Time evolving matrix product operator (TEMPO) method in a non-diagonal basis set based on derivative of the path integral expression
Abstract
The time-evolving matrix product operator (TEMPO) method is a powerful tool for simulating open system quantum dynamics. Typically, it is used in problems with diagonal system-bath coupling, where analytical expressions for discretized influence functional are available. In this work, we aim to address issues related to off-diagonal coupling by extending the TEMPO algorithm to accommodate arbitrary basis sets. The proposed approach is based on computing the derivative of the discretized path integral expression of a generalized influence functional when increasing one time step, which yields an equation of motion valid for non-diagonal basis set and arbitrary number of non-commuting baths. The generalized influence functional is then obtained by integrating the resulting differential equation. Applicability of the the new method is then tested by simulating one- and two- qubit systems coupled to both Z- and X-type baths.
Cite
@article{arxiv.2410.23877,
title = {Time evolving matrix product operator (TEMPO) method in a non-diagonal basis set based on derivative of the path integral expression},
author = {Shuocang Zhang and Qiang Shi},
journal= {arXiv preprint arXiv:2410.23877},
year = {2025}
}