Optimal Conditions for Environment-Assisted Quantum Transport on the Fully Connected Network

TL;DR

This paper provides a theoretical analysis of excitation transport efficiency on a fully connected network, identifying conditions where dephasing enhances transport and demonstrating robustness similar to light-harvesting systems.

Contribution

It derives analytical expressions for transport properties on symmetric networks, revealing optimal conditions for dephasing-assisted transport across various parameters.

Findings

Dephasing can enhance transport efficiency under certain conditions.

Optimal transport occurs at specific dephasing rates and parameters.

Transport robustness is similar to that observed in light-harvesting complexes.

Abstract

We present a theoretical analysis of the efficiency and rate of excitation transport on a network described by a complete graph in which every site is connected to every other. The long-time transport properties are analytically calculated for networks of arbitrary size that are symmetric except for the trapping site, start with a range of initial states, and are subject to dephasing and excitation decay. Conditions for which dephasing increases transport are identified, and optimal conditions are found for various physical parameters. The optimal conditions demonstrate robustness and a convergence of timescales previously observed in the context of light-harvesting complexes.