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HL: Fachverband Halbleiterphysik

HL 31: Materials and Devices for Quantum Technology I

HL 31.2: Vortrag

Mittwoch, 11. März 2026, 15:15–15:30, POT/0251

Floquet theory for the quantum-to-classical crossover of light-matter models — •Beatriz Perez Gonzalez¹, Sigmund Kohler², and Mónica Benito¹ — ¹Institute of Physics (University of Augsburg), Augsburg, Germany — ²Instituto de Ciencia de Materiales de Madrid (ICMM-CSIC), Madrid, Spain

Rabi-type Hamiltonians, comprising either a time-periodic driving or a quantized electromagnetic field, have become ubiquitous across physics. Despite the well-established physics of both the semi-classical and quantum descriptions, when and how classical Floquet physics emerges from a fully quantum treatment remains the subject of active debate [1] and study [2].

We present a unified framework for the quantum-to-classical mapping, emphasizing the gauge-invariant formulation of the quantum Rabi Hamiltonian. This allows a systematic comparison of quasienergies, spectra, entanglement, and dynamics across high- and low-frequency regimes, and clarifies how Floquet frames correspond to gauge choices once photonic Fock states are interpreted as Fourier harmonics. We further assess the suitability of quantum high-frequency expansions and benchmark them against alternative methods for deriving effective Hamiltonians, including Schrieffer-Wolff transformations and projector-based approaches.

[1] Phys. Rev. Lett. 129, 183603 (2022); Phys. Rev. Research 2, 033033 (2020); [2] B. Perez-Gonzalez et al., Quantum 9, 1633 (2025); Comm. Phys. 7, 419 (2024)

Keywords: Light matter interaction; Floquet engineering; Cavity QED; Quantum to classical crossover