论文标题
关于基于重新召开的量子蒙特卡洛的注释
Notes on resummation-based quantum Monte Carlo vis-à-vis sign-problematic Heisenberg models on canonical geometrically frustrated lattices
论文作者
论文摘要
We show here that a direct application of resummation-based quantum Monte Carlo (QMC) -- implemented recently for sign-problem-free SU(2)-symmetric Hamiltonians in the stochastic series expansion (SSE) framework -- does not reduce the sign problem for frustrated SU(2)-symmetric Heisenberg antiferromagnets on canonical geometrically frustrated lattices composed of triangular motifs such as the三角晶格。在此过程中，我们证明了基于重新召集的更新确实提供了基于SSE的QMC配置的千古化抽样，但是在使用标准SSE更新时可能是一个问题，但是，如前所述，受到符号问题的严格限制。这些音符中列出的概念可能在设计更好的几何沮丧磁铁算法时很有用。
We show here that a direct application of resummation-based quantum Monte Carlo (QMC) -- implemented recently for sign-problem-free SU(2)-symmetric Hamiltonians in the stochastic series expansion (SSE) framework -- does not reduce the sign problem for frustrated SU(2)-symmetric Heisenberg antiferromagnets on canonical geometrically frustrated lattices composed of triangular motifs such as the triangular lattice. In the process, we demonstrate that resummation-based updates do provide an ergodic sampling of the SSE-based QMC configurations which can be an issue when using the standard SSE updates, however, severely limited by the sign problem as previously mentioned. The notions laid out in these notes may be useful in the design of better algorithms for geometrically frustrated magnets.
