线性化辅助场蒙特卡罗：费米子符号的有效采样
Linearized Auxiliary fields Monte Carlo: efficient sampling of the fermion sign
摘要：
本文介绍了一种结合格点格林函数蒙特卡罗（LGFMC）和辅助场技术（AFQMC）的方法，并使我们能够精确计算有限团簇上U<~ 4 t的哈伯德模型的基态性质.由于LGFMC得到无偏零温度的结果，不受所谓的特罗特近似的虚时间传播子exp（- H t）。另一方面，AFQMC形式主义产生了一个非常快的收敛在t之前的费米子符号问题变得令人望而却步。作为第一个应用程序，我们报告的基态能量在哈伯德模型在U/t=4多达一百个网站。
英文摘要：
We introduce a method that combines the power of both the lattice Green function Monte Carlo (LGFMC) with the auxiliary field techniques (AFQMC), and allows us to compute exact ground state properties of the Hubbard model for U<~ 4t on finite clusters. Thanks to LGFMC one obtains unbiased zero temperature results, not affected by the so called Trotter approximation of the imaginary time propagator exp(- H t). On the other hand the AFQMC formalism yields a remarkably fast convergence in t before the fermion sign problem becomes prohibitive. As a first application we report ground state energies in the Hubbard model at U/t=4 with up to one hundred sites.
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