{
  "id": "oai:papers.qnfo.org:phononic-crystal-scaffolds-as-frozen-floquet-drives-mapping-protein-vibrational-",
  "slug": "phononic-crystal-scaffolds-as-frozen-floquet-drives-mapping-protein-vibrational-",
  "title": "Phononic Crystal Scaffolds as Frozen Floquet Drives: Mapping Protein Vibrational Spectra to Ambient‑Temperature Quantum Transport",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "Ambient‑temperature quantum devices are presently constrained by uncontrolled thermal phonons, forcing designers to employ cryogenic cooling or energy‑intensive Floquet drives. A biological precedent exists in photosynthetic protein complexes, whose structured vibrational spectra enable environment‑assisted quantum transport (ENAQT) at 300 K. This work bridges the gap between static phononic engineering and active Floquet control by (i) deriving an exact isomorphism between a static phononic spectral density J(ω) and an equivalent periodic‑drive Hamiltonian, (ii) analytically evaluating ENAQT efficiency for a Lorentzian‑shaped J(ω) versus a white‑noise bath, and (iii) estimating geometric parameters of a two‑dimensional GaAs phononic crystal (PnC) that reproduces the target spectrum using data from fabricated MEMS resonators. The analysis yields a thermal‑conductance reduction factor R=2.5 (midpoint of the reported 2 - 3 enhancement) and predicts a projected ≈10\\% increase in ENAQT efficiency for a five‑site chain, under the stated assumption of a 10 % dephasing‑rate enhancement. A lattice constant of 1.27 mum is derived for the PnC, while a super‑lattice with period 200nm can fold higher‑order bands to the target protein frequency ≈1.5×10¹3Hz. The results imply that a passive phononic scaffold can replace active Floquet driving, reducing power consumption and fabrication complexity for graphene/h‑BN heterostructure quantum interconnects.",
  "abstract_markdown": "Ambient‑temperature quantum devices are presently constrained by uncontrolled thermal phonons, forcing designers to employ cryogenic cooling or energy‑intensive Floquet drives. A biological precedent exists in photosynthetic protein complexes, whose structured vibrational spectra enable environment‑assisted quantum transport (ENAQT) at 300 K. This work bridges the gap between static phononic engineering and active Floquet control by (i) deriving an exact isomorphism between a static phononic spectral density $J(\\omega)$ and an equivalent periodic‑drive Hamiltonian, (ii) analytically evaluating ENAQT efficiency for a Lorentzian‑shaped $J(\\omega)$ versus a white‑noise bath, and (iii) estimating geometric parameters of a two‑dimensional GaAs phononic crystal (PnC) that reproduces the target spectrum using data from fabricated MEMS resonators. The analysis yields a thermal‑conductance reduction factor $R=2.5$ (midpoint of the reported $2\\!-\\!3$ enhancement) and predicts a projected $\\approx10\\%$ increase in ENAQT efficiency for a five‑site chain, under the stated assumption of a 10 % dephasing‑rate enhancement. A lattice constant of $1.27\\,\\mu\\text{m}$ is derived for the PnC, while a super‑lattice with period $200\\,$nm can fold higher‑order bands to the target protein frequency $\\approx1.5\\times10^{13}\\,$Hz. The results imply that a passive phononic scaffold can replace active Floquet driving, reducing power consumption and fabrication complexity for graphene/h‑BN heterostructure quantum interconnects.",
  "date": "2026-10-20",
  "first_published": "2026-10-20",
  "last_revised": "2026-10-20T00:00:00Z",
  "modified": "2026-10-20T00:00:00Z",
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  "url": "https://papers.qnfo.org/papers/phononic-crystal-scaffolds-as-frozen-floquet-drives-mapping-protein-vibrational-",
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  "version_url": "https://papers.qnfo.org/papers/phononic-crystal-scaffolds-as-frozen-floquet-drives-mapping-protein-vibrational-/v/1.0.0",
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        "name": "Rowan Brad Quni-Gudzinas",
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    "titles": [
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        "title": "Phononic Crystal Scaffolds as Frozen Floquet Drives: Mapping Protein Vibrational Spectra to Ambient‑Temperature Quantum Transport"
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        "description": "Ambient‑temperature quantum devices are presently constrained by uncontrolled thermal phonons, forcing designers to employ cryogenic cooling or energy‑intensive Floquet drives. A biological precedent exists in photosynthetic protein complexes, whose structured vibrational spectra enable environment‑assisted quantum transport (ENAQT) at 300 K. This work bridges the gap between static phononic engineering and active Floquet control by (i) deriving an exact isomorphism between a static phononic spectral density J(ω) and an equivalent periodic‑drive Hamiltonian, (ii) analytically evaluating ENAQT efficiency for a Lorentzian‑shaped J(ω) versus a white‑noise bath, and (iii) estimating geometric parameters of a two‑dimensional GaAs phononic crystal (PnC) that reproduces the target spectrum using data from fabricated MEMS resonators. The analysis yields a thermal‑conductance reduction factor R=2.5 (midpoint of the reported 2 - 3 enhancement) and predicts a projected ≈10\\% increase in ENAQT efficiency for a five‑site chain, under the stated assumption of a 10 % dephasing‑rate enhancement. A lattice constant of 1.27 mum is derived for the PnC, while a super‑lattice with period 200nm can fold higher‑order bands to the target protein frequency ≈1.5×10¹3Hz. The results imply that a passive phononic scaffold can replace active Floquet driving, reducing power consumption and fabrication complexity for graphene/h‑BN heterostructure quantum interconnects.",
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