2+ 1维XY模型有限密度下符号问题的指数约化
Exponential reduction of the sign problem at finite density in the 2+1D XY model via contour deformations
摘要：
研究了变形积分流形上2+1维XY模型在非零化学势$μ$下的符号问题。我们调查的变形的几个建议，并大大提高了标准的重加权方法的严重性的标志问题。我们提出的数值证据表明，减少的符号问题是指数都在$μ^2$和空间体积。我们还提出了一种新的方法的优化过程的基础上重新加权，合理地降低其计算成本。
英文摘要：
We study the 2+1 dimensional XY model at nonzero chemical potential $μ$ on deformed integration manifolds, with the aim of alleviating its sign problem. We investigate several proposals for the deformations, and considerably improve on the severity of the sign problem with respect to standard reweighting approaches. We present numerical evidence that the reduction of the sign problem is exponential both in $μ^2$ and in the spatial volume. We also present a new approach to the optimization procedure based on reweighting, that sensibly reduces its computational cost.
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