Lanczos-adapted time evolution for open boundary quantum transport

TL;DR

This paper enhances a quantum transport time evolution method by integrating the Lanczos approach, significantly boosting computational efficiency for simulating open boundary quantum systems.

Contribution

The paper introduces a Lanczos-based modification to an existing time integration scheme, improving efficiency in quantum transport simulations.

Findings

Lanczos-adapted scheme significantly increases numerical efficiency

Effective for ab-initio open boundary quantum transport

Validated on a simple 1D model

Abstract

We increase the efficiency of a recently proposed time integration scheme for time dependent quantum transport by using the Lanczos method for time evolution. We illustrate our modified scheme in terms of a simple one dimensional model. Our results show that the Lanczos-adapted scheme gives a large increase in numerical efficiency, and is an advantageous route for numerical time integration in ab-initio treatment of open boundary quantum transport phenomena.