Unraveling open-system quantum dynamics of non-interacting Fermions

TL;DR

This paper introduces an approximate method using Hubbard-Stratonovich transformation to simulate open-system quantum dynamics of non-interacting Fermions, enabling analysis of complex many-body systems in various fields.

Contribution

The authors develop a novel approximation technique for evolving non-interacting Fermions in open quantum systems, addressing a key computational challenge.

Findings

Successful application to 1D Fermion systems

Promising results in modeling open quantum dynamics

Potential for broad research applications

Abstract

The Lindblad equation is commonly used for studying quantum dynamics in open systems that cannot be completely isolated from an environment, relevant to a broad variety of research fields, such as atomic physics, materials science, quantum biology and quantum information and computing. For electrons in condensed matter systems, the Lindblad dynamics is intractable even if their mutual Coulomb repulsion could somehow be switched off. This is because they would still be able to affect each other by interacting with the bath. Here, we develop an approximate approach, based on the Hubbard-Stratonovich transformation, which allows to evolve non-interacting Fermions in open quantum systems. We discuss several applications for systems of trapped 1D Fermions showing promising results.