论文标题

系统性的大风味ftwa方法用于哈伯德模型中的互动淬火

Systematic large flavor fTWA approach to interaction quenches in the Hubbard model

论文作者

Osterkorn, Alexander, Kehrein, Stefan

论文摘要

我们使用最近引入的费米子截短的Wigner近似(FTWA)研究了在二维Hubbard模型中相互作用淬灭之后的非平衡动力学。为了以系统的方式评估该方法的有效性范围,我们将带有费米恩退化$ n $的SU($ n $)Hubbard模型视为天然的半经典扩展参数。使用数值和扰动分析方法,我们表明,FTWA至少至少在prethermalization动力学之前是精确的。我们讨论了该制度之外的方法的局限性。

We study the nonequilibrium dynamics after an interaction quench in the two-dimensional Hubbard model using the recently introduced fermionic truncated Wigner approximation (fTWA). To assess the range of validity of the method in a systematic way, we consider the SU($N$) Hubbard model with the fermion degeneracy $N$ as a natural semiclassical expansion parameter. Using both a numerical and a perturbative analytical approach we show that fTWA is exact at least up to and including the prethermalization dynamics. We discuss the limitations of the method beyond this regime.

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