Duality symmetries in driven one-dimensional hopping models

TL;DR

This paper explores duality symmetries in one-dimensional hopping models, revealing connections between different driven and equilibrium systems, and relating these to many-body interactions.

Contribution

It introduces new duality relations for disordered hopping models and links them to similar symmetries in interacting many-body systems.

Findings

Identifies duality symmetries in barrier and trap models

Establishes relations between boundary-driven and equilibrium models

Connects duality concepts to many-body system symmetries

Abstract

We consider some duality relations for models of non-interacting particles hopping on disordered one-dimensional chains. In particular, we discuss symmetries of bulk-driven barrier and trap models, and relations between boundary-driven and equilibrium models with related energy landscapes. We discuss the relationships between these duality relations and similar results for interacting many-body systems.