Density of states approach to dense quantum systems
Density of states approach to dense quantum systems
复制标题
稠密量子系统的态密度方法
DOI：
10.1103/physrevd.90.094502
复制
发表时间：
2014
影响因子：
5
通讯作者：
B. Lucini
中科院分区：
文献类型：
--
作者：
K. Langfeld;B. Lucini
我们开发了一种第一原理广义态密度方法，用于研究具有复杂作用的数值量子场论。作为概念证明，我们表明，通过我们的方法，我们可以在有限密度下以数值方式解决 $Z_3$ 自旋模型的强符号问题。我们的结果通过与所考虑的模型对偶的理论的标准模拟得到证实，该模型不存在符号问题。我们的方法为冷密集量子系统的从头开始模拟开辟了新的视角，特别是有限密度物质的杨-米尔斯理论，基于蒙特卡罗的重要性采样无法产生足够准确的结果。
We develop a first-principle generalised density of state method for studying numerically quantum field theories with a complex action. As a proof of concept, we show that with our approach we can solve numerically the strong sign problem of the $Z_3$ spin model at finite density. Our results are confirmed by standard simulations of the theory dual to the considered model, which is free from a sign problem. Our method opens new perspectives on ab initio simulations of cold dense quantum systems, and in particular of Yang-Mills theories with matter at finite densities, for which Monte Carlo based importance sampling are unable to produce sufficiently accurate results.