title: Coherent chemical kinetics as quantum walks. II. Radical-pair reactions in Arabidopsis thaliana.
abstract: We apply the quantum-walk approach proposed in the preceding paper [A. Chia et al., preceding paper, Phys. Rev. E 93, 032407 (2016)] to a radical-pair reaction where realistic estimates for the intermediate transition rates are available. The well-known average hitting time from quantum walks can be adopted as a measure of how quickly the reaction occurs and we calculate this for varying degrees of dephasing in the radical pair. The time for the radical pair to react to a product is found to be independent of the amount of dephasing introduced, even in the limit of no dephasing where the transient population dynamics exhibits strong coherent oscillations. This can be seen to arise from the existence of a rate-limiting step in the reaction and we argue that in such examples, a purely classical model based on rate equations can be used for estimating the time scale of the reaction but not necessarily its population dynamics.
authors.affiliation: Centre for Quantum Technologies, National University of Singapore, Singapore.
authors.forename: A
authors.initials: A
authors.lastname: Chia
authors.affiliation: Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore.
authors.forename: A
authors.initials: A
authors.lastname: Górecka
authors.affiliation: Centre for Quantum Technologies, National University of Singapore, Singapore.|Faculty of Physics, Adam Mickiewicz University in Poznań, Poznań, Poland.
authors.forename: P
authors.initials: P
authors.lastname: Kurzyński
authors.affiliation: Centre for Quantum Technologies, National University of Singapore, Singapore.|Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore.
authors.forename: T
authors.initials: T
authors.lastname: Paterek
authors.affiliation: Centre for Quantum Technologies, National University of Singapore, Singapore.
authors.forename: D
authors.initials: D
authors.lastname: Kaszlikowski
mesh_terms: D017360:Arabidopsis / Q000378:metabolism*; D056931:Cryptochromes / Q000378:metabolism; D007700:Kinetics; D008954:Models, Biological; D011336:Probability; D011789:Quantum Theory
chemical_list: D056931:Cryptochromes