A test on analytic continuation of thermal imaginary-time data

作者:Burnier Y*; Laine M; Mether L
来源:European Physical Journal C, 2011, 71(4): 1619.
DOI:10.1140/epjc/s10052-011-1619-0

摘要

Some time ago, Cuniberti et al. have proposed a novel method for analytically continuing thermal imaginary-time correlators to real time, which requires no model input and should be applicable with finite-precision data as well. Given that these assertions go against common wisdom, we report on a naive test of the method with an idealized example. We do encounter two problems, which we spell out in detail; this implies that systematic errors are difficult to quantify. On a more positive note, the method is simple to implement and allows for an empirical recipe by which a reasonable qualitative estimate for some transport coefficient may be obtained, if statistical errors of an ultraviolet-subtracted imaginary-time measurement can be reduced to roughly below the per mille level.

  • 出版日期2011-4