由量子化光-物质相互作用产生的Floquet物理：几何相位、规范一致性与纠缠
Floquet physics from quantized light-matter interaction: geometric phases, gauge consistency, and entanglement
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中文总结 AI 辅助
本文通过大光子数相位基表示腔场，证明经典驱动系统的薛定谔方程直接从量子化问题涌现，建立准能量与量子能量的一一对应，并揭示光-物质纠缠编码于Floquet模式关联中。
中文摘要 AI 辅助
Floquet工程与腔量子电动力学代表了光-物质相互作用的两种互补描述，然而它们在超出小耦合区域之外的精确联系仍然微妙。在此，通过在大光子数相位基中表示腔场，我们展示了经典驱动系统的时间依赖薛定谔方程直接从完全量子化问题中涌现，无需用经典轨迹替代场或假设平均场解耦。这在准能量与光子扇区移动的量子能量之间建立了一一对应关系，同时为Floquet平均能量和Anandan相位提供了直接的量子解释。由于规范不变性在量子哈密顿量层面被精确保持，量子到经典的对应在微扰和小耦合区域之外仍然有效。我们进一步表明，光-物质纠缠被编码在相应Floquet模式的物质-谐振子关联中，从而确定了一个半经典极限，在该极限中Floquet物理的涌现并不要求量子场本身接近相干经典态。
英文摘要
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.
发表机构
- University of Augsburg（奥格斯堡大学）
- CSIC（西班牙国家研究委员会）
- Instituto de Ciencia de Materiales de Madrid (ICMM)（马德里材料科学研究所）
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