Real time evolution of Anderson impurity models via tensor network influence functionals
Abstract
In this work we present and analyze two tensor network-based influence functional approaches for simulating the real-time dynamics of quantum impurity models such as the Anderson model. Via comparison with recent numerically exact simulations, we show that such methods accurately capture the long-time non-equilibrium quench dynamics. The two parameters that must be controlled in these tensor network influence functional approaches are a time discretization (Trotter) error and a bond dimension (tensor network truncation) error. We show that the actual numerical uncertainties are controlled by an intricate interplay of these two approximations which we demonstrate in different regimes. Our work opens the door to using these tensor network influence functional methods as general impurity solvers.
Keywords
Cite
@article{arxiv.2211.10430,
title = {Real time evolution of Anderson impurity models via tensor network influence functionals},
author = {Nathan Ng and Gunhee Park and Andrew J. Millis and Garnet Kin-Lic Chan and David R. Reichman},
journal= {arXiv preprint arXiv:2211.10430},
year = {2023}
}