{
  "id": "oai:papers.qnfo.org:re-entry-of-non-markovian-boson-mediated-transport-into-light-harvesting-complex",
  "slug": "re-entry-of-non-markovian-boson-mediated-transport-into-light-harvesting-complex",
  "title": "Re‑Entry of Non‑Markovian Boson‑Mediated Transport into Light‑Harvesting Complexes: A Timescale‑Based Applicability Analysis",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "Photosynthetic antennae achieve near‑unity excitation‑energy‑transfer (EET) efficiency on sub‑picosecond timescales, yet modelers must decide whether to allocate expensive non‑Markovian boson‑mediated simulations or inexpensive Markovian dephasing master equations. Earlier applicability tests suffered from three defects: (i) a coupling range broader than experimentally reported values, (ii) a dimensionally inconsistent transfer‑time expression, and (iii) memory‑ratio windows derived from those errors. We assume excitonic coupling magnitude |V|∈[50,75] mathrmcm^-1 and site‑energy difference Δ∈[110,180] mathrmcm^-1 for the FMO BChl 3–4 dimer. and employ the dimensionally correct transfer‑time formula τ_T= fracΔ2π c V² . From this we obtain a transfer‑time interval 0.1038–0.3822 ps, a single‑hop trapping efficiency η=0.999001, and memory‑ratio windows R_fast∈[0.26,0.96] (fast bath τ_B=0.1 ps) and R_slow∈[2.6,9.6] (slow bath τ_B=1 ps). All realistic slow‑mode scenarios therefore lie in the non‑Markovian sector. We further derive a falsifiable scaling δΓ^*/Γ^*≈ R for the shift of the optimal dephasing rate when Rgtrsim0.5. The memory‑ratio rule thus provides a quantitative, analytically derived guideline for allocating computational effort in EET modelling.",
  "abstract_markdown": "Photosynthetic antennae achieve near‑unity excitation‑energy‑transfer (EET) efficiency on sub‑picosecond timescales, yet modelers must decide whether to allocate expensive non‑Markovian boson‑mediated simulations or inexpensive Markovian dephasing master equations. Earlier applicability tests suffered from three defects: (i) a coupling range broader than experimentally reported values, (ii) a dimensionally inconsistent transfer‑time expression, and (iii) memory‑ratio windows derived from those errors. We assume excitonic coupling magnitude $|V|\\in[50,75]\\;\\mathrm{cm^{-1}}$ and site‑energy difference $\\Delta\\in[110,180]\\;\\mathrm{cm^{-1}}$ for the FMO BChl 3–4 dimer. and employ the dimensionally correct transfer‑time formula  \n\\[\n\\tau_{T}= \\frac{\\Delta}{2\\pi c V^{2}} .\n\\]  \nFrom this we obtain a transfer‑time interval $0.1038\\text{–}0.3822\\;\\mathrm{ps}$, a single‑hop trapping efficiency $\\eta=0.999001$, and memory‑ratio windows $R_{\\mathrm{fast}}\\in[0.26,0.96]$ (fast bath $\\tau_{B}=0.1\\;\\mathrm{ps}$) and $R_{\\mathrm{slow}}\\in[2.6,9.6]$ (slow bath $\\tau_{B}=1\\;\\mathrm{ps}$). All realistic slow‑mode scenarios therefore lie in the non‑Markovian sector. We further derive a falsifiable scaling $\\delta\\Gamma^{*}/\\Gamma^{*}\\approx R$ for the shift of the optimal dephasing rate when $R\\gtrsim0.5$. The memory‑ratio rule thus provides a quantitative, analytically derived guideline for allocating computational effort in EET modelling.",
  "date": "2026-10-10",
  "first_published": "2026-10-10",
  "last_revised": "2026-10-25T10:11:03Z",
  "modified": "2026-10-25T10:11:03Z",
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  "url": "https://papers.qnfo.org/papers/re-entry-of-non-markovian-boson-mediated-transport-into-light-harvesting-complex",
  "license_url": "https://legal.qnfo.org/",
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  "sha256": "d2039df82649adae48f6cc51e930fb8c6aed0c273bcce677e403ff26b8cb04a2",
  "version_url": "https://papers.qnfo.org/papers/re-entry-of-non-markovian-boson-mediated-transport-into-light-harvesting-complex/v/2.10.0",
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    "creators": [
      {
        "name": "Rowan Brad Quni-Gudzinas",
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    "titles": [
      {
        "title": "Re‑Entry of Non‑Markovian Boson‑Mediated Transport into Light‑Harvesting Complexes: A Timescale‑Based Applicability Analysis"
      }
    ],
    "publisher": "QNFO",
    "publicationYear": "2026",
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    "dates": [
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        "date": "2026-10-10",
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        "description": "Photosynthetic antennae achieve near‑unity excitation‑energy‑transfer (EET) efficiency on sub‑picosecond timescales, yet modelers must decide whether to allocate expensive non‑Markovian boson‑mediated simulations or inexpensive Markovian dephasing master equations. Earlier applicability tests suffered from three defects: (i) a coupling range broader than experimentally reported values, (ii) a dimensionally inconsistent transfer‑time expression, and (iii) memory‑ratio windows derived from those errors. We assume excitonic coupling magnitude |V|∈[50,75] mathrmcm^-1 and site‑energy difference Δ∈[110,180] mathrmcm^-1 for the FMO BChl 3–4 dimer. and employ the dimensionally correct transfer‑time formula τ_T= fracΔ2π c V² . From this we obtain a transfer‑time interval 0.1038–0.3822 ps, a single‑hop trapping efficiency η=0.999001, and memory‑ratio windows R_fast∈[0.26,0.96] (fast bath τ_B=0.1 ps) and R_slow∈[2.6,9.6] (slow bath τ_B=1 ps). All realistic slow‑mode scenarios therefore lie in the non‑Markovian sector. We further derive a falsifiable scaling δΓ^*/Γ^*≈ R for the shift of the optimal dephasing rate when Rgtrsim0.5. The memory‑ratio rule thus provides a quantitative, analytically derived guideline for allocating computational effort in EET modelling.",
        "descriptionType": "Abstract"
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