Systematic large flavor fTWA approach to interaction quenches

Studying the out-of-equilibrium quantum dynamics in two-dimensional lattice models is challenging due to the lack of a general purpose simulation method.
A new semiclassical approach to compute the quantum dynamics of fermions was recently developed by Davidson et. al. [1], the fermionic truncated Wigner approximation (fTWA).
In this talk, we adopt the method and combine it with the limit of high fermion degeneracy N as a well-defined semiclassical expansion parameter.
We first take the well-known problem of an interaction quench in the two-dimensional Hubbard model to show that the method correctly describes prethermalization [2]. In addition we discuss whether the long-time thermalization dynamics is reproduced as well.
As a second application we consider quenches in ordered phases of the large-N Hubbard-Heisenberg model and show that the semiclassical time-evolution leads to dephasing and subsequent decay of the order parameter.
[1] SM Davidson et. al., Annals of Physics 384, pages 128-141 (2017)
[2] A Osterkorn and S Kehrein, arXiv:2007.05063