Observable Topological Effects of Mobius Molecular Devices

TL;DR

This paper investigates the topological quantum effects in Mobius molecular devices, revealing observable phenomena like spectral splitting and mode entanglement caused by non-Abelian gauge structures in a molecular system.

Contribution

It introduces a model for Mobius molecular devices with non-Abelian gauge interactions, highlighting their topological effects on quantum states and observable spectral properties.

Findings

Optical spectral splitting due to topological effects

Destructive interference in transmission spectrum

Entanglement between transverse and longitudinal modes

Abstract

We study the topological properties of quantum states for the spinless particle hopping in a Mobius ladder. This system can be regarded as a molecular device possibly engineered from the aromatic Mobius annulenes, which enjoys a pseudo-spin orbital interaction described by a non-Abelian gauge structure. It results from the nontrivial topology of configuration space, and results in various observable effects, such as optical spectral splitting. The transmission spectrum through the Mobius molecular device is calculated to demonstrate a topological effect as a destructive interferences in the conduction band. The induced interaction also leads to an entanglement between the transverse and longitudinal modes for any locally factorized state.