs with Aggregate Classification of H,J, [PITH_FULL_IMAGE:figures/full_fig_p015_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. k-state contribution of transmission for contour plots of TDBC under varying [PITH_FULL_IMAGE:figures/full_fig_p017_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. k-state contribution of transmission for contour plots of Cy7-DPA under varying [PITH_FULL_IMAGE:figures/full_fig_p018_8.png] view at source ↗
read the original abstract

We introduce a stochastic framework based on complex absorbing potentials (CAPs) to investigate exciton transport in large molecular aggregates. Within this approach, CAPs act as non-Hermitian reservoirs and sinks that enable effective measurement of transport efficiency. We apply this framework to cyanine dye aggregates and examine how vacancy defects and system size influence exciton dynamics in two-dimensional sheets and quasi-one-dimensional tubes. We also introduce a CAPs-based classification scheme that links molecular packing in 2D aggregates to transport behavior. Our results demonstrate how aggregate topology and structural disorder govern exciton dynamics and provide guidance for designing materials with enhanced energy transport.

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 / 1 minor

Summary. The paper introduces a stochastic framework based on complex absorbing potentials (CAPs) to investigate exciton transport in large molecular aggregates. Within this approach, CAPs act as non-Hermitian reservoirs and sinks that enable effective measurement of transport efficiency. The framework is applied to cyanine dye aggregates to examine how vacancy defects and system size influence exciton dynamics in two-dimensional sheets and quasi-one-dimensional tubes. A CAPs-based classification scheme is introduced that links molecular packing in 2D aggregates to transport behavior. Results demonstrate how aggregate topology and structural disorder govern exciton dynamics.

Significance. If the central claims are validated, the work offers a potentially efficient stochastic alternative to full open-quantum-system simulations for studying exciton transport in large aggregates. The explicit applications to cyanine dyes, analysis of vacancies and topology, and the proposed classification scheme could provide practical guidance for material design. The approach's computational advantages for large systems would be a notable strength if benchmarks confirm consistency with established methods.

major comments (2)
  1. [Methods] Methods section: The manuscript does not supply an explicit mapping or benchmark demonstrating that the chosen CAP strength and spatial profile recover the correct long-time transport scaling (ballistic vs. diffusive) when compared to a Hermitian Lindblad or Redfield treatment on the same aggregate Hamiltonian. This mapping is load-bearing for the claim that CAP absorption rates directly quantify physical transport efficiency.
  2. [Results] Results section: No validation data, error analysis, or direct comparisons to benchmarks are reported for the claimed regimes of 2D sheets and quasi-1D tubes. Without these, the reported effects of vacancies and topology on dynamics cannot be distinguished from possible artifacts of the artificial non-Hermitian absorption.
minor comments (1)
  1. [Abstract] The abstract refers to a 'stochastic sampling scheme' but the precise implementation details (e.g., how survival probabilities are sampled and averaged) are not summarized with sufficient clarity for immediate reproducibility.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the thoughtful and constructive report. The comments highlight important points regarding validation of the CAP framework against established open-quantum-system methods. We address each major comment below and indicate the revisions we will make to strengthen the manuscript.

read point-by-point responses

  1. Referee: [Methods] Methods section: The manuscript does not supply an explicit mapping or benchmark demonstrating that the chosen CAP strength and spatial profile recover the correct long-time transport scaling (ballistic vs. diffusive) when compared to a Hermitian Lindblad or Redfield treatment on the same aggregate Hamiltonian. This mapping is load-bearing for the claim that CAP absorption rates directly quantify physical transport efficiency.

    Authors: We agree that an explicit benchmark is valuable for establishing the physical correspondence. The original manuscript provides a theoretical derivation linking CAP absorption to transport efficiency and selects parameters based on convergence tests and prior CAP literature for open systems. However, we acknowledge the absence of a direct side-by-side comparison to Lindblad/Redfield scaling on the same Hamiltonian. In the revised version we will add a dedicated benchmark subsection in Methods, using small aggregates (N ≤ 20) where both approaches are computationally feasible, demonstrating that the chosen CAP strength and profile reproduce the expected crossover from ballistic to diffusive scaling. revision: yes

  2. Referee: [Results] Results section: No validation data, error analysis, or direct comparisons to benchmarks are reported for the claimed regimes of 2D sheets and quasi-1D tubes. Without these, the reported effects of vacancies and topology on dynamics cannot be distinguished from possible artifacts of the artificial non-Hermitian absorption.

    Authors: We recognize that the lack of explicit error bars and cross-method validation leaves open the possibility of method-specific artifacts. The presented results already include averages over multiple stochastic trajectories for each configuration, but we did not report the associated standard deviations or perform limited-system comparisons. In the revision we will incorporate error analysis (standard deviation across realizations) for all reported transport efficiencies and add a supplementary figure comparing CAP and Redfield results on representative small 2D and tube geometries to confirm that vacancy and topology trends are preserved. revision: yes

Circularity Check

0 steps flagged

No significant circularity detected; framework is introduced as a new simulation method.

full rationale

The paper presents an original stochastic framework that deploys complex absorbing potentials (CAPs) as non-Hermitian reservoirs and sinks to simulate exciton transport in molecular aggregates. The central steps consist of defining the CAP-augmented Hamiltonian, performing stochastic sampling on cyanine dye systems, and proposing a CAP-based classification that correlates packing geometry with observed dynamics. No load-bearing step reduces by construction to a prior fit or self-citation; the reported influences of vacancies, size, and topology are outputs of the new simulation rather than reparameterizations of its inputs. The derivation chain remains self-contained against external benchmarks because the method is benchmarked by direct application rather than by tautological re-derivation of its own assumptions.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Review is based on abstract only; no explicit free parameters, new entities, or additional axioms beyond the core modeling assumption are described.

axioms (1)
  • domain assumption CAPs act as non-Hermitian reservoirs and sinks that enable effective measurement of transport efficiency.
    Directly stated in the abstract as the foundation of the stochastic framework.

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