Efficient Energy Transfer in Network Model of Photosynthesis

  • Yuta Mitome
  • Satoshi Iriyama
  • Keiko Sato
  • Igor V. Volivich
Part of the STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health book series (STEAM)


Recently, it has been shown that the mathematical model of photosynthetic process can be described by quantum network. The model is based on fully connected network, and the dynamics is written by the GKSL master equation. The system at room temperature is susceptible to a dissipative and dephasing noise from the environment. The previous research showed that the efficiency of energy transfer can be increased by dephasing noise in the case that there is no dissipative noise. In this study, we calculate the efficiency of energy transfer in the case of considering both noises rigorously and show that the transfer efficiency becomes better when the dephasing noise is stronger than the dissipative one.


  1. 1.
    Collini, E., Wong, C.Y., Wilk, K.E., Curmi, P.M.G., Brumer, P., Scholes, G.D.: Coherently wired lightharvesting in photosynthetic marine algae at ambient temperature. Nature 463 (2010).
  2. 2.
    Ishizaki, A., Fleming, G.F.: Theoretical examination of quantum coherence in a photosynthetic system at physiological temperature. Proc. Natl. Acad. Sci. USA 106, 17255–17260 (2009)Google Scholar
  3. 3.
    Engel, G.S., Calhoun, T.R., Read, E.L., Ahn, T.K., Mancal, T., Cheng, Y.C., Blankenship, R.E., Fleming, G.R.: Evidence for wavelike energy transfer through quantum coherence in photosynthetic systems. Nature 446, 782–786 (2007)Google Scholar
  4. 4.
    Pauling, L.J.: The diamagnetic anisotropy of aromatic molecules. Chem. Phys. 4, 673 (1936)Google Scholar
  5. 5.
    Montroll, E.W.J.: Quantum theory on a network. I. A solvable model whose wavefunctions are elementary functions. Math. Phys. 11, 635 (1970)Google Scholar
  6. 6.
    Beratran, D.N., Betts, J.N., Onuchic, J.N.: Protein electron transfer rates set by the bridging secondary and tertiary structure. Science 252, 1285 (1991)Google Scholar
  7. 7.
    Kobrak, M.N., Bittner, E.R.: Quantum molecular dynamics study of polaron recombination in conjugated polymers. Phys. Rev. B 62, 11473 (2000)Google Scholar
  8. 8.
    Gnutzman, S., Smilansky, U.: Quantum graphs: applications to quantum chaos and universal spectral statistics. Adv. Phys. 55, 527–625 (2006)Google Scholar
  9. 9.
    Caruso, F., Chin, A.W., Datta, A., Huelga, S.F., Plenio, M.B.: Highly efficient energy excitation transfer in light-harvesting complexes: the fundamental role of noise-assisted transport. J. Chem. Phys. 131, 105106 (2009)Google Scholar
  10. 10.
    Adolphs, J., Renger, T.: How proteins trigger excitation energy transfer in the FMO complex of green sulfur bacteria. Biophys. J. 91, 2778 (2006)Google Scholar
  11. 11.
    Caruso, F., Huelga, S.F., Plenio, M.B.: Noise-enhanced classical and quantum capacities in communication networks. Phys. Rev. Lett. 105, 190501 (2010)Google Scholar
  12. 12.
    Ohya, M., Volovich, I.V.: Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems. Springer (2011)Google Scholar

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© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Yuta Mitome
    • 1
  • Satoshi Iriyama
    • 1
  • Keiko Sato
    • 1
  • Igor V. Volivich
    • 2
  1. 1.Tokyo University of ScienceTokyoJapan
  2. 2.Steklow Mathematical InstituteMoskvaRussia

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