论文标题
矩阵乘积的一站时间依赖性变化原理方法中的动态发展的键二量：朝着非平衡开放量子动力学的有效仿真
Dynamically Evolving Bond-Dimensions within the one-site Time-Dependent-Variational-Principle method for Matrix Product States: Towards efficient simulation of non-equilibrium open quantum dynamics
论文作者
论文摘要
了解非马克维亚和非扰动开放系统中的紧急系统浴力相关性是理论上的挑战，它从矩阵产品状态（MPS）方法的应用中受益匪浅。在这里，我们提出了一种单位时间依赖性变量原理（1TDVP）方法的自动适应性变体，用于多体MPS波函数，其中局部键二维可以演变以捕获生长的生长 纠缠“飞行”。我们通过有效地检查每个动态时间段提前增加每个MPS键数的效果来实现这一目标，从而导致MPS可以动态和不均匀地重组自身，因为动力学的复杂性在跨时间和空间都会增长。这自然会导致更有效的仿真，卵形进行多次收敛运行的需求，并且正如我们所证明的那样，理想情况下适合典型的有限温度的“杂质”问题，这些问题描述了与多个环境相连的开放量子系统。
Understanding the emergent system-bath correlations in non-Markovian and non-perturbative open systems is a theoretical challenge that has benefited greatly from the application of Matrix Product State (MPS) methods. Here, we propose an autonmously adapative variant of the one-site Time-Dependent-Variational-Principle (1TDVP) method for many-body MPS wave-functions in which the local bond-dimensions can evolve to capture growing entanglement 'on the fly'. We achieve this by efficiently examining the effect of increasing each MPS bond-dimension in advance of each dynamic timestep, resulting in an MPS that can dynamically and inhomogeneously restructure itself as the complexity of the dynamics grows across time and space. This naturally leads to more efficient simulations, oviates the need for multiple convergence runs, and, as we demonstrate, is ideally suited to the typical, finite-temperature 'impurity' problems that describe open quantum system connected to multiple environments.
