Discrete-time quantum simulation of non-Markovian behaviour of transport dynamics in FMO complex

The Fenna-Mathews-Olson (FMO) complex present in green sulphur bacteria are known to mediate the transfer of excitation energy between light-harvesting chlorosomes and membrane-embedded bacterial reaction centres. Due to high efficiency of such transport process, it is an extensively studied pigment-protein complex system with the eventual aim of modelling and engineering similar dynamics in other systems and use it for real time application. Some studies have attributed the enhancement of transport efficiency to wave-like behaviour and non-Markovian quantum jumps resulting in long lived and revival of quantum coherence, respectively. Since dynamics in these systems resides in quantum-classical regime, quantum simulation of such dynamics will help in exploring the subtle role of quantum features in enhancing the transport efficiency which has remained unsettled. Discrete quantum simulation of the FMO complex dynamics can help in efficient engineering of the heat bath and controlling the environment with the system. In this work, using the discrete quantum simulation framework we quantify and show that the non-Markovian memory effects are present in specific site-pairs when internal structures and environmental effects are in favour of faster transport. As a consequence, our study lean towards the connection between non-Markovianity in the quantum jumps with the enhancement of transport efficiency.Comment: 8 pages 13 figure