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Generalized Master Equation with Non-Markovian Multichromophoric Förster Resonance Energy Transfer for Modular Exciton Densities

Journal Article · · Physical Review Letters

A generalized master equation (GME) governing quantum evolution of modular exciton density (MED) is derived for large scale light harvesting systems composed of weakly interacting modules of multiple chromophores. The GME-MED offers a practical framework to incorporate real time coherent quantum dynamics calculations of small length scales into dynamics over large length scales, and also provides a non-Markovian generalization and rigorous derivation of the Pauli master equation employing multichromophoric Förster resonance energy transfer rates. A test of the GME-MED for four sites of the Fenna-Matthews-Olson complex demonstrates how coherent dynamics of excitonic populations over coupled chromophores can be accurately described by transitions between subgroups (modules) of delocalized excitons. Application of the GME-MED to the exciton dynamics between a pair of light harvesting complexes in purple bacteria demonstrates its promise as a computationally efficient tool to investigate large scale exciton dynamics in complex environments.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1407258
Alternate ID(s):
OSTI ID: 1753958
OSTI ID: 1180630
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 18 Vol. 113; ISSN 0031-9007; ISSN PRLTAO
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (41)

Molecular Mechanisms of Photosynthesis book December 2002
Langevin and master equation in quantum mechanics journal June 1997
Theory of excitation energy transfer: from structure to function journal August 2009
Energy Transfer in Photosystem I of Cyanobacteria Synechococcus elongatus: Model Study with Structure-Based Semi-Empirical Hamiltonian and Experimental Spectral Density journal July 2003
Ultrafast excitation energy transfer dynamics in photosynthetic pigment–protein complexes journal March 2001
Critical tests of a new master equation approach to nonadiabatic quantum dissipative systems journal January 2004
How the molecular structure determines the flow of excitation energy in plant light-harvesting complex II journal August 2011
Photosynthetic apparatus of purple bacteria journal February 2002
A Structure-Based Model of Energy Transfer Reveals the Principles of Light Harvesting in Photosystem II Supercomplexes journal June 2013
Atomistic Study of Energy Funneling in the Light-Harvesting Complex of Green Sulfur Bacteria journal January 2014
Adapting the Förster Theory of Energy Transfer for Modeling Dynamics in Aggregated Molecular Assemblies journal March 2001
The Semiclassical Initial Value Representation:  A Potentially Practical Way for Adding Quantum Effects to Classical Molecular Dynamics Simulations journal April 2001
Kinetics of Excitation Migration and Trapping in the Photosynthetic Unit of Purple Bacteria journal August 2001
Nature of Disorder and Inter-Complex Energy Transfer in LH2 at Room Temperature:  A Three Pulse Photon Echo Peak Shift Study journal August 2002
On the Temperature Dependence of Molecular Line Shapes Due to Linearly Coupled Phonon Bands journal August 2002
Multichromophoric Förster Resonance Energy Transfer from B800 to B850 in the Light Harvesting Complex 2:  Evidence for Subtle Energetic Optimization by Purple Bacteria journal June 2007
Photosynthetic Light-Harvesting:  Reconciling Dynamics and Structure of Purple Bacterial LH2 Reveals Function of Photosynthetic Unit journal March 1999
Theoretical Study of Coherent Excitation Energy Transfer in Cryptophyte Phycocyanin 645 at Physiological Temperature journal March 2011
Memory-Assisted Exciton Diffusion in the Chlorosome Light-Harvesting Antenna of Green Sulfur Bacteria journal August 2012
Long-Lived Electronic Coherence in Dissipative Exciton Dynamics of Light-Harvesting Complexes journal September 2012
Intra- and inter-monomeric transfers in the light harvesting LHCII complex: the Redfield–Förster picture journal January 2011
Fourth-order quantum master equation and its Markovian bath limit journal February 2002
Theory of single molecule line shapes of multichromophoric macromolecules journal May 2003
Excitation migration in trimeric cyanobacterial photosystem I journal June 2004
Higher-order processes of excitation energy transfer in supramolecular complexes: Liouville space analysis of bridge molecule mediated transfer and direct photon exchange journal September 2008
Unified treatment of quantum coherent and incoherent hopping dynamics in electronic energy transfer: Reduced hierarchy equation approach journal June 2009
The effect of correlated bath fluctuations on exciton transfer journal March 2011
Excited state dynamics in photosynthetic reaction center and light harvesting complex 1 journal August 2012
Emission lineshapes of the B850 band of light-harvesting 2 (LH2) complex in purple bacteria: A second order time-nonlocal quantum master equation approach journal April 2013
An analytical continuation approach for evaluating emission lineshapes of molecular aggregates and the adequacy of multichromophoric Förster theory journal May 2013
Alternating syn-anti bacteriochlorophylls form concentric helical nanotubes in chlorosomes journal May 2009
Theoretical examination of quantum coherence in a photosynthetic system at physiological temperature journal October 2009
Environment-assisted quantum transport journal March 2009
Efficient energy transfer in light-harvesting systems, I: optimal temperature, reorganization energy and spatial–temporal correlations journal October 2010
Modelling of oscillations in two-dimensional echo-spectra of the Fenna–Matthews–Olson complex journal February 2012
Entanglement and entangling power of the dynamics in light-harvesting complexes journal June 2010
Generalized-master-equation theory of excitation transfer journal June 1974
Spatial propagation of excitonic coherence enables ratcheted energy transfer journal October 2012
Multichromophoric Förster Resonance Energy Transfer journal May 2004
Expansion Formulas in Nonequilibrium Statistical Mechanics journal September 1980
T IME -D EPENDENT Q UANTUM M ETHODS FOR L ARGE S YSTEMS journal October 1999

Cited By (7)

Tracing feed-back driven exciton dynamics in molecular aggregates journal January 2018
Fourth order expressions for the electronic absorption lineshape of molecular excitons journal July 2019
Multi-level description of the vibronic dynamics of open quantum systems journal October 2019
Absorption matrix of multi-site systems calculated by a hybrid quantum-classical Liouville equation journal December 2019
Delocalized excitons in natural light-harvesting complexes journal August 2018
Geometry Effects on Light‐Harvesting Complex's Light Absorption and Energy Transfer in Purple Bacteria journal July 2019
Delocalized excitons in natural light harvesting complexes text January 2018

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