论文标题
驯服量子噪声，用于有效的开放量子系统的低温模拟
Taming Quantum Noise for Efficient Low Temperature Simulations of Open Quantum Systems
论文作者
论文摘要
源自精确的Feynman-Vernon路径积分的运动层次方程（HEOM）是模拟嵌入在热环境中的开放量子系统的动力学的最强大的数值方法之一。但是，其适用性仅限于特定形式的光谱储层分布和相对升高的温度。在这里，我们解决了这个问题，并通过系统地聚类的高阶Matsubara杆等于优化的理性分解，从而在频率空间中引入了量子噪声的有效处理。这导致了HEOM的优雅扩展到任意温度和非常通用的水库，并结合效率，高准确性和长期稳定性。此外，该技术可以直接以诸如Green功能，随机和伪模式公式等替代方法实现。作为一种高度非平凡的应用，对于消失的温度下的亚欧马旋转玻色子模型，对志着关系的关系进行了定量验证，可以预测相关函数的长期衰减。
The hierarchical equations of motion (HEOM), derived from the exact Feynman-Vernon path integral, is one of the most powerful numerical methods to simulate the dynamics of open quantum systems that are embedded in thermal environments. However, its applicability is restricted to specific forms of spectral reservoir distributions and relatively elevated temperatures. Here we solve this problem and introduce an effective treatment of quantum noise in frequency space by systematically clustering higher order Matsubara poles equivalent to an optimized rational decomposition. This leads to an elegant extension of the HEOM to arbitrary temperatures and very general reservoirs in combination with efficiency, high accuracy and long-time stability. Moreover, the technique can directly be implemented in alternative approaches such as Green's function, stochastic, and pseudo-mode formulations. As one highly non-trivial application, for the sub-ohmic spin-boson model at vanishing temperature the Shiba relation is quantitatively verified which predicts the long-time decay of correlation functions.
