具有大非耦合子空间的非马尔可夫开放量子系统的过程张量模拟
Process tensor simulations of non-Markovian open quantum systems with large uncoupled subspaces
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中文总结 AI 辅助
本文提出结合泰勒展开的PT-MPO方法，将非马尔可夫开放量子系统模拟复杂度从$O(d^6)$降至$O(d^3)$，支持数百态的高效模拟，适用于多模腔QED系统。
中文摘要 AI 辅助
矩阵乘积算子表示中的过程张量（PT-MPOs）是计算开放量子系统时间演化和多时间关联的强大工具。尽管在计算更大系统维度的过程张量方面已取得诸多进展，但后续系统传播的数值成本通常按 $\mathcal{O}(d^6)$ 缩放，这使得PT-MPO方法对于维度超过几十的系统变得极其昂贵。在此，我们展示了当仅部分系统态与环境耦合时，如何高效使用PT-MPO方法，以及如何与泰勒展开方法结合，将数值复杂度降低至 $\mathcal{O}(d^3)$。我们证明这些方法能够实现对具有数百个态的系统的高效模拟。这对于具有多模式的固态腔量子电动力学（cavity-QED）系统，或通过将传感器系统耦合到感兴趣系统来计算频率滤波关联函数时尤为重要。
英文摘要
Process tensors in matrix product operator representation (PT-MPOs) are a powerful tool to calculate the temporal evolution and multi-time correlations of open quantum systems. While much progress has been made in making the calculation of process tensors for larger system dimensions possible, the numerical cost of the subsequent propagation of the system typically scales as $\mathcal{O}(d^6)$, which renders PT-MPO methods prohibitively expensive for system dimensions above several dozens. Here, we show how PT-MPO methods can be used efficiently when only some of the system states couple to the environment, and how combination with a Taylor expansion method allows for a reduction of the numerical complexity down to $\mathcal{O}(d^3)$. We show that these methods enable efficient simulations of systems with several hundreds of states. This is particularly relevant for solid-state cavity-QED systems with multiple modes, or when calculating frequency-filtered correlation functions by coupling sensor systems to the system of interest.
发表机构
- TU Dortmund（多特蒙德工业大学）
机构由 AI 辅助整理，请以论文原文为准。
