Floquet physics from quantized light-matter interaction: geometric phases, gauge consistency, and entanglement
Abstract
Floquet engineering and cavity quantum electrodynamics represent two complementary descriptions of light-matter interaction, yet their precise connection beyond the small-coupling regime remains subtle. Here, by representing the cavity field in a large-photon-number phase basis, we show that the time-dependent Schrödinger equation of a classically driven system emerges directly from the fully quantized problem, without replacing the field by a classical trajectory or assuming a mean-field decoupling. This establishes a one-to-one correspondence between quasienergies and photon-sector-shifted quantum energies, while providing a direct quantum interpretation of the Floquet mean energy and Anandan phase. Because gauge invariance is exactly preserved at the level of the quantum Hamiltonian, the quantum-to-classical correspondence remains valid beyond perturbative and small-coupling regimes. We further show that light--matter entanglement is encoded in matter--harmonic correlations of the corresponding Floquet mode, thus identifying a semiclassical limit in which Floquet physics emerges without requiring the quantum field itself to approach a coherent classical state.
Related
- Quantized Transport in Floquet Topological Insulators
- Quantized pumping of boundary Hilbert space in chiral Floquet phases
- Measurement protocol for non-adiabatic geometric phases of Floquet states
- Coherent Entanglement between Massive Oscillators from the Quantized Gravitational Field
- Autonomous stabilization of many-body entanglement with Floquet Hamiltonians and weak measurement
BibTeX
@misc{perezgonzalez2026floquet,
title = {{Floquet physics from quantized light-matter interaction: geometric phases, gauge consistency, and entanglement}},
author = {Beatriz Pérez-González and Sigmund Kohler and Mónica Benito},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.21741},
eprint = {2609.21741},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.21741},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Floquet physics from quantized light-matter interaction: geometric phases, gauge consistency, and entanglement
AU - Beatriz Pérez-González
AU - Sigmund Kohler
AU - Mónica Benito
PY - 2026
DA - 2026/09/18
PB - arXiv
DO - 10.48550/arxiv.2609.21741
UR - https://arxiv.org/abs/2609.21741
AB - Floquet engineering and cavity quantum electrodynamics represent two complementary descriptions of light-matter interaction, yet their precise connection beyond the small-coupling regime remains subtle. Here, by representing the cavity field in a large-photon-number phase basis, we show that the time-dependent Schrödinger equation of a classically driven system emerges directly from the fully quantized problem, without replacing the field by a classical trajectory or assuming a mean-field decoupling. This establishes a one-to-one correspondence between quasienergies and photon-sector-shifted quantum energies, while providing a direct quantum interpretation of the Floquet mean energy and Anandan phase. Because gauge invariance is exactly preserved at the level of the quantum Hamiltonian, the quantum-to-classical correspondence remains valid beyond perturbative and small-coupling regimes. We further show that light--matter entanglement is encoded in matter--harmonic correlations of the corresponding Floquet mode, thus identifying a semiclassical limit in which Floquet physics emerges without requiring the quantum field itself to approach a coherent classical state.
ER -