AI 中文总结
该研究构建非旋波近似的Floquet-Markov广义主方程，对比时不变修饰基主方程，揭示强驱动下耗散的Floquet特性，为识别需Floquet一致耗散的区域提供诊断。
AI 中文摘要
周期性驱动量子系统通常采用基于未驱动哈密顿量本征基构建的主方程进行建模，这隐含假设环境耗散即使在强时周期驱动下也与静态能量跃迁耦合。该近似在弱驱动或近共振驱动之外的有效性仍知之甚少。为满足对更自洽量子理论方法的需求，我们在准能基中构建了非旋波近似的Floquet-Markov广义主方程（F-GME），将相互作用诱导的（内部）和驱动诱导的（外部）非微扰修饰置于同等地位。随后，我们研究了两个最简驱动开放量子系统中的耗散——一个简谐驱动的二能级系统和一个简谐驱动的耦合二能级系统，二者均与马尔可夫环境弱耦合。将F-GME与时不变修饰基主方程对比，我们发现即使对于平坦环境谱密度和弱耗散，两种方法也可产生定性不同的稳态布居数和发射光谱。我们将耗散分解为通过Floquet扩展空间准能通道衰减的驱动辅助边带过程，并证明这些通道可通过非旋波耦合杂化为集体Floquet-Liouville模式，该模式决定了可观测的光谱共振。此分析表明，时不变耗散描述会通过将准能分辨的衰减通道坍缩为静态能隙，错误地加权多光子Floquet跃迁。F-GME框架为识别需采用Floquet一致耗散的区域提供了系统诊断，并阐明了常用主方程方法之间差异的物理起源。
英文摘要
Periodically driven quantum systems are commonly modeled using master equations constructed in the eigenbasis of an undriven Hamiltonian, implicitly assuming that environmental dissipation couples to static energy transitions even under strong time-periodic driving. The validity of this approximation beyond weak or near-resonant driving remains poorly understood. To address the need for a more self-consistent quantum theory approach, we formulate a nonsecular Floquet--Markov generalized master equation (F-GME) in the quasienergy basis, treating interaction-induced (internal) and drive-induced (external) nonperturbative dressing on an equal footing. We subsequently investigate dissipation in two minimal driven open quantum systems---a harmonically driven two-level system and a harmonically driven coupled-two-level-system---each weakly coupled to a Markovian bath. Comparing the F-GME to a time-independent dressed-basis master equation, we show that even for a flat-bath spectral density and weak dissipation, the two approaches can yield qualitatively different steady-state populations and emission spectra. We resolve dissipation into drive-assisted sideband processes decaying via Floquet extended-space quasienergy channels, and show these channels can hybridize through nonsecular couplings into collective Floquet--Liouville modes governing observable spectral resonances. This analysis demonstrates that time-independent dissipative descriptions can incorrectly weight multiphoton Floquet transitions by collapsing quasienergy-resolved decay pathways into static energy gaps. The F-GME framework provides a systematic diagnostic for identifying regimes where Floquet-consistent dissipation is essential and clarifies the physical origin of discrepancies between commonly used master-equation approaches.
Comments63 pages, 9 figures, 2 tables
