论文标题
相互作用的费米模型中无渐近标志
Asymptotic sign free in interacting fermion models
论文作者
论文摘要
作为一种本质上悬浮的方法，量子蒙特卡洛（QMC）对于理解物质相关阶段至关重要。不幸的是，在模拟相互作用的费米昂模型时，它通常会遇到臭名昭著的标志问题。在这里，我们首次显示存在相互作用的费米昂模型，其符号问题对于较大的系统尺寸而言变得不那么严重，最终在热力学极限中消失，我们将其称为“无渐近符号”。对于各种相互作用的模型，我们在确定性QMC中证明了渐近符号。此外，基于类似统一的组的思想，我们提出了对无渐近标志特征的启发式理解。我们认为，渐近标志行为可能会散发出新的灯光，以加深我们对标志问题的理解。更重要的是，它可以提供一种有希望的方法来解密相关模型中有趣的物理学，而这些模型通常认为QMC无法访问。
As an intrinsically-unbiased approach, quantum Monte Carlo (QMC) is of vital importance in understanding correlated phases of matter. Unfortunately, it often suffers notorious sign problem when simulating interacting fermion models. Here, we show for the first time that there exist interacting fermion models whose sign problem becomes less severe for larger system sizes and eventually disappears in the thermodynamic limit, which we dub as "asymptotic sign free". We demonstrate asymptotically-free sign in determinant QMC for various interacting models. Moreover, based on renormalization-group-like ideas we propose a heuristic understanding of the feature of asymptotic sign free. We believe that asymptotic sign free behavior could shed new lights to deepening our understanding of sign problem. More importantly, it can provide a promising way to decipher intriguing physics in correlated models which were conventionally thought not accessible by QMC.
