不动点量子蒙特卡罗
Fixed Point Quantum Monte Carlo
摘要：
提出了一种研究多体量子物理平衡性质的新方法。我们的方法的灵感来自密度矩阵量子蒙特卡罗，并结合了新的关键功能。首先，动力学转移到拉普拉斯表示，其中可以使用模拟步骤导出和求解精确方程，该模拟步骤与大多数Monte Carlo方法不同，不是先验物理界。此外，产卵事件是根据量子主方程的两过程随机解来制定的，这种形式在处理密度矩阵时特别有用。最后，这是一个相互作用的图片，其中的自由部分是准确的积分和收敛速度可以大大提高，如果相互作用参数是小的。我们基准我们的方法应用于两个案例研究在凝聚态物理，显示其准确性，并进一步讨论其效率。
英文摘要：
We present a new approach to the study of equilibrium properties in many-body quantum physics. Our method takes inspiration from Density Matrix Quantum Monte Carlo and incorporates new crucial features. First of all, the dynamics is transferred to the Laplace representation where an exact equation can be derived and solved using a simulation-step that, unlike most Monte Carlo methods, is not a priori physically bounded. Moreover, the spawning events are formulated in terms of two-process stochastic unravellings of quantum master equations, a formalism that is particularly useful when working with density matrices. And last, this is equivalent to an interaction picture, where the free part is integrated exactly and the convergence rate can be greatly increased if the interaction parameter is small. We benchmark our method by applying it to two case-studies in condensed matter physics, show its accuracy and further discuss its efficiency.
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