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  "slug": "classical-floquet-drives-from-quantized-cavity-fields-error-budgets-geometric-ph",
  "title": "Classical Floquet Drives from Quantized Cavity Fields: Error Budgets, Geometric Phases, Gauge Consistency, and Entanglement Bounds at Large Photon Number",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "Floquet engineering treats periodically driven quantum systems with classical time-periodic Hamiltonians, while cavity quantum electrodynamics (QED) treats the drive itself as a quantized field. The precise connection between the two descriptions beyond weak coupling has remained subtle. Building on the program of [1], in which the cavity field is represented in a large-photon-number phase basis so that the time-dependent Schrödinger equation of a classically driven system emerges as a controlled limit of the fully quantized dynamics, we supply a quantitative bridge with three components. First, we derive the effective classical drive amplitude Ω = 2g√N and its finite-photon-number corrections, showing that the classical limit is approached as a power law in the mean photon number n̄, not exponentially: the relative amplitude correction scales as 1/(2√n̄), bounded conservatively by 1/√n̄. [...]",
  "abstract_markdown": "Floquet engineering treats periodically driven quantum systems with classical time-periodic Hamiltonians, while cavity quantum electrodynamics (QED) treats the drive itself as a quantized field. The precise connection between the two descriptions beyond weak coupling has remained subtle. Building on the program of [1], in which the cavity field is represented in a large-photon-number phase basis so that the time-dependent Schrödinger equation of a classically driven system emerges as a controlled limit of the fully quantized dynamics, we supply a quantitative bridge with three components. First, we derive the effective classical drive amplitude Ω = 2g√N and its finite-photon-number corrections, showing that the classical limit is approached as a power law in the mean photon number n̄, not exponentially: the relative amplitude correction scales as 1/(2√n̄), bounded conservatively by 1/√n̄. [...]",
  "date": "2026-10-04",
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    "titles": [
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        "title": "Classical Floquet Drives from Quantized Cavity Fields: Error Budgets, Geometric Phases, Gauge Consistency, and Entanglement Bounds at Large Photon Number"
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        "description": "Floquet engineering treats periodically driven quantum systems with classical time-periodic Hamiltonians, while cavity quantum electrodynamics (QED) treats the drive itself as a quantized field. The precise connection between the two descriptions beyond weak coupling has remained subtle. Building on the program of [1], in which the cavity field is represented in a large-photon-number phase basis so that the time-dependent Schrödinger equation of a classically driven system emerges as a controlled limit of the fully quantized dynamics, we supply a quantitative bridge with three components. First, we derive the effective classical drive amplitude Ω = 2g√N and its finite-photon-number corrections, showing that the classical limit is approached as a power law in the mean photon number n̄, not exponentially: the relative amplitude correction scales as 1/(2√n̄), bounded conservatively by 1/√n̄. [...]",
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