周期驱动量子系统中的耗散：部分 secular 近似与热力学一致性
Dissipation in Periodically Driven Quantum Systems: Partial Secularization and Thermodynamic Consistency
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中文总结 AI 辅助
针对周期驱动开放量子系统的 Floquet-Born-Markov 主方程因完全 secular 近似产生非物理能流的问题，提出粗粒化主方程方法，通过与精确非 Markovian 模拟对比验证其有效性，为相关研究提供实用框架。
中文摘要 AI 辅助
周期驱动开放量子系统是量子热力学和量子控制的核心研究对象，这类系统通常采用 Floquet-Born-Markov 主方程描述，该方程的推导基于完全 secular 近似，且其热力学意义常被忽视。在本文中，我们表明这种强 secular 近似可能会对稳态能流产生非物理的预测。随后，我们证明主方程的粗粒化形式可以解决这些问题，同时产生完全正的动力学和一致的能流。粗粒化时间具有明确的物理意义，它定义了 Markovian 主方程描述周期驱动系统演化的时间分辨率。我们通过在典型例子中与精确非 Markovian 模拟进行比较，验证了我们方法的一致性和有效性：这些例子包括耦合到冷热热库的驱动二能级系统和三能级脉泽。我们的工作为正确应用周期驱动耗散系统中的 secular 近似，以及评估 GKSL 形式主方程的准确性提供了实用框架。
英文摘要
Periodically driven open quantum systems are central to quantum thermodynamics and quantum control. These systems are typically described using Floquet-Born-Markov master equations, derived with the use of a full secular approximation, and whose thermodynamic implications are often overlooked. In this context, we show that such a strong secular approximation may lead to unphysical predictions for steady state energy currents. We then demonstrate that a coarse-grained formulation of the master equation can regularize these issues while yielding completely positive dynamics and consistent energy currents. The coarse-graining time has a clear physical interpretation, as it defines the temporal resolution at which a Markovian master equation can describe the evolution of the periodically driven system. We show the consistency and validity of our approach by comparing to an exact non-Markovian simulation in paradigmatic examples: a driven two-level system and a three-level maser coupled to hot and cold thermal reservoirs. Our work provides a practical framework for correctly applying the secular approximation in periodically driven-dissipative systems and for assessing the accuracy of master equations of the GKSL form.
