Quantum entanglement in photosynthetic light-harvesting complexes

Sarovar, Mohan; Ishizaki, Akihito; Fleming, Graham R.; Whaley, K. Birgitta

doi:10.1038/nphys1652

Title: Quantum entanglement in photosynthetic light-harvesting complexes

Abstract

Light harvesting components of photosynthetic organisms are complex, coupled, many-body quantum systems, in which electronic coherence has recently been shown to survive for relatively long time scales despite the decohering effects of their environments. Within this context, we analyze entanglement in multi-chromophoric light harvesting complexes, and establish methods for quantification of entanglement by presenting necessary and sufficient conditions for entanglement and by deriving a measure of global entanglement. These methods are then applied to the Fenna-Matthews-Olson (FMO) protein to extract the initial state and temperature dependencies of entanglement. We also show that while FMO in natural conditions largely contains bipartite entanglement between dimerized chromophores, a small amount of long-range and multipartite entanglement exists even at physiological temperatures. This constitutes the first rigorous quantification of entanglement in a biological system. Finally, we discuss the practical utilization of entanglement in densely packed molecular aggregates such as light harvesting complexes.

Authors:

Sarovar, Mohan ^[1]; Ishizaki, Akihito ^[2]; Fleming, Graham R. ^[2]; Whaley, K. Birgitta ^[1]

Univ. of California, Berkeley, CA (United States). Berkeley Center for Quantum Information and Computation and Dept. of Chemistry
Univ. of California, Berkeley, CA (United States). Dept. of Chemistry; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Physical Bioscience Division

Publication Date:: Sun Apr 25 00:00:00 EDT 2010

Research Org.:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences, and Biosciences Division; Defense Advanced Research Projects Agency (DARPA); Japan Society for the Promotion of Science (JSPS)

OSTI Identifier:: 1465468

Grant/Contract Number:: AC02-05CH11231; N66001-09-1-2026; AC03-76SF000098

Resource Type:: Accepted Manuscript

Journal Name:: Nature Physics

Additional Journal Information:: Journal Volume: 6; Journal Issue: 6; Journal ID: ISSN 1745-2473

Publisher:: Nature Publishing Group (NPG)

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 59 BASIC BIOLOGICAL SCIENCES

Citation Formats


                    Sarovar, Mohan, Ishizaki, Akihito, Fleming, Graham R., and Whaley, K. Birgitta. Quantum entanglement in photosynthetic light-harvesting complexes.  United States: N. p., 2010. 
Web.  doi:10.1038/nphys1652.

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                    Sarovar, Mohan, Ishizaki, Akihito, Fleming, Graham R., & Whaley, K. Birgitta. Quantum entanglement in photosynthetic light-harvesting complexes.  United States.  https://doi.org/10.1038/nphys1652

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                    Sarovar, Mohan, Ishizaki, Akihito, Fleming, Graham R., and Whaley, K. Birgitta. Sun .  
"Quantum entanglement in photosynthetic light-harvesting complexes".  United States.  https://doi.org/10.1038/nphys1652.  https://www.osti.gov/servlets/purl/1465468.

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@article{osti_1465468,

  title        = {Quantum entanglement in photosynthetic light-harvesting complexes},

  author       = {Sarovar, Mohan and Ishizaki, Akihito and Fleming, Graham R. and Whaley, K. Birgitta},

  abstractNote = {Light harvesting components of photosynthetic organisms are complex, coupled, many-body quantum systems, in which electronic coherence has recently been shown to survive for relatively long time scales despite the decohering effects of their environments. Within this context, we analyze entanglement in multi-chromophoric light harvesting complexes, and establish methods for quantification of entanglement by presenting necessary and sufficient conditions for entanglement and by deriving a measure of global entanglement. These methods are then applied to the Fenna-Matthews-Olson (FMO) protein to extract the initial state and temperature dependencies of entanglement. We also show that while FMO in natural conditions largely contains bipartite entanglement between dimerized chromophores, a small amount of long-range and multipartite entanglement exists even at physiological temperatures. This constitutes the first rigorous quantification of entanglement in a biological system. Finally, we discuss the practical utilization of entanglement in densely packed molecular aggregates such as light harvesting complexes.},

  doi          = {10.1038/nphys1652},

  journal      = {Nature Physics},

  number       = 6,

  volume       = 6,

  place        = {United States},

  year         = {Sun Apr 25 00:00:00 EDT 2010},

  month        = {Sun Apr 25 00:00:00 EDT 2010}

}

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Heat transport through lattices of quantum harmonic oscillators in arbitrary dimensions
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Hoyer, Stephan; Sarovar, Mohan; Whaley, K. Birgitta
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Title: Quantum entanglement in photosynthetic light-harvesting complexes

Abstract

Citation Formats

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Quantum entanglement text, January 2007

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Entanglement of a Pair of Quantum Bits text, January 1997

Exciton Delocalization Length in the B850 Antenna of Rhodobacter sphaeroides journal, January 1996

Superradiance and Exciton Delocalization in Bacterial Photosynthetic Light-Harvesting Systems journal, September 1997

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

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

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How Proteins Trigger Excitation Energy Transfer in the FMO Complex of Green Sulfur Bacteria journal, October 2006

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

Entanglement of a Pair of Quantum Bits text, January 1997

Generation of NOON States in Waveguide Arrays journal, October 2019

The radical pair mechanism and the avian chemical compass: Quantum coherence and entanglement journal, June 2015

Natural light harvesting systems: unraveling the quantum puzzles journal, November 2014

Nonlinear optical absorption of photosynthetic pigment molecules in leaves journal, March 2012

Steady bipartite coherence induced by non-equilibrium environment journal, October 2017

Perspective of dye-encapsulated conjugated polymer nanoparticles for potential applications journal, September 2018

Randomness and multilevel interactions in biology journal, May 2013

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

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

Quantum biology journal, December 2012

Quantum entanglement journal, April 2014

Local probe for connectivity and coupling strength in quantum complex networks journal, August 2018

Quantum entanglement of identical particles by standard information-theoretic notions journal, February 2016

Tracing feed-back driven exciton dynamics in molecular aggregates journal, January 2018

Ultrafast excitation energy transfer in a benzimidazole–naphthopyran donor–acceptor dyad journal, January 2019

Theory for polariton-assisted remote energy transfer journal, January 2018

Iterative linearized density matrix propagation for modeling coherent excitation energy transfer in photosynthetic light harvesting journal, November 2010

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

Dephasing-assisted transport: quantum networks and biomolecules
journal, November 2008

Discussion of Probability Relations between Separated Systems
journal, October 1935

Single-particle entanglement
journal, December 2005

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

Quantum-Enhanced Measurements: Beating the Standard Quantum Limit
journal, November 2004

Polarons, localization, and excitonic coherence in superradiance of biological antenna complexes
journal, September 1997

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

On the adequacy of the Redfield equation and related approaches to the study of quantum dynamics in electronic energy transfer
journal, June 2009

Experimental Evidence for Exciton Scaling Effects in Self-Assembled Molecular Wires
journal, December 2004

Unified treatment of quantum coherent and incoherent hopping dynamics in electronic energy transfer: Reduced hierarchy equation approach
journal, June 2009

On the Mechanism of Light Harvesting in Photosynthetic Purple Bacteria: B800 to B850 Energy Transfer
journal, March 2000

How Proteins Trigger Excitation Energy Transfer in the FMO Complex of Green Sulfur Bacteria
journal, October 2006

Separability Criterion for Density Matrices
journal, August 1996

Entanglement in many-body systems
journal, May 2008

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

Coherence Dynamics in Photosynthesis: Protein Protection of Excitonic Coherence
journal, June 2007

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

Coherence in the B800 Ring of Purple Bacteria LH2
journal, January 2006

Exciton Analysis in 2D Electronic Spectroscopy
journal, June 2005

Bacterial photosynthesis begins with quantum-mechanical coherence
journal, January 2001

Quantum entanglement
journal, June 2009

Exciton Delocalization Length in the B850 Antenna of Rhodobacter sphaeroides
journal, January 1996

Multichromophoric Förster Resonance Energy Transfer
journal, May 2004

Molecular Mechanisms of Photosynthesis
book, December 2002

Superradiance and Exciton Delocalization in Bacterial Photosynthetic Light-Harvesting Systems
journal, September 1997

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

Membrane orientation of the FMO antenna protein from Chlorobaculum tepidum as determined by mass spectrometry-based footprinting
journal, April 2009

Theory of Rapid Excitation-Energy Transfer from B800 to Optically-Forbidden Exciton States of B850 in the Antenna System LH2 of Photosynthetic Purple Bacteria
journal, July 1999

Die gegenw�rtige Situation in der Quantenmechanik
journal, November 1935

Beating the Standard Quantum Limit with Four-Entangled Photons
journal, May 2007

Entanglement of a Pair of Quantum Bits
journal, June 1997

Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
journal, May 1935

Quantifying Entanglement
journal, March 1997

Teleportation of a Vacuum–One-Photon Qubit
journal, January 2002

Enhanced quantum entanglement in the non-Markovian dynamics of biomolecular excitons
journal, August 2009

Perfect quantum state transfer with randomly coupled quantum chains
journal, January 2005

Solid state cavity QED: Strong coupling in organic thin films
journal, April 2007

Stochastic Liouville, Langevin, Fokker–Planck, and Master Equation Approaches to Quantum Dissipative Systems
journal, August 2006

Entanglement production in non-equilibrium thermodynamics
journal, January 2009

Nonequilibrium thermal entanglement
journal, March 2007

‘Designer atoms’ for quantum metrology
journal, September 2006

Quantifying entanglement in macroscopic systems
journal, June 2008

Die gegenw�rtige Situation in der Quantenmechanik
journal, December 1935

Quantifying entanglement in macroscopic systems
journal, January 2008

Entanglement Production in Non-Equilibrium Thermodynamics
preprint, January 2007

Enhanced quantum entanglement in the non-Markovian dynamics of biomolecular excitons
text, January 2008

Quantum entanglement
text, January 2007

Separability Criterion for Density Matrices
text, January 1996

Separability of Mixed States: Necessary and Sufficient Conditions
text, January 1996

Entanglement of a Pair of Quantum Bits
text, January 1997

Exciton Delocalization Length in the B850 Antenna of Rhodobacter sphaeroides
journal, January 1996

Superradiance and Exciton Delocalization in Bacterial Photosynthetic Light-Harvesting Systems
journal, September 1997

‘Designer atoms’ for quantum metrology
journal, September 2006

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

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

Entanglement production in non-equilibrium thermodynamics
journal, January 2009

How Proteins Trigger Excitation Energy Transfer in the FMO Complex of Green Sulfur Bacteria
journal, October 2006

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

Entanglement of a Pair of Quantum Bits
text, January 1997

Generation of NOON States in Waveguide Arrays
journal, October 2019

The radical pair mechanism and the avian chemical compass: Quantum coherence and entanglement
journal, June 2015

Natural light harvesting systems: unraveling the quantum puzzles
journal, November 2014

Nonlinear optical absorption of photosynthetic pigment molecules in leaves
journal, March 2012

Steady bipartite coherence induced by non-equilibrium environment
journal, October 2017

Perspective of dye-encapsulated conjugated polymer nanoparticles for potential applications
journal, September 2018

Randomness and multilevel interactions in biology
journal, May 2013

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

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

Quantum biology
journal, December 2012

Quantum entanglement
journal, April 2014

Local probe for connectivity and coupling strength in quantum complex networks
journal, August 2018

Quantum entanglement of identical particles by standard information-theoretic notions
journal, February 2016

Tracing feed-back driven exciton dynamics in molecular aggregates
journal, January 2018

Ultrafast excitation energy transfer in a benzimidazole–naphthopyran donor–acceptor dyad
journal, January 2019

Theory for polariton-assisted remote energy transfer
journal, January 2018

Iterative linearized density matrix propagation for modeling coherent excitation energy transfer in photosynthetic light harvesting
journal, November 2010

Coherent versus incoherent excitation energy transfer in molecular systems
journal, October 2012

Geometrical effects on energy transfer in disordered open quantum systems
journal, May 2013

Energy-scales convergence for optimal and robust quantum transport in photosynthetic complexes
journal, January 2014