Quantum tunneling on graphs

TL;DR

This paper investigates how quantum particles tunnel on finite graphs with large potentials, revealing that local symmetry around potential wells crucially influences tunneling behavior.

Contribution

It uncovers the role of local symmetry in quantum tunneling on graphs, a novel insight in quantum graph theory.

Findings

Tunneling behavior depends on local symmetry of the graph.

Local symmetry governs the quantum tunneling process.

Potential wells' symmetry influences tunneling dynamics.

Abstract

We explore the tunneling behavior of a quantum particle on a finite graph, in the presence of an asymptotically large potential. Surprisingly the behavior is governed by the local symmetry of the graph around the wells.