复杂量子动力学的模型无关模拟复杂性
Model-Independent Simulation Complexity of Complex Quantum Dynamics
摘要：
我们提出了一个模型无关的措施的基础上模拟复杂的量子动力学频闪马尔可夫动力学的动力学复杂性。经典信号处理的工具使我们能够推断出一个复杂的量子系统的希尔伯特空间维数下的时间无关的哈密顿通过脉冲询问。我们评估我们的模型独立的模拟复杂性（MISC）的自旋玻色子模型和模拟的三阶泵浦探测光谱数据激子输运耦合二聚体的振动能级。前者提供了在二能级系统的相干性和人口动力学的见解，而后者揭示了二聚体的单激发流形的尺寸。最后，我们探测激子输运的复杂性，在光捕获2（LH 2）和Fenna-Matthews-Olson（FMO）复合物使用最近的两个非线性超快光学光谱实验的数据。对于后者，我们做了一些与模型无关的推论，这些推论与模型特定的推论相称。这包括估计拟合实验数据所需的最少数量的参数并识别空间范围，即，在这个复杂的量子动力学中发生的量子态的离域大小。
英文摘要：
We present a model-independent measure of dynamical complexity based on simulating complex quantum dynamics using stroboscopic Markovian dynamics. Tools from classical signal processing enable us to infer the Hilbert space dimension of a complex quantum system evolving under a time-independent Hamiltonian via pulsed interrogation. We evaluate our model-independent simulation complexity (MISC) for the spin-boson model and simulated third-order pump-probe spectroscopy data for exciton transport in coupled dimers with vibrational levels. The former provides insights into coherence and population dynamics in the two-level system while the latter reveals the dimension of the singly-excited manifold of the dimer. Finally, we probe the complexity of excitonic transport in light harvesting 2 (LH2) and Fenna-Matthews-Olson (FMO) complexes using data from two recent nonlinear ultrafast optical spectroscopy experiments. For the latter we make some model-independent inferences that are commensurate with model-specific ones. This includes estimating the fewest number of parameters needed to fit the experimental data and identifying the spatial extent, i.e., delocalization size, of quantum states occurring in this complex quantum dynamics.
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