AI 中文总结
研究针对量子蒙特卡罗方法中符号问题，通过旋转希尔伯特空间局部基使非对角矩阵元相位最小化来缓解，经在一维和二维晶格上对受挫海森堡反铁磁体测试，揭示更优基，能达更低温度，媲美先进数值链接簇展开。
AI 中文摘要
符号问题破坏了量子蒙特卡罗方法的多项式缩放。我们通过旋转希尔伯特空间的局部基来缓解这一问题，使旋转哈密顿量的非对角矩阵元的相位最小化。这些最小值与平均符号的最优值一致。我们在一维和二维枫叶晶格上对受挫海森堡反铁磁体的方法进行了基准测试。我们的方法在所有考虑的模型的大部分参数空间中揭示了具有改进符号的更有效基，使我们能够达到更低的温度，与我们直接比较的最先进数值链接簇展开相当。
英文摘要
The sign problem breaks the polynomial scaling of Quantum Monte Carlo methods. We alleviate it by rotation of the local basis of the Hilbert space, such that the phase of off-diagonal matrix elements of the rotated Hamiltonian is minimized. These minima coincide with optima of the average sign. We benchmark our method for frustrated Heisenberg antiferromagnets in one dimension and on the two-dimensional maple-leaf lattice. Our approach reveals more efficient bases with improved sign in a large part of the parameter space for all models considered, enabling us to reach lower temperatures, on par with state-of-the-art numerical linked cluster expansions which we directly compare to.
Comments27 pages, 13 figures
