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

Title: Influence of weak vibrational-electronic couplings on 2D electronic spectra and inter-site coherence in weakly coupled photosynthetic complexes

Abstract

Coherence oscillations measured in two-dimensional (2D) electronic spectra of pigment-protein complexes may have electronic, vibrational, or mixed-character vibronic origins, which depend on the degree of electronic-vibrational mixing. Oscillations from intrapigment vibrations can obscure the inter-site coherence lifetime of interest in elucidating the mechanisms of energy transfer in photosynthetic light-harvesting. Huang-Rhys factors (S) for low-frequency vibrations in Chlorophyll and Bacteriochlorophyll are quite small (S ≤ 0.05), therefore it is often assumed that these vibrations influence neither 2D spectra nor inter-site coherence dynamics. In this work, we explore the influence of S within this range on the oscillatory signatures in simulated 2D spectra of a pigment heterodimer. To visualize the inter-site coherence dynamics underlying the 2D spectra, we introduce a formalism which we call the "site-probe response." By comparing the calculated 2D spectra with the site-probe response, we show that an on-resonance vibration with Huang-Rhys factor as small as S = 0.005 and the most strongly coupled off-resonance vibrations (S = 0.05) give rise to long-lived, purely vibrational coherences at 77 K. We moreover calculate the correlation between optical pump interactions and subsequent entanglement between sites, as measured by the concurrence. At 77 K, greater long-lived inter-site coherence and entanglement appear withmore » increasing S. This dependence all but vanishes at physiological temperature, as environmentally induced fluctuations destroy the vibronic mixing.e« less

Authors:
 [1];  [1];  [2]; ORCiD logo [1]
  1. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Kavli Energy NanoSciences Inst. at Berkeley, CA (United States)
  2. National Inst. of Natural Sciences, Okazaki (Japan)
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); University of California, Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences & Biosciences Division; Japan Society for the Promotion of Science (JSPS); National Science Foundation (NSF)
OSTI Identifier:
1407273
Alternate Identifier(s):
OSTI ID: 1229605
Grant/Contract Number:  
AC02-05CH11231; AC03-76SF00098; 25708003; DGE-1106400
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 143; Journal Issue: 6; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; Excitons; Photosynthetic light-harvesting; Coherence; Bacteriochlorophyll; Fluorescence resonance energy transfer; Protein complexes; Delocalization; Electronic coupling; Chlorophyll; Quantum optics

Citation Formats

Monahan, Daniele M., Whaley-Mayda, Lukas, Ishizaki, Akihito, and Fleming, Graham R. Influence of weak vibrational-electronic couplings on 2D electronic spectra and inter-site coherence in weakly coupled photosynthetic complexes. United States: N. p., 2015. Web. doi:10.1063/1.4928068.
Monahan, Daniele M., Whaley-Mayda, Lukas, Ishizaki, Akihito, & Fleming, Graham R. Influence of weak vibrational-electronic couplings on 2D electronic spectra and inter-site coherence in weakly coupled photosynthetic complexes. United States. https://doi.org/10.1063/1.4928068
Monahan, Daniele M., Whaley-Mayda, Lukas, Ishizaki, Akihito, and Fleming, Graham R. Mon . "Influence of weak vibrational-electronic couplings on 2D electronic spectra and inter-site coherence in weakly coupled photosynthetic complexes". United States. https://doi.org/10.1063/1.4928068. https://www.osti.gov/servlets/purl/1407273.
@article{osti_1407273,
title = {Influence of weak vibrational-electronic couplings on 2D electronic spectra and inter-site coherence in weakly coupled photosynthetic complexes},
author = {Monahan, Daniele M. and Whaley-Mayda, Lukas and Ishizaki, Akihito and Fleming, Graham R.},
abstractNote = {Coherence oscillations measured in two-dimensional (2D) electronic spectra of pigment-protein complexes may have electronic, vibrational, or mixed-character vibronic origins, which depend on the degree of electronic-vibrational mixing. Oscillations from intrapigment vibrations can obscure the inter-site coherence lifetime of interest in elucidating the mechanisms of energy transfer in photosynthetic light-harvesting. Huang-Rhys factors (S) for low-frequency vibrations in Chlorophyll and Bacteriochlorophyll are quite small (S ≤ 0.05), therefore it is often assumed that these vibrations influence neither 2D spectra nor inter-site coherence dynamics. In this work, we explore the influence of S within this range on the oscillatory signatures in simulated 2D spectra of a pigment heterodimer. To visualize the inter-site coherence dynamics underlying the 2D spectra, we introduce a formalism which we call the "site-probe response." By comparing the calculated 2D spectra with the site-probe response, we show that an on-resonance vibration with Huang-Rhys factor as small as S = 0.005 and the most strongly coupled off-resonance vibrations (S = 0.05) give rise to long-lived, purely vibrational coherences at 77 K. We moreover calculate the correlation between optical pump interactions and subsequent entanglement between sites, as measured by the concurrence. At 77 K, greater long-lived inter-site coherence and entanglement appear with increasing S. This dependence all but vanishes at physiological temperature, as environmentally induced fluctuations destroy the vibronic mixing.e},
doi = {10.1063/1.4928068},
journal = {Journal of Chemical Physics},
number = 6,
volume = 143,
place = {United States},
year = {Mon Aug 10 00:00:00 EDT 2015},
month = {Mon Aug 10 00:00:00 EDT 2015}
}

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

Citation Metrics:
Cited by: 30 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Vibrations, quanta and biology
journal, July 2013


Perspective: Detecting and measuring exciton delocalization in photosynthetic light harvesting
journal, March 2014

  • Scholes, Gregory D.; Smyth, Cathal
  • The Journal of Chemical Physics, Vol. 140, Issue 11
  • DOI: 10.1063/1.4869329

Coherently wired light-harvesting in photosynthetic marine algae at ambient temperature
journal, February 2010

  • Collini, Elisabetta; Wong, Cathy Y.; Wilk, Krystyna E.
  • Nature, Vol. 463, Issue 7281
  • DOI: 10.1038/nature08811

Non-perturbative calculation of 2D spectra in heterogeneous systems: Exciton relaxation in the FMO complex
journal, August 2007


High Frequency Vibrational Modulations in Two-Dimensional Electronic Spectra and Their Resemblance to Electronic Coherence Signatures
journal, May 2011

  • Christensson, N.; Milota, F.; Hauer, J.
  • The Journal of Physical Chemistry B, Vol. 115, Issue 18
  • DOI: 10.1021/jp109442b

Visualization of Excitonic Structure in the Fenna-Matthews-Olson Photosynthetic Complex by Polarization-Dependent Two-Dimensional Electronic Spectroscopy
journal, July 2008

  • Read, Elizabeth L.; Schlau-Cohen, Gabriela S.; Engel, Gregory S.
  • Biophysical Journal, Vol. 95, Issue 2
  • DOI: 10.1529/biophysj.107.128199

Impact of environmentally induced fluctuations on quantum mechanically mixed electronic and vibrational pigment states in photosynthetic energy transfer and 2D electronic spectra
journal, June 2015

  • Fujihashi, Yuta; Fleming, Graham R.; Ishizaki, Akihito
  • The Journal of Chemical Physics, Vol. 142, Issue 21
  • DOI: 10.1063/1.4914302

Noise-assisted energy transfer in quantum networks and light-harvesting complexes
journal, June 2010


The fundamental role of quantized vibrations in coherent light harvesting by cryptophyte algae
journal, November 2012

  • Kolli, Avinash; O’Reilly, Edward J.; Scholes, Gregory D.
  • The Journal of Chemical Physics, Vol. 137, Issue 17
  • DOI: 10.1063/1.4764100

Vibronic coherence in oxygenic photosynthesis
journal, July 2014

  • Fuller, Franklin D.; Pan, Jie; Gelzinis, Andrius
  • Nature Chemistry, Vol. 6, Issue 8
  • DOI: 10.1038/nchem.2005

Theoretical examination of quantum coherence in a photosynthetic system at physiological temperature
journal, October 2009

  • Ishizaki, A.; Fleming, G. R.
  • Proceedings of the National Academy of Sciences, Vol. 106, Issue 41
  • DOI: 10.1073/pnas.0908989106

Electronic resonance with anticorrelated pigment vibrations drives photosynthetic energy transfer outside the adiabatic framework
journal, December 2012

  • Tiwari, Vivek; Peters, William K.; Jonas, David M.
  • Proceedings of the National Academy of Sciences, Vol. 110, Issue 4
  • DOI: 10.1073/pnas.1211157110

Engineering Coherence Among Excited States in Synthetic Heterodimer Systems
journal, April 2013


Two-dimensional spectroscopy of a molecular dimer unveils the effects of vibronic coupling on exciton coherences
journal, January 2014

  • Halpin, Alexei; Johnson, Philip J. M.; Tempelaar, Roel
  • Nature Chemistry, Vol. 6, Issue 3
  • DOI: 10.1038/nchem.1834

Vibrational vs. electronic coherences in 2D spectrum of molecular systems
journal, August 2012


Vibrational Beatings Conceal Evidence of Electronic Coherence in the FMO Light-Harvesting Complex
journal, October 2014

  • Tempelaar, Roel; Jansen, Thomas L. C.; Knoester, Jasper
  • The Journal of Physical Chemistry B, Vol. 118, Issue 45
  • DOI: 10.1021/jp510074q

Exciton coupling induces vibronic hyperchromism in light-harvesting complexes
journal, April 2014


Quantum superpositions in photosynthetic light harvesting: delocalization and entanglement
journal, May 2010


Mapping the Evolution of Spatial Exciton Coherence through Time-Resolved Fluorescence
journal, April 2014

  • Tempelaar, Roel; Spano, Frank C.; Knoester, Jasper
  • The Journal of Physical Chemistry Letters, Vol. 5, Issue 9
  • DOI: 10.1021/jz500488u

Explicit Correlated Exciton-Vibrational Dynamics of the FMO Complex
journal, May 2015


Determining the static electronic and vibrational energy correlations via two-dimensional electronic-vibrational spectroscopy
journal, May 2015

  • Dong, Hui; Lewis, Nicholas H. C.; Oliver, Thomas A. A.
  • The Journal of Chemical Physics, Vol. 142, Issue 17
  • DOI: 10.1063/1.4919684

Evidence for wavelike energy transfer through quantum coherence in photosynthetic systems
journal, April 2007

  • Engel, Gregory S.; Calhoun, Tessa R.; Read, Elizabeth L.
  • Nature, Vol. 446, Issue 7137
  • DOI: 10.1038/nature05678

Entanglement dynamics of two qubits coupled individually to Ohmic baths
journal, July 2013

  • Duan, Liwei; Wang, Hui; Chen, Qing-Hu
  • The Journal of Chemical Physics, Vol. 139, Issue 4
  • DOI: 10.1063/1.4816122

A witness for coherent electronic vs vibronic-only oscillations in ultrafast spectroscopy
journal, June 2012

  • Yuen-Zhou, Joel; Krich, Jacob J.; Aspuru-Guzik, Alán
  • The Journal of Chemical Physics, Vol. 136, Issue 23
  • DOI: 10.1063/1.4725498

Photosynthetic Excitons
book, January 2000

  • van Amerongen, Herbert; van Grondelle, Rienk; Valkunas, Leonas
  • World Scientific
  • DOI: 10.1142/3609

Distinguishing Electronic and Vibronic Coherence in 2D Spectra by Their Temperature Dependence
journal, January 2014

  • Perlík, Václav; Lincoln, Craig; Šanda, František
  • The Journal of Physical Chemistry Letters, Vol. 5, Issue 3
  • DOI: 10.1021/jz402468c

Coherence in Energy Transfer and Photosynthesis
journal, April 2015


Environment-assisted quantum walks in photosynthetic energy transfer
journal, November 2008

  • Mohseni, Masoud; Rebentrost, Patrick; Lloyd, Seth
  • The Journal of Chemical Physics, Vol. 129, Issue 17
  • DOI: 10.1063/1.3002335

Measuring correlated electronic and vibrational spectral dynamics using line shapes in two-dimensional electronic-vibrational spectroscopy
journal, May 2015

  • Lewis, Nicholas H. C.; Dong, Hui; Oliver, Thomas A. A.
  • The Journal of Chemical Physics, Vol. 142, Issue 17
  • DOI: 10.1063/1.4919686

Direct evidence of quantum transport in photosynthetic light-harvesting complexes
journal, December 2011

  • Panitchayangkoon, G.; Voronine, D. V.; Abramavicius, D.
  • Proceedings of the National Academy of Sciences, Vol. 108, Issue 52
  • DOI: 10.1073/pnas.1105234108

Entanglement of Formation of an Arbitrary State of Two Qubits
journal, March 1998


Phase-stabilized two-dimensional electronic spectroscopy
journal, September 2004

  • Brixner, Tobias; Mančal, Tomáš; Stiopkin, Igor V.
  • The Journal of Chemical Physics, Vol. 121, Issue 9
  • DOI: 10.1063/1.1776112

Correlating the motion of electrons and nuclei with two-dimensional electronic-vibrational spectroscopy
journal, June 2014

  • Oliver, T. A. A.; Lewis, N. H. C.; Fleming, G. R.
  • Proceedings of the National Academy of Sciences, Vol. 111, Issue 28
  • DOI: 10.1073/pnas.1409207111

Practical witness for electronic coherences
journal, December 2014

  • Johnson, Allan S.; Yuen-Zhou, Joel; Aspuru-Guzik, Alán
  • The Journal of Chemical Physics, Vol. 141, Issue 24
  • DOI: 10.1063/1.4903982

Vibronic Enhancement of Exciton Sizes and Energy Transport in Photosynthetic Complexes
journal, February 2011

  • Womick, Jordan M.; Moran, Andrew M.
  • The Journal of Physical Chemistry B, Vol. 115, Issue 6
  • DOI: 10.1021/jp106713q

Efficient energy transfer in light-harvesting systems: Quantum-classical comparison, flux network, and robustness analysis
journal, November 2012

  • Wu, Jianlan; Liu, Fan; Ma, Jian
  • The Journal of Chemical Physics, Vol. 137, Issue 17
  • DOI: 10.1063/1.4762839

Vibronic phenomena and exciton–vibrational interference in two-dimensional spectra of molecular aggregates
journal, January 2014

  • Butkus, Vytautas; Valkunas, Leonas; Abramavicius, Darius
  • The Journal of Chemical Physics, Vol. 140, Issue 3
  • DOI: 10.1063/1.4861466

Demonstration and interpretation of significant asymmetry in the low-resolution and high-resolution Q y fluorescence and absorption spectra of bacteriochlorophyll a
journal, January 2011

  • Rätsep, Margus; Cai, Zheng-Li; Reimers, Jeffrey R.
  • The Journal of Chemical Physics, Vol. 134, Issue 2
  • DOI: 10.1063/1.3518685

Two-dimensional spectroscopy of electronic couplings in photosynthesis
journal, March 2005

  • Brixner, Tobias; Stenger, Jens; Vaswani, Harsha M.
  • Nature, Vol. 434, Issue 7033
  • DOI: 10.1038/nature03429

Spatial propagation of excitonic coherence enables ratcheted energy transfer
journal, October 2012


Beating Signals in 2D Spectroscopy: Electronic or Nuclear Coherences? Application to a Quantum Dot Model System
journal, August 2013

  • Seibt, Joachim; Pullerits, Tõnu
  • The Journal of Physical Chemistry C, Vol. 117, Issue 36
  • DOI: 10.1021/jp406103m

Long-lived quantum coherence in photosynthetic complexes at physiological temperature
journal, July 2010

  • Panitchayangkoon, G.; Hayes, D.; Fransted, K. A.
  • Proceedings of the National Academy of Sciences, Vol. 107, Issue 29
  • DOI: 10.1073/pnas.1005484107

Two-dimensional electronic spectroscopy of bacteriochlorophyll a in solution: Elucidating the coherence dynamics of the Fenna-Matthews-Olson complex using its chromophore as a control
journal, September 2012

  • Fransted, Kelly A.; Caram, Justin R.; Hayes, Dugan
  • The Journal of Chemical Physics, Vol. 137, Issue 12
  • DOI: 10.1063/1.4752107

Coherence Quantum Beats in Two-Dimensional Electronic Spectroscopy
journal, May 2008

  • Cheng, Yuan-Chung; Fleming, Graham R.
  • The Journal of Physical Chemistry A, Vol. 112, Issue 18
  • DOI: 10.1021/jp7107889

Quantum Coherence Enabled Determination of the Energy Landscape in Light-Harvesting Complex II
journal, December 2009

  • Calhoun, Tessa R.; Ginsberg, Naomi S.; Schlau-Cohen, Gabriela S.
  • The Journal of Physical Chemistry B, Vol. 113, Issue 51
  • DOI: 10.1021/jp908300c

Bacteriochlorophyll a Franck−Condon Factors for the S 0 → S 1 (Q y ) Transition
journal, December 2001

  • Zazubovich, V.; Tibe, I.; Small, G. J.
  • The Journal of Physical Chemistry B, Vol. 105, Issue 49
  • DOI: 10.1021/jp012804m

Coherent Picosecond Exciton Dynamics in a Photosynthetic Reaction Center
journal, October 2012

  • Westenhoff, Sebastian; Palec̆ek, David; Edlund, Petra
  • Journal of the American Chemical Society, Vol. 134, Issue 40
  • DOI: 10.1021/ja3065478

Influence of Site-Dependent Pigment–Protein Interactions on Excitation Energy Transfer in Photosynthetic Light Harvesting
journal, April 2013

  • Rivera, Eva; Montemayor, Daniel; Masia, Marco
  • The Journal of Physical Chemistry B, Vol. 117, Issue 18
  • DOI: 10.1021/jp4011586

Origin of long-lived oscillations in 2D-spectra of a quantum vibronic model: Electronic versus vibrational coherence
journal, December 2013

  • Plenio, M. B.; Almeida, J.; Huelga, S. F.
  • The Journal of Chemical Physics, Vol. 139, Issue 23
  • DOI: 10.1063/1.4846275

Quantum coherence in photosynthesis for efficient solar-energy conversion
journal, July 2014

  • Romero, Elisabet; Augulis, Ramunas; Novoderezhkin, Vladimir I.
  • Nature Physics, Vol. 10, Issue 9
  • DOI: 10.1038/nphys3017

Sudden Death of Entanglement
journal, January 2009


Distinctive character of electronic and vibrational coherences in disordered molecular aggregates
journal, November 2013


Dynamics of a Multimode System Coupled to Multiple Heat Baths Probed by Two-Dimensional Infrared Spectroscopy
journal, September 2007

  • Ishizaki, Akihito; Tanimura, Yoshitaka
  • The Journal of Physical Chemistry A, Vol. 111, Issue 38
  • DOI: 10.1021/jp072880a

Sudden death and birth of entanglement beyond the Markovian approximation
journal, May 2009


Entanglement of a Pair of Quantum Bits
journal, June 1997


A classical theory of pump–probe photodissociation for arbitrary pulse durations
journal, September 1990

  • Fried, Laurence E.; Mukamel, Shaul
  • The Journal of Chemical Physics, Vol. 93, Issue 5
  • DOI: 10.1063/1.458840

Enhancement of Vibronic and Ground-State Vibrational Coherences in 2D Spectra of Photosynthetic Complexes
journal, June 2013

  • Chenu, Aurélia; Christensson, Niklas; Kauffmann, Harald F.
  • Scientific Reports, Vol. 3, Issue 1
  • DOI: 10.1038/srep02029

Dynamics of Light Harvesting in Photosynthesis
journal, May 2009


Environment-assisted quantum transport
journal, March 2009


Quantum Coherence in Photosynthetic Light Harvesting
journal, March 2012


Dark periods and revivals of entanglement in a two-qubit system
journal, August 2006


Elucidation of the timescales and origins of quantum electronic coherence in LHCII
journal, March 2012

  • Schlau-Cohen, Gabriela S.; Ishizaki, Akihito; Calhoun, Tessa R.
  • Nature Chemistry, Vol. 4, Issue 5
  • DOI: 10.1038/nchem.1303

Nonphotochemical hole burning of the native antenna complex of photosystem I (PSI-200)
journal, February 1989

  • Gillie, J. K.; Small, G. J.; Golbeck, J. H.
  • The Journal of Physical Chemistry, Vol. 93, Issue 4
  • DOI: 10.1021/j100341a085

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

Non-Markovianity-Assisted Steady State Entanglement
journal, April 2012


Vibrational relaxation of a molecule in a dense medium
journal, March 1973


Non-classicality of the molecular vibrations assisting exciton energy transfer at room temperature
journal, January 2014

  • O’Reilly, Edward J.; Olaya-Castro, Alexandra
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms4012

Origin of Long-Lived Coherences in Light-Harvesting Complexes
journal, June 2012

  • Christensson, Niklas; Kauffmann, Harald F.; Pullerits, Tõnu
  • The Journal of Physical Chemistry B, Vol. 116, Issue 25
  • DOI: 10.1021/jp304649c

Disentangling Electronic and Vibronic Coherences in Two-Dimensional Echo Spectra
journal, August 2013

  • Kreisbeck, Christoph; Kramer, Tobias; Aspuru-Guzik, Alán
  • The Journal of Physical Chemistry B, Vol. 117, Issue 32
  • DOI: 10.1021/jp405421d

Works referencing / citing this record:

Introduction to State-of-the-Art Multidimensional Time-Resolved Spectroscopy Methods
journal, June 2018


Coherent wavepackets in the Fenna–Matthews–Olson complex are robust to excitonic-structure perturbations caused by mutagenesis
journal, January 2018

  • Maiuri, Margherita; Ostroumov, Evgeny E.; Saer, Rafael G.
  • Nature Chemistry, Vol. 10, Issue 2
  • DOI: 10.1038/nchem.2910

Effects of Herzberg–Teller vibronic coupling on coherent excitation energy transfer
journal, November 2016

  • Zhang, Hou-Dao; Qiao, Qin; Xu, Rui-Xue
  • The Journal of Chemical Physics, Vol. 145, Issue 20
  • DOI: 10.1063/1.4968031

Recent advances in multidimensional ultrafast spectroscopy
journal, January 2018


Coherent wavepackets in the Fenna-Matthews-Olson complex are robust to excitonic-structure perturbations caused by mutagenesis
journal, January 2019


Introduction to State-of-the-Art Multidimensional Time-Resolved Spectroscopy Methods
book, June 2018


Effects of Herzberg--Teller vibronic coupling on coherent excitation energy transfer
text, January 2016


Recent advances in multidimensional ultrafast spectroscopy
journal, January 2018