作者：Wei-Xuan Chang Zi-Xiang Li
在这里，我们开发了一种新的投影量子蒙特卡罗（QMC）模拟方案，将无偏零温度（投影）行列式QMC和基于Gutzwiller投影波函数的变分蒙特卡罗相结合，称为“Gutzwille投影QMC”。数值结果表明，采用具有最小能量的Gutzwiller投影试验波函数大大加快了计算结果的收敛速度，从而大大减少了模拟中的计算时间。更值得注意的是，我们给出了一个例子，即在Gutzwiller项目QMC中，符号问题得到了极大的缓解，尤其是在符号问题严重的情况下。因此，我们相信Gutzwiller投影QMC为提高相互作用费米子系统QMC模拟的效率和缓解符号问题开辟了一条新的途径。
Here we develop a new scheme of projective quantum Monte-Carlo (QMC)simulation combining unbiased zero-temperature (projective) determinant QMC andvariational Monte-Carlo based on Gutzwiller projection wave function, dubbed as“Gutzwiller projection QMC”. The numerical results demonstrate thatemployment of Gutzwiller projection trial wave function with minimum energystrongly speed up the convergence of computational results, thus tremendouslyreducing computational time in the simulation. More remarkably, we present anexample that sign problem is enormously alleviated in the Gutzwiller projectionQMC, especially in the regime where sign problem is severe. Hence, we believethat Gutzwiller projection QMC paves a new route to improving the efficiency,and alleviating sign problem in QMC simulation on interacting fermionicsystems.
论文链接：http://arxiv.org/pdf/2303.13403v1
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