量子场量子蒙特卡罗方法在键断裂中的应用
Bond breaking with auxiliary-field quantum Monte Carlo
摘要：
键拉伸模拟不同水平的电子相关性，并提供了一个具有挑战性的测试平台，近似多体计算方法。使用最近开发的无相位相干场量子蒙特卡罗（AF QMC）方法，我们研究了键的伸缩在研究良好的分子BH和N $_2$，并在H $_{50}$链。为了控制符号/相位问题，无相位AF QMC方法用依赖于试验波函数的近似相位条件来约束空间场路径积分中的路径。无相位AF QMC方法采用非限制Hartree-Fock（UHF）的单Slater行列式作为试波函数，在绘制势能曲线时，总体精度和行为一致性优于耦合簇CCSD（T）方法。在BH和N $_2$中，我们还研究了多组态自洽场（MCSCF）计算中多行列式试探波函数的使用。增加计算成本与增益的统计和系统的准确性进行检查。用这样的试验波函数，在平衡和离解极限之间的整个区域内获得了极好的结果。
英文摘要：
Bond stretching mimics different levels of electron correlation and provides a challenging testbed for approximate many-body computational methods. Using the recently developed phaseless auxiliary-field quantum Monte Carlo (AF QMC) method, we examine bond stretching in the well-studied molecules BH and N$_2$, and in the H$_{50}$ chain. To control the sign/phase problem, the phaseless AF QMC method constrains the paths in the auxiliary-field path integrals with an approximate phase condition that depends on a trial wave function. With single Slater determinants from unrestricted Hartree-Fock (UHF) as trial wave function, the phaseless AF QMC method generally gives better overall accuracy and a more uniform behavior than the coupled cluster CCSD(T) method in mapping the potential-energy curve. In both BH and N$_2$, we also study the use of multiple-determinant trial wave functions from multi-configuration self-consistent-field (MCSCF) calculations. The increase in computational cost versus the gain in statistical and systematic accuracy are examined. With such trial wave functions, excellent results are obtained across the entire region between equilibrium and the dissociation limit.
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