Multiple path adiabatic crossing in a 3 site ring

TL;DR

This paper derives an exact formula for current in a 3-site ring during multiple-path adiabatic crossing, revealing complex dynamics like adiabatic metamorphosis and the transition from quantum to classical current partitioning.

Contribution

It provides a novel exact expression for the current and introduces the concept of adiabatic metamorphosis in a 3-site ring, advancing understanding beyond two-level models.

Findings

Exact current expression derived for 3-site ring

Identification of adiabatic metamorphosis process

Transition from quantum to stochastic current partitioning

Abstract

We find an exact expression for the current that is induced in a 3 site ring during a multiple-path adiabatic crossing. The understanding of the dynamics requires to go beyond the two-level phenomenology. In particular we highlight a prototype process, "adiabatic metamorphosis", during which current is flowing through a non-accessible site. This helps to understand the crossover from coherent non-classical splitting to stochastic noisy-alike partitioning of the current.