哈伯德模型中相互作用淬火的大味道 fTWA 系统方法

IF 2 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-08-27 DOI:10.1088/1751-8121/ad6f7a

Alexander Osterkorn, Stefan Kehrein

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引用次数: 0

摘要

我们利用最近引入的费米子截断维纳近似（fTWA）研究了二维哈伯德模型中相互作用淬火后的非平衡动力学。为了系统地评估该方法的有效范围，我们考虑了以费米子退变性 N 作为自然半经典扩展参数的 SU(N) Hubbard 模型。利用数值和微扰分析方法，我们证明了 fTWA 至少在热化前动力学（包括热化前动力学）之前是精确的。我们讨论了该方法在这一机制之外的局限性。

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

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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来源期刊

Journal of Physics A: Mathematical and Theoretical 物理-物理：数学物理

CiteScore

4.10

自引率

14.30%

发文量

542

审稿时长

1.9 months

期刊介绍： Publishing 50 issues a year, Journal of Physics A: Mathematical and Theoretical is a major journal of theoretical physics reporting research on the mathematical structures that describe fundamental processes of the physical world and on the analytical, computational and numerical methods for exploring these structures.