{
  "id": "oai:papers.qnfo.org:thz-driven-synthetic-dimension-lattices-in-thin-film-lithium-niobate-thermal-pho",
  "slug": "thz-driven-synthetic-dimension-lattices-in-thin-film-lithium-niobate-thermal-pho",
  "title": "THz-Driven Synthetic-Dimension Lattices in Thin-Film Lithium Niobate: Thermal-Photon Occupation Limits and the Operating-Point Criterion at 3.5 THz",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "Synthetic-dimension photonics uses the frequency modes of a single optical waveguide as the sites of an artificial lattice, promising high-dimensional photonic circuits without three-dimensional fabrication. Progress toward interaction-capable synthetic lattices in thin-film lithium niobate (TFLN) is blocked by a specific gap: the electro-optic drive that couples adjacent frequency sites must operate at a frequency whose band is not flooded with thermal photons, and no published criterion fixes the temperature at which this holds. We derive the effective tight-binding Hamiltonian of a 1550 nm traveler photon in a TFLN waveguide driven at 3.5 THz through the Pockels effect, obtaining a hopping rate $J = 36.06$ GHz for a drive field of 10⁷ V/m under stated device assumptions. We evaluate the Bose-Einstein thermal occupation at 3.5 THz: $n = 1.333$ at 300 K but $n = 0.1396$ at 80 K, a 9.55× reduction, because hν/k_B = 167.9 K exceeds the 80 K thermal energy by a factor of 2.10. Propagating these occupancies through a per-hop scattering model with an assumed branching ratio of 10^-3, transport fidelity over 100 lattice hops is 0.986 at 80 K versus 0.875 at 300 K. The results establish a concrete thermodynamic operating criterion — drive frequency above roughly 2.4 k_B T/h — and identify the 3.5 THz source power, not the lattice physics, as the binding engineering constraint.",
  "abstract_markdown": "Synthetic-dimension photonics uses the frequency modes of a single optical waveguide as the sites of an artificial lattice, promising high-dimensional photonic circuits without three-dimensional fabrication. Progress toward interaction-capable synthetic lattices in thin-film lithium niobate (TFLN) is blocked by a specific gap: the electro-optic drive that couples adjacent frequency sites must operate at a frequency whose band is not flooded with thermal photons, and no published criterion fixes the temperature at which this holds. We derive the effective tight-binding Hamiltonian of a 1550 nm traveler photon in a TFLN waveguide driven at 3.5 THz through the Pockels effect, obtaining a hopping rate $J = 36.06$ GHz for a drive field of $10^{7}$ V/m under stated device assumptions. We evaluate the Bose-Einstein thermal occupation at 3.5 THz: $n = 1.333$ at 300 K but $n = 0.1396$ at 80 K, a $9.55\\times$ reduction, because $h\\nu/k_B = 167.9$ K exceeds the 80 K thermal energy by a factor of 2.10. Propagating these occupancies through a per-hop scattering model with an assumed branching ratio of $10^{-3}$, transport fidelity over 100 lattice hops is 0.986 at 80 K versus 0.875 at 300 K. The results establish a concrete thermodynamic operating criterion — drive frequency above roughly $2.4\\,k_B T/h$ — and identify the 3.5 THz source power, not the lattice physics, as the binding engineering constraint.",
  "date": "2026-10-19",
  "first_published": "2026-10-19",
  "last_revised": "2026-10-19T00:00:00Z",
  "modified": "2026-10-19T00:00:00Z",
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  "language": "en",
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  "peer_review_status": "Not independently peer-reviewed",
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  "doi": null,
  "doi_url": null,
  "url": "https://papers.qnfo.org/papers/thz-driven-synthetic-dimension-lattices-in-thin-film-lithium-niobate-thermal-pho",
  "license_url": "https://legal.qnfo.org/",
  "license_spdx": null,
  "sha256": "2e8d3159e0d38e16ee0e4f4c368f6d344c59b4270791c282da837f43f8fd18b3",
  "version_url": "https://papers.qnfo.org/papers/thz-driven-synthetic-dimension-lattices-in-thin-film-lithium-niobate-thermal-pho/v/1.0.0",
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    "creators": [
      {
        "name": "Rowan Brad Quni-Gudzinas",
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    "titles": [
      {
        "title": "THz-Driven Synthetic-Dimension Lattices in Thin-Film Lithium Niobate: Thermal-Photon Occupation Limits and the Operating-Point Criterion at 3.5 THz"
      }
    ],
    "publisher": "QNFO",
    "publicationYear": "2026",
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        "description": "Synthetic-dimension photonics uses the frequency modes of a single optical waveguide as the sites of an artificial lattice, promising high-dimensional photonic circuits without three-dimensional fabrication. Progress toward interaction-capable synthetic lattices in thin-film lithium niobate (TFLN) is blocked by a specific gap: the electro-optic drive that couples adjacent frequency sites must operate at a frequency whose band is not flooded with thermal photons, and no published criterion fixes the temperature at which this holds. We derive the effective tight-binding Hamiltonian of a 1550 nm traveler photon in a TFLN waveguide driven at 3.5 THz through the Pockels effect, obtaining a hopping rate $J = 36.06$ GHz for a drive field of 10⁷ V/m under stated device assumptions. We evaluate the Bose-Einstein thermal occupation at 3.5 THz: $n = 1.333$ at 300 K but $n = 0.1396$ at 80 K, a 9.55× reduction, because hν/k_B = 167.9 K exceeds the 80 K thermal energy by a factor of 2.10. Propagating these occupancies through a per-hop scattering model with an assumed branching ratio of 10^-3, transport fidelity over 100 lattice hops is 0.986 at 80 K versus 0.875 at 300 K. The results establish a concrete thermodynamic operating criterion — drive frequency above roughly 2.4 k_B T/h — and identify the 3.5 THz source power, not the lattice physics, as the binding engineering constraint.",
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