AI 中文总结
研究由外部时间周期力驱动的开放量子系统动力学，结合弗洛凯理论与无时间卷积投影算子技术推导出主方程，以驱动自旋 - 玻色子系统为例证明其能描述强非马尔可夫效应，揭示了记忆效应中基于迹距离的非马尔可夫性度量峰值与准能量交叉的关系。
AI 中文摘要
我们研究由外部时间周期力驱动的开放量子系统的动力学。结合弗洛凯理论和无时间卷积投影算子技术，我们推导了一个时间局部量子主方程，它精确考虑了周期驱动，在耦合强度二阶处理系统 - 环境相互作用且不进行马尔可夫近似。所得的约化密度矩阵运动方程称为弗洛凯无时间卷积主方程。以驱动自旋 - 玻色子系统为例，我们证明该主方程能够描述强非马尔可夫效应，在马尔可夫极限下得到弗洛凯 - 林德布拉德主方程。这种驱动耗散系统中记忆效应的一个特征是基于迹距离的非马尔可夫性度量作为驱动幅度函数出现尖锐峰值，这可追溯到准能量交叉，通过准能量诱导的耗散解耦机制导致几乎退相干保护的子空间。
英文摘要
We study the dynamics of open quantum systems driven by an external time-periodic force. Combining Floquet theory and the time-convolutionless projection operator technique we derive a time-local quantum master equation which exactly takes into account the periodic driving, while treating the system-environment interaction within second order in the coupling strength without performing the Markov approximation. The resulting equation of motion for the reduced density matrix is called Floquet time-convolutionless master equation. Employing the example of the driven spin-boson system, we demonstrate that this master equation is capable of describing strong non-Markovian effects, while yielding the Floquet-Lindblad master equation in the Markovian limit. A characteristic feature of memory effects in such driven dissipative systems is the emergence of sharp peaks of the trace-distance based non-Markovianity measure as a function of the driving amplitude, which can be traced back to quasienergy crossings leading to almost decoherence-protected subspaces through a quasienergy-induced dissipative decoupling mechanism.
Comments12 pages, 2 figures
