论文标题
从弱到强：扰动系列的限制外推，应用稀释费米系统
From weak to strong: constrained extrapolation of perturbation series with applications to dilute Fermi systems
论文作者
论文摘要
我们开发一种方法，该方法使用截断阶依赖性的重新扩展，这些重新扩展受到通用强耦合信息的约束，将扰动序列推送到非扰动制度。该方法首先针对零维模型场理论进行基准测试，然后在一个和三个维度上应用于稀释的费米气体。总体而言，在这些示例中，我们的方法明显优于帕德和鲍雷尔的外推。对于重新膨胀形式的变化，三维费米气体的基态能量的结果是可靠的，并且与整个BCS策略及其他地区的量子蒙特卡洛模拟很好地比较。
We develop a method that uses truncation-order-dependent re-expansions constrained by generic strong-coupling information to extrapolate perturbation series to the nonperturbative regime. The method is first benchmarked against a zero-dimensional model field theory and then applied to the dilute Fermi gas in one and three dimensions. Overall, our method significantly outperforms Padé and Borel extrapolations in these examples. The results for the ground-state energy of the three-dimensional Fermi gas are robust with respect to changes of the form of the re-expansion and compare well with quantum Monte Carlo simulations throughout the BCS regime and beyond.
