论文标题
用于多体扰动扩展的量子准蒙特卡洛技术
Quantum Quasi-Monte Carlo Technique for Many-Body Perturbative Expansions
论文作者
论文摘要
高阶扰动理论已经看到了量子多体系统的受控计算的最新复兴，即使在强耦合下也是如此。我们使用低静止序列适应此问题的整合方法。他们的表现极高，最先进的图形蒙特卡洛。在实际应用中，我们显示了几个数量级的加速，缩放量的速度速度为$ 1/n $的样本号$ n $；蒙特卡洛中的参数速度比$ 1/\ sqrt {n} $快。我们用量子点中的近野脊的解决方案说明了我们的技术，在那里它允许大量参数扫描。
High order perturbation theory has seen an unexpected recent revival for controlled calculations of quantum many-body systems, even at strong coupling. We adapt integration methods using low-discrepancy sequences to this problem. They greatly outperform state-of-the-art diagrammatic Monte Carlo. In practical applications, we show speed-ups of several orders of magnitude with scaling as fast as $1/N$ in sample number $N$; parametrically faster than $1/\sqrt{N}$ in Monte Carlo. We illustrate our technique with a solution of the Kondo ridge in quantum dots, where it allows large parameter sweeps.
