Dynamical transitions in Markovian exciton transport

TL;DR

This paper explores how quantum features influence the statistical properties of energy transfer in Markovian exciton transport, revealing dynamical crossovers driven by quantum interference in systems with at least three molecules.

Contribution

It demonstrates the occurrence of dynamical crossovers in pure relaxation exciton transport systems with three or more molecules, highlighting the role of quantum interference.

Findings

Dynamical crossovers occur in systems with three or more molecules.

Quantum interference strongly activates these crossovers.

Quantum features influence energy transfer statistics non-trivially.

Abstract

The large deviation theory has recently been applied to open quantum systems to uncover dynamical crossovers in the space of quantum trajectories associated to Markovian evolutions. Such dynamical crossovers are characterized by qualitative changes in the fluctuations of rare quantum jump trajectories, and have been observed in the statistics of coherently driven quantum systems. In this article we investigate the counting statistics of rare quantum trajectories of an undriven system undergoing a pure relaxation process, namely, Markovian exciton transport. We find that dynamical crossovers occur in systems with a minimum of three interacting molecules, and are strongly activated by exciton delocalization and interference. Our results illustrate how quantum features of the underlying system Hamiltonian can influence the statistical properties of energy transfer processes in a non-trivial manner.