Physical Basis for Long-Lived Electronic Coherence in Photosynthetic Light-Harvesting Systems

The physical basis for observed long-lived electronic coherence in photosynthetic light-harvesting systems is identified using an analytically soluble model. Three physical features are found to be responsible for their long coherence lifetimes, (i) the small energy gap between excitonic states, (ii) the small ratio of the energy gap to the coupling between excitonic states, and (iii) the fact that the molecular characteristics place the system in an effective low-temperature regime, even at ambient conditions. Using this approach, we obtain decoherence times for a dimer model with FMO parameters of ∼160 fs at 77 K and ∼80 fs at 277 K. As such, significant oscillations are found to persist for 600 and 300 fs, respectively, in accord with the experiment and with previous computations. Similar good agreement is found for PC645 at room temperature, with oscillations persisting for 400 fs. The analytic expressions obtained provide direct insight into the parameter dependence of the decoherence time scales.

[1]  A. Leggett,et al.  Dynamics of the dissipative two-state system , 1987 .

[2]  T. Renger,et al.  How proteins trigger excitation energy transfer in the FMO complex of green sulfur bacteria. , 2006, Biophysical journal.

[3]  David Zueco,et al.  Bringing entanglement to the high temperature limit. , 2010, Physical review letters.

[4]  R. Silbey,et al.  Efficient energy transfer in light-harvesting systems, I: optimal temperature, reorganization energy and spatial–temporal correlations , 2010, 1008.2236.

[5]  Gregory D. Scholes,et al.  Coherently wired light-harvesting in photosynthetic marine algae at ambient temperature , 2010, Nature.

[6]  D. Coker,et al.  Theoretical Study of Coherent Excitation Energy Transfer in Cryptophyte Phycocyanin 645 at Physiological Temperature , 2011 .

[7]  J. Gilmore,et al.  Spin boson models for quantum decoherence of electronic excitations of biomolecules and quantum dots in a solvent , 2004, cond-mat/0401444.

[8]  Bradley F. Habenicht,et al.  Ab initio study of vibrational dephasing of electronic excitations in semiconducting carbon nanotubes. , 2007, Nano letters (Print).

[9]  Masoud Mohseni,et al.  Environment-assisted quantum transport , 2008, 0807.0929.

[10]  M. B. Plenio,et al.  Dephasing-assisted transport: quantum networks and biomolecules , 2008, 0807.4902.

[11]  Graham R Fleming,et al.  Dynamics of light harvesting in photosynthesis. , 2009, Annual review of physical chemistry.

[12]  Justin R Caram,et al.  Long-lived quantum coherence in photosynthetic complexes at physiological temperature , 2010, Proceedings of the National Academy of Sciences.

[13]  P. Rossky,et al.  An analysis of electronic dephasing in the spin-boson model. , 2004, The Journal of chemical physics.

[14]  Joel Gilmore,et al.  Criteria for quantum coherent transfer of excitations between chromophores in a polar solvent , 2004, quant-ph/0412170.

[15]  William H. Miller,et al.  Self-consistent hybrid approach for complex systems: Application to the spin-boson model with Debye spectral density , 2001 .

[16]  U. Weiss Quantum Dissipative Systems , 1993 .

[17]  V. May,et al.  Charge and Energy Transfer Dynamics in Molecular Systems: MAY:CHARGE TRANSFER 3ED O-BK , 2011 .

[18]  T. Mančal,et al.  Evidence for wavelike energy transfer through quantum coherence in photosynthetic systems , 2007, Nature.

[19]  J. Gilmore,et al.  Quantum dynamics of electronic excitations in biomolecular chromophores: role of the protein environment and solvent. , 2006, Journal of Physical Chemistry A.

[20]  Alexander Eisfeld,et al.  Equivalence of quantum and classical coherence in electronic energy transfer. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[22]  G. Fleming,et al.  Theoretical examination of quantum coherence in a photosynthetic system at physiological temperature , 2009, Proceedings of the National Academy of Sciences.

[23]  P. Rossky,et al.  Electronic Decoherence Induced by Intramolecular Vibrational Motions in a Betaine Dye Molecule , 2004 .

[24]  M. Shapiro,et al.  Femtosecond dynamics and laser control of charge transport in trans-polyacetylene. , 2008, The Journal of chemical physics.

[25]  M. Thorwart,et al.  Coherent control of an effective two-level system in a non-Markovian biomolecular environment , 2009, 0903.2936.