Multistep Quantum Master Equation Theory for Response Functions in Four Wave Mixing Electronic Spectroscopy of Multichromophoric Macromolecules

Jang, Seog-Joo

doi:10.5012/bkcs.2012.33.3.997

Multistep Quantum Master Equation Theory for Response Functions in Four Wave Mixing Electronic Spectroscopy of Multichromophoric Macromolecules

Journal Article · Tue Mar 20 00:00:00 EDT 2012 · Bulletin of the Korean Chemical Society

DOI:https://doi.org/10.5012/bkcs.2012.33.3.997· OSTI ID:1751910

Jang, Seog-Joo ^[1]

Queens College of the City University of New York, Flushing, NY (United States)

This work provides an alternative derivation of third order response functions in four wave mixing spectroscopy of multichromophoric macromolecular systems considering only single exciton states. For the case of harmonic oscillator bath linearly and diagonally coupled to exciton states, closed form expressions showing all the explicit time dependences are derived. Here, these expressions can provide more solid physical basis for understanding 2-dimensional electronic spectroscopy signals. For more general cases of system-bath coupling, the quantum master equation (QME) approach is employed for the derivation of multistep time evolution equations for Green function-like operators. Solution of these equations is feasible at the level of 2nd order non-Markovian QME, and the new approach can account for inter-exciton coupling, dephasing, relaxation, and non-Markovian effects in a consistent manner.

View Accepted Manuscript (DOE)

Research Organization:: Queens College of the City University of New York, Flushing, NY (United States)

Sponsoring Organization:: US National Science Foundation CAREER; USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0001393

OSTI ID:: 1751910

Alternate ID(s):: OSTI ID: 21610367

Report Number(s):: DOE-Queens-1393--5

Journal Information:: Bulletin of the Korean Chemical Society, Journal Name: Bulletin of the Korean Chemical Society Journal Issue: 3 Vol. 33; ISSN 0253-2964

Publisher:: Korean Chemical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (34)

Light Harvesting Unsymmetrical Conjugated Dendrimders as Photosynthetic Mimics Peng, Zhonghua; Melinger, Joseph S.; Kleiman, Valeria Photosynthesis Research, Vol. 87, Issue 1 https://doi.org/10.1007/s11120-005-8534-x	journal	January 2006
Energy Transfer in Photosystem I of Cyanobacteria Synechococcus elongatus: Model Study with Structure-Based Semi-Empirical Hamiltonian and Experimental Spectral Density Yang, Mino; Damjanović, Ana; Vaswani, Harsha M. Biophysical Journal, Vol. 85, Issue 1 https://doi.org/10.1016/S0006-3495(03)74461-0	journal	July 2003
Ultrafast excitation energy transfer dynamics in photosynthetic pigment–protein complexes Renger, Thomas; May, Volkhard; Kühn, Oliver Physics Reports, Vol. 343, Issue 3 https://doi.org/10.1016/S0370-1573(00)00078-8	journal	March 2001
The mechanism of energy transfer in the antenna of photosynthetic purple bacteria Yang, Mino; Agarwal, Ritesh; Fleming, Graham R. Journal of Photochemistry and Photobiology A: Chemistry, Vol. 142, Issue 2-3 https://doi.org/10.1016/S1010-6030(01)00504-4	journal	September 2001
Towards optimization of device performance in conjugated polymer photovoltaics: Charge generation, transfer and transport in poly(p-phenylene-vinylene) polymer heterojunctions Chasteen, Stephanie V.; Sholin, Veronica; Carter, Sue A. Solar Energy Materials and Solar Cells, Vol. 92, Issue 6 https://doi.org/10.1016/j.solmat.2008.01.014	journal	June 2008
Photosynthetic apparatus of purple bacteria Hu, Xiche; Ritz, Thorsten; Damjanović, Ana Quarterly Reviews of Biophysics, Vol. 35, Issue 1 https://doi.org/10.1017/S0033583501003754	journal	February 2002
The architecture and function of the light-harvesting apparatus of purple bacteria: from single molecules to in vivo membranes Cogdell, Richard J.; Gall, Andrew; Köhler, Jürgen Quarterly Reviews of Biophysics, Vol. 39, Issue 3 https://doi.org/10.1017/S0033583506004434	journal	August 2006
Molecular Understanding of Organic Solar Cells: The Challenges Brédas, Jean-Luc; Norton, Joseph E.; Cornil, Jérôme Accounts of Chemical Research, Vol. 42, Issue 11 https://doi.org/10.1021/ar900099h	journal	November 2009
Coherent Two-Dimensional Optical Spectroscopy Cho, Minhaeng Chemical Reviews, Vol. 108, Issue 4 https://doi.org/10.1021/cr078377b	journal	April 2008
Probing Photophysical Processes in Individual Multichromophoric Dendrimers by Single-Molecule Spectroscopy Hofkens, Johan; Maus, Michael; Gensch, Thomas Journal of the American Chemical Society, Vol. 122, Issue 38 https://doi.org/10.1021/ja0012570	journal	September 2000
Wavelength and Temperature Dependence of the Femtosecond Pump−Probe Anisotropies in the Conjugated Polymer MEH-PPV: Implications for Energy-Transfer Dynamics Gaab, Kevin M.; Bardeen, Christopher J. The Journal of Physical Chemistry B, Vol. 108, Issue 15 https://doi.org/10.1021/jp036120l	journal	April 2004
Exciton Analysis in 2D Electronic Spectroscopy Cho, Minhaeng; Vaswani, Harsha M.; Brixner, Tobias The Journal of Physical Chemistry B, Vol. 109, Issue 21 https://doi.org/10.1021/jp050788d	journal	June 2005
Excitation Migration along Oligophenylenevinylene-Based Chiral Stacks: Delocalization Effects on Transport Dynamics Beljonne, D.; Hennebicq, E.; Daniel, C. The Journal of Physical Chemistry B, Vol. 109, Issue 21 https://doi.org/10.1021/jp050792p	journal	June 2005
Energy and Charge Transfer Dynamics in Fully Decorated Benzyl Ether Dendrimers and Their Disubstituted Analogues Ahn, Tai-Sang; Nantalaksakul, Arpornrat; Dasari, Raghunath R. The Journal of Physical Chemistry B, Vol. 110, Issue 48 https://doi.org/10.1021/jp0649706	journal	December 2006
Multichromophoric Förster Resonance Energy Transfer from B800 to B850 in the Light Harvesting Complex 2: Evidence for Subtle Energetic Optimization by Purple Bacteria ^† Jang, Seogjoo; Newton, Marshall D.; Silbey, Robert J. The Journal of Physical Chemistry B, Vol. 111, Issue 24 https://doi.org/10.1021/jp070111l	journal	June 2007
From Atomistic Modeling to Excitation Transfer and Two-Dimensional Spectra of the FMO Light-Harvesting Complex Olbrich, Carsten; Jansen, Thomas L. C.; Liebers, Jörg The Journal of Physical Chemistry B, Vol. 115, Issue 26 https://doi.org/10.1021/jp202619a	journal	July 2011
Photosynthetic Light-Harvesting: Reconciling Dynamics and Structure of Purple Bacterial LH2 Reveals Function of Photosynthetic Unit Sundström, Villy; Pullerits, Tõnu; van Grondelle, Rienk The Journal of Physical Chemistry B, Vol. 103, Issue 13 https://doi.org/10.1021/jp983722+	journal	March 1999
Evidence for wavelike energy transfer through quantum coherence in photosynthetic systems Engel, Gregory S.; Calhoun, Tessa R.; Read, Elizabeth L. Nature, Vol. 446, Issue 7137 https://doi.org/10.1038/nature05678	journal	April 2007
Coherently wired light-harvesting in photosynthetic marine algae at ambient temperature Collini, Elisabetta; Wong, Cathy Y.; Wilk, Krystyna E. Nature, Vol. 463, Issue 7281 https://doi.org/10.1038/nature08811	journal	February 2010
Interplay of slow bath fluctuations and energy transfer in 2D spectroscopy of the FMOlight-harvesting complex: benchmarking of simulation protocols Palmieri, Benoit; Abramavicius, Darius; Mukamel, Shaul Phys. Chem. Chem. Phys., Vol. 12, Issue 1 https://doi.org/10.1039/B916723D	journal	January 2010
Four wave mixing spectroscopy for a multilevel system Sung, Jaeyoung; Silbey, Robert J. The Journal of Chemical Physics, Vol. 115, Issue 20 https://doi.org/10.1063/1.1413979	journal	November 2001
Fourth-order quantum master equation and its Markovian bath limit Jang, Seogjoo; Cao, Jianshu; Silbey, Robert J. The Journal of Chemical Physics, Vol. 116, Issue 7 https://doi.org/10.1063/1.1445105	journal	February 2002
The role of long-lived dark states in the photoluminescence dynamics of phenylene vinylene conjugated polymers Lim, Sang-Hyun; Bjorklund, Thomas G.; Gaab, Kevin M. The Journal of Chemical Physics, Vol. 117, Issue 1 https://doi.org/10.1063/1.1481760	journal	July 2002
Theory of single molecule line shapes of multichromophoric macromolecules Jang, Seogjoo; Silbey, Robert J. The Journal of Chemical Physics, Vol. 118, Issue 20 https://doi.org/10.1063/1.1569239	journal	May 2003
Efficient and accurate simulations of two-dimensional electronic photon-echo signals: Illustration for a simple model of the Fenna–Matthews–Olson complex Sharp, Leah Z.; Egorova, Dassia; Domcke, Wolfgang The Journal of Chemical Physics, Vol. 132, Issue 1 https://doi.org/10.1063/1.3268705	journal	January 2010
Quantum oscillatory exciton migration in photosynthetic reaction centers Abramavicius, Darius; Mukamel, Shaul The Journal of Chemical Physics, Vol. 133, Issue 6 https://doi.org/10.1063/1.3458824	journal	August 2010
Simulation of the two-dimensional electronic spectra of the Fenna-Matthews-Olson complex using the hierarchical equations of motion method Chen, Liping; Zheng, Renhui; Jing, Yuanyuan The Journal of Chemical Physics, Vol. 134, Issue 19 https://doi.org/10.1063/1.3589982	journal	May 2011
Long-lived quantum coherence in photosynthetic complexes at physiological temperature Panitchayangkoon, G.; Hayes, D.; Fransted, K. A. Proceedings of the National Academy of Sciences, Vol. 107, Issue 29 https://doi.org/10.1073/pnas.1005484107	journal	July 2010
Spectroscopic Evidence for Excitonic Localization in Fractal Antenna Supermolecules Kopelman, Raoul; Shortreed, Michael; Shi, Zhong-You Physical Review Letters, Vol. 78, Issue 7 https://doi.org/10.1103/PhysRevLett.78.1239	journal	February 1997
Multichromophoric Förster Resonance Energy Transfer Jang, Seogjoo; Newton, Marshall D.; Silbey, Robert J. Physical Review Letters, Vol. 92, Issue 21 https://doi.org/10.1103/PhysRevLett.92.218301	journal	May 2004
Nobel Lecture: Semiconducting and metallic polymers: The fourth generation of polymeric materials Heeger, Alan J. Reviews of Modern Physics, Vol. 73, Issue 3 https://doi.org/10.1103/RevModPhys.73.681	journal	September 2001
Coherent Intrachain Energy Migration in a Conjugated Polymer at Room Temperature Collini, E.; Scholes, G. D. Science, Vol. 323, Issue 5912 https://doi.org/10.1126/science.1164016	journal	January 2009
T WO -D IMENSIONAL F EMTOSECOND S PECTROSCOPY Jonas, David M. Annual Review of Physical Chemistry, Vol. 54, Issue 1 https://doi.org/10.1146/annurev.physchem.54.011002.103907	journal	October 2003
Excitons in Conjugated Oligomer Aggregates, Films, and Crystals Spano, Frank C. Annual Review of Physical Chemistry, Vol. 57, Issue 1 https://doi.org/10.1146/annurev.physchem.57.032905.104557	journal	May 2006

Similar Records

Theory of multichromophoric coherent resonance energy transfer: A polaronic quantum master equation approach

Journal Article · Wed Jul 20 20:00:00 EDT 2011 · Journal of Chemical Physics · OSTI ID:1749886

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 Article · Sat Apr 06 20:00:00 EDT 2013 · Journal of Chemical Physics · OSTI ID:1751947

Related Subjects

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
Four-wave mixing spectroscopy
Multichromophoric macromolecules
Quantum master equation
Response function

Multistep Quantum Master Equation Theory for Response Functions in Four Wave Mixing Electronic Spectroscopy of Multichromophoric Macromolecules

Citation Formats

References (34)

Similar Records

Related Subjects