A Quantum trajectory picture of single photon absorption and energy
transport in photosystem II
- URL: http://arxiv.org/abs/2110.13811v3
- Date: Tue, 9 Aug 2022 02:40:12 GMT
- Title: A Quantum trajectory picture of single photon absorption and energy
transport in photosystem II
- Authors: Robert L. Cook, Liwen Ko, K. Birgitta Whaley
- Abstract summary: We study the first step in photosynthesis for the limiting case of a single photon interacting with photosystem II (PSII)
We model our system using quantum trajectory theory, which allows us to consider not only the average evolution, but also the conditional evolution of the system.
The long time evolution of the phononic model predicts an experimentally consistent quantum efficiency of 92%.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In this work we study the first step in photosynthesis for the limiting case
of a single photon interacting with photosystem II (PSII). We model our system
using quantum trajectory theory, which allows us to consider not only the
average evolution, but also the conditional evolution of the system given
individual realizations of idealized measurements of photons that have been
absorbed and subsequently emitted as fluorescence. The quantum nature of the
single photon input requires a fully quantum model of both the input and output
light fields. We show that PSII coupled to the field via three collective
``bright states'', whose orientation and distribution correlate strongly with
its natural geometry. Measurements of the transmitted beam strongly affects the
system state, since a (null) detection of the outgoing photon confirms that the
system must be in the electronic (excited) ground state. Using numerical and
analytical calculations we show that observing the null result transforms a
state with a low excited state population $O( 10^{-5} )$ to a state with nearly
all population contained in the excited states. This is solely a property of
the single photon input, as we confirm by comparing this behavior with that for
excitation by a coherent state possessing an average of one photon, using a
smaller five site ``pentamer'' system. We also examine the effect of a
dissipative phononic environment on the conditional excited state dynamics. We
show that the environment has a strong effect on the observed rates of
fluorescence, which could act as a new photon-counting witness of excitonic
coherence. The long time evolution of the phononic model predicts an
experimentally consistent quantum efficiency of 92%.
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