DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Dynamics of a Chlorophyll Dimer in Collective and Local Thermal Environments

Abstract

Here we present a theoretical analysis of exciton transfer and decoherence effects in a photosynthetic dimer interacting with collective (correlated) and local (uncorrelated) protein-solvent environments. Our approach is based on the framework of the spin-boson model. We derive explicitly the thermal relaxation and decoherence rates of the exciton transfer process, valid for arbitrary temperatures and for arbitrary (in particular, large) interaction constants between the dimer and the environments. We establish a generalization of the Marcus formula, giving reaction rates for dimer levels possibly individually and asymmetrically coupled to environments. We identify rigorously parameter regimes for the validity of the generalized Marcus formula. The existence of long living quantum coherences at ambient temperatures emerges naturally from our approach.

Authors:
 [1];  [2];  [3];  [2];  [4];  [5];  [6]
  1. Memorial Univ. of Newfoundland, St. John’s, NL (Canada). Dept. of Mathematics and Statistics
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Biological Division
  4. Memorial Univ. of Newfoundland, St. Johnas, NL (Canada). Dept. of Mathematics and Statistics; Univ. Stuttgart, Stuttgart (Germany). Fachbereich Mathematik
  5. CUCEI: Universidad de Guadalajara
  6. Tianjin University of Technology
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1338732
Report Number(s):
LA-UR-15-29509
Journal ID: ISSN 0259-9791
Grant/Contract Number:  
AC52-06NA25396; 15349
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Mathematical Chemistry
Additional Journal Information:
Journal Volume: 54; Journal Issue: 4; Journal ID: ISSN 0259-9791
Country of Publication:
United States
Language:
English
Subject:
59 BASIC BIOLOGICAL SCIENCES; 54 ENVIRONMENTAL SCIENCES; Biological Science; Light-harvesting photosynthetic complex; Photosynthetic dimer; Exciton transfer; Transfer rate; Relaxation rate; Decoherence rate; Marcus formula; Local environment; Collective environment; Strong environment coupling; Open quantum systems; Dynamical quantum resonance theory

Citation Formats

Merkli, M., Berman, Gennady Petrovich, Sayre, Richard Thomas, Gnanakaran, Sandrasegaram, Konenberg, M., Nesterov, A.I., and Song, H. Dynamics of a Chlorophyll Dimer in Collective and Local Thermal Environments. United States: N. p., 2016. Web. doi:10.1007/s10910-016-0593-z.
Merkli, M., Berman, Gennady Petrovich, Sayre, Richard Thomas, Gnanakaran, Sandrasegaram, Konenberg, M., Nesterov, A.I., & Song, H. Dynamics of a Chlorophyll Dimer in Collective and Local Thermal Environments. United States. https://doi.org/10.1007/s10910-016-0593-z
Merkli, M., Berman, Gennady Petrovich, Sayre, Richard Thomas, Gnanakaran, Sandrasegaram, Konenberg, M., Nesterov, A.I., and Song, H. Sat . "Dynamics of a Chlorophyll Dimer in Collective and Local Thermal Environments". United States. https://doi.org/10.1007/s10910-016-0593-z. https://www.osti.gov/servlets/purl/1338732.
@article{osti_1338732,
title = {Dynamics of a Chlorophyll Dimer in Collective and Local Thermal Environments},
author = {Merkli, M. and Berman, Gennady Petrovich and Sayre, Richard Thomas and Gnanakaran, Sandrasegaram and Konenberg, M. and Nesterov, A.I. and Song, H.},
abstractNote = {Here we present a theoretical analysis of exciton transfer and decoherence effects in a photosynthetic dimer interacting with collective (correlated) and local (uncorrelated) protein-solvent environments. Our approach is based on the framework of the spin-boson model. We derive explicitly the thermal relaxation and decoherence rates of the exciton transfer process, valid for arbitrary temperatures and for arbitrary (in particular, large) interaction constants between the dimer and the environments. We establish a generalization of the Marcus formula, giving reaction rates for dimer levels possibly individually and asymmetrically coupled to environments. We identify rigorously parameter regimes for the validity of the generalized Marcus formula. The existence of long living quantum coherences at ambient temperatures emerges naturally from our approach.},
doi = {10.1007/s10910-016-0593-z},
journal = {Journal of Mathematical Chemistry},
number = 4,
volume = 54,
place = {United States},
year = {2016},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 12 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Different Types of Vibrations Interacting with Electronic Excitations in Phycoerythrin 545 and Fenna–Matthews–Olson Antenna Systems
journal, September 2014

  • Aghtar, Mortaza; Strümpfer, Johan; Olbrich, Carsten
  • The Journal of Physical Chemistry Letters, Vol. 5, Issue 18
  • DOI: 10.1021/jz501351p

Representations of the Canonical Commutation Relations Describing a Nonrelativistic Infinite Free Bose Gas
journal, May 1963

  • Araki, H.; Woods, E. J.
  • Journal of Mathematical Physics, Vol. 4, Issue 5
  • DOI: 10.1063/1.1704002

The role of non-equilibrium vibrational structures in electronic coherence and recoherence in pigment–protein complexes
journal, January 2013

  • Chin, A. W.; Prior, J.; Rosenbach, R.
  • Nature Physics, Vol. 9, Issue 2
  • DOI: 10.1038/nphys2515

Exact mapping between system-reservoir quantum models and semi-infinite discrete chains using orthogonal polynomials
journal, September 2010

  • Chin, Alex W.; Rivas, Ángel; Huelga, Susana F.
  • Journal of Mathematical Physics, Vol. 51, Issue 9
  • DOI: 10.1063/1.3490188

Protein dynamics and 1/f noise
journal, August 1992


Real-Time Vibrational Dynamics in Chlorophyll a Studied with a Few-Cycle Pulse Laser
journal, August 2011


Direct observation of energy transfer in a photosynthetic membrane: chlorophyll b to chlorophyll a transfer in LHC
journal, December 1989

  • Eads, Daniel D.; Castner, Edward W.; Alberte, Randall S.
  • The Journal of Physical Chemistry, Vol. 93, Issue 26
  • DOI: 10.1021/j100363a001

On a model for quantum friction, II. Fermi's golden rule and dynamics at positive temperature
journal, March 1996

  • Jakšić, V.; Pillet, C. -A.
  • Communications in Mathematical Physics, Vol. 176, Issue 3
  • DOI: 10.1007/BF02099252

Förster’s resonance excitation transfer theory: not just a formula
journal, January 2012


Ergodicity of the Spin-Boson Model for Arbitrary Coupling Strength
journal, December 2014

  • Könenberg, M.; Merkli, M.; Song, H.
  • Communications in Mathematical Physics, Vol. 336, Issue 1
  • DOI: 10.1007/s00220-014-2242-3

On the Theory of Oxidation‐Reduction Reactions Involving Electron Transfer. I
journal, May 1956

  • Marcus, R. A.
  • The Journal of Chemical Physics, Vol. 24, Issue 5
  • DOI: 10.1063/1.1742723

Electron transfer reactions: generalized spin-boson approach
journal, December 2012


Application of resonance perturbation theory to dynamics of magnetization in spin systems interacting with local and collective bosonic reservoirs
journal, July 2011


Multiscale dynamics of open three-level quantum systems with two quasi-degenerate levels
journal, June 2015

  • Merkli, Marco; Song, Haifeng; Berman, Gennady P.
  • Journal of Physics A: Mathematical and Theoretical, Vol. 48, Issue 27
  • DOI: 10.1088/1751-8113/48/27/275304

Resonance theory of decoherence and thermalization
journal, February 2008


Overlapping Resonances in Open Quantum Systems
journal, July 2014


Role of protein fluctuation correlations in electron transfer in photosynthetic complexes
journal, April 2015


Theory and Simulation of the Environmental Effects on FMO Electronic Transitions
journal, June 2011

  • Olbrich, Carsten; Strümpfer, Johan; Schulten, Klaus
  • The Journal of Physical Chemistry Letters, Vol. 2, Issue 14
  • DOI: 10.1021/jz2007676

Efficient Simulation of Strong System-Environment Interactions
journal, July 2010


Environment-assisted quantum transport
journal, March 2009


Numerical evidence for robustness of environment-assisted quantum transport
journal, April 2014


Time Evolution of a Quantum System in Contact with a Nearly Gaussian-Markoffian Noise Bath
journal, January 1989

  • Tanimura, Yoshitaka; Kubo, Ryogo
  • Journal of the Physical Society of Japan, Vol. 58, Issue 1
  • DOI: 10.1143/JPSJ.58.101

Reduced hierarchical equations of motion in real and imaginary time: Correlated initial states and thermodynamic quantities
journal, July 2014

  • Tanimura, Yoshitaka
  • The Journal of Chemical Physics, Vol. 141, Issue 4
  • DOI: 10.1063/1.4890441

Atomistic Modeling of Two-Dimensional Electronic Spectra and Excited-State Dynamics for a Light Harvesting 2 Complex
journal, January 2015

  • van der Vegte, C. P.; Prajapati, J. D.; Kleinekathöfer, U.
  • The Journal of Physical Chemistry B, Vol. 119, Issue 4
  • DOI: 10.1021/jp509247p

Density functional theory based calculations of the vibrational properties of chlorophyll-a
journal, July 2007


Coherent Multidimensional Vibrational Spectroscopy of Biomolecules: Concepts, Simulations, and Challenges
journal, May 2009

  • Zhuang, Wei; Hayashi, Tomoyuki; Mukamel, Shaul
  • Angewandte Chemie International Edition, Vol. 48, Issue 21
  • DOI: 10.1002/anie.200802644

Works referencing / citing this record:

Modeling of noise-assisted quantum transfer between donor and acceptor with finite bandwidths
journal, October 2019

  • Nesterov, Alexander I.; Berman, Gennady P.; Merkli, Marco
  • Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 43
  • DOI: 10.1088/1751-8121/ab4502