The Lindblad equation is of frequent use for studying the dynamics of open quantum systems, such as in atomic physics, materials science, quantum biology, and quantum information/computing. For electrons in condensed matter systems, the Lindblad dynamics is intractable even if their mutual Coulomb repulsion could somehow be switched off because they would still be able to interact indirectly each through the bath. Here, we develop an approach, based on the Hubbard–Stratonovich transformation, which allows evolving non-interacting Fermions in open quantum systems, taking into account the indirect interaction. We discuss several applications for a collection of trapped 1D Fermions showing promising results. We discuss the relevance to the time-dependent density functional theory of open electronic systems.

Unraveling open-system quantum dynamics of non-interacting Fermions

2019 Spring National Meeting

The official archive and repository for all ACS Meetings & Expositions abstracts and select posters or presentations.