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

• URL: http://arxiv.org/abs/2007.05063v2
• Date: Mon, 15 Jan 2024 09:32:42 GMT
• Title: Systematic large flavor fTWA approach to interaction quenches in the Hubbard model
• Authors: Alexander Osterkorn and Stefan Kehrein
• Abstract summary: We study the nonequilibrium dynamics after an interaction quench in the two-dimensional Hubbard model using the recently introduced fermionic truncated Wigner approximation (fTWA) We show that fTWA is exact at least up to and including the prethermalization dynamics.
• Score: 55.2480439325792
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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