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

Alexander Osterkorn; Stefan Kehrein

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

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arxiv 2007.05063 v2 pith:F7UEWZJN submitted 2020-07-09 cond-mat.str-el quant-ph

Alexander Osterkorn , Stefan Kehrein This is my paper · ORCID

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keywords ftwahubbardmodelapproachdynamicsinteractionmethodsystematic

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abstract

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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