This content will become publicly available on August 15, 2020
Combining the mapping Hamiltonian linearized semiclassical approach with the generalized quantum master equation to simulate electronically nonadiabatic molecular dynamics
- Authors:
- Department of Chemistry, University of Michigan, Ann Arbor, Michigan 48109, USA
- Department of Chemistry, University of Michigan, Ann Arbor, Michigan 48109, USA, Department of Chemistry and Biochemistry, Kent State University, Kent, Ohio 44242, USA
- Department of Chemistry and Biochemistry, Kent State University, Kent, Ohio 44242, USA
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1557380
- Grant/Contract Number:
- SC0016501
- Resource Type:
- Publisher's Accepted Manuscript
- Journal Name:
- Journal of Chemical Physics
- Additional Journal Information:
- Journal Name: Journal of Chemical Physics Journal Volume: 151 Journal Issue: 7; Journal ID: ISSN 0021-9606
- Publisher:
- American Institute of Physics
- Country of Publication:
- United States
- Language:
- English
Citation Formats
Mulvihill, Ellen, Gao, Xing, Liu, Yudan, Schubert, Alexander, Dunietz, Barry D., and Geva, Eitan. Combining the mapping Hamiltonian linearized semiclassical approach with the generalized quantum master equation to simulate electronically nonadiabatic molecular dynamics. United States: N. p., 2019.
Web. doi:10.1063/1.5110891.
Mulvihill, Ellen, Gao, Xing, Liu, Yudan, Schubert, Alexander, Dunietz, Barry D., & Geva, Eitan. Combining the mapping Hamiltonian linearized semiclassical approach with the generalized quantum master equation to simulate electronically nonadiabatic molecular dynamics. United States. doi:10.1063/1.5110891.
Mulvihill, Ellen, Gao, Xing, Liu, Yudan, Schubert, Alexander, Dunietz, Barry D., and Geva, Eitan. Wed .
"Combining the mapping Hamiltonian linearized semiclassical approach with the generalized quantum master equation to simulate electronically nonadiabatic molecular dynamics". United States. doi:10.1063/1.5110891.
@article{osti_1557380,
title = {Combining the mapping Hamiltonian linearized semiclassical approach with the generalized quantum master equation to simulate electronically nonadiabatic molecular dynamics},
author = {Mulvihill, Ellen and Gao, Xing and Liu, Yudan and Schubert, Alexander and Dunietz, Barry D. and Geva, Eitan},
abstractNote = {},
doi = {10.1063/1.5110891},
journal = {Journal of Chemical Physics},
number = 7,
volume = 151,
place = {United States},
year = {2019},
month = {8}
}
Free Publicly Available Full Text
This content will become publicly available on August 15, 2020
Publisher's Version of Record
DOI: 10.1063/1.5110891
Other availability
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
On the adiabatic representation of Meyer-Miller electronic-nuclear dynamics
journal, August 2017
- Cotton, Stephen J.; Liang, Ruibin; Miller, William H.
- The Journal of Chemical Physics, Vol. 147, Issue 6
A classical analog for electronic degrees of freedom in nonadiabatic collision processes
journal, April 1979
- Meyera), Hans‐Dieter; Miller, William H.
- The Journal of Chemical Physics, Vol. 70, Issue 7
Design of Organic Dyes and Cobalt Polypyridine Redox Mediators for High-Efficiency Dye-Sensitized Solar Cells
journal, November 2010
- Feldt, Sandra M.; Gibson, Elizabeth A.; Gabrielsson, Erik
- Journal of the American Chemical Society, Vol. 132, Issue 46
Application of Redfield theory to optical dephasing and line shape of electronic transitions in molecular mixed crystals
journal, January 1979
- de Bree, Philippus; Wiersma, Douwe A.
- The Journal of Chemical Physics, Vol. 70, Issue 2
Symmetrical windowing for quantum states in quasi-classical trajectory simulations: Application to electronically non-adiabatic processes
journal, December 2013
- Cotton, Stephen J.; Miller, William H.
- The Journal of Chemical Physics, Vol. 139, Issue 23
Coherent Nuclear and Electronic Dynamics in Primary Charge Separation in Photosynthetic Reaction Centers: A Redfield Theory Approach
journal, June 2004
- Novoderezhkin, Vladimir I.; Yakovlev, Andrey G.; van Grondelle, Rienk
- The Journal of Physical Chemistry B, Vol. 108, Issue 22
Photonic Switching of Photoinduced Electron Transfer in a Dithienylethene−Porphyrin−Fullerene Triad Molecule
journal, July 2002
- Liddell, Paul A.; Kodis, Gerdenis; Moore, Ana L.
- Journal of the American Chemical Society, Vol. 124, Issue 26
A derivation of the mixed quantum-classical Liouville equation from the influence functional formalism
journal, August 2004
- Shi, Qiang; Geva, Eitan
- The Journal of Chemical Physics, Vol. 121, Issue 8
Vibrational Energy Relaxation Rates via the Linearized Semiclassical Approximation: Applications to Neat Diatomic Liquids and Atomic−Diatomic Liquid Mixtures
journal, June 2005
- Ka, Being J.; Shi, Qiang; Geva, Eitan
- The Journal of Physical Chemistry A, Vol. 109, Issue 25
Communication: Partial linearized density matrix dynamics for dissipative, non-adiabatic quantum evolution
journal, November 2011
- Huo, Pengfei; Coker, David F.
- The Journal of Chemical Physics, Vol. 135, Issue 20
A comparison between different semiclassical approximations for optical response functions in nonpolar liquid solutions
journal, February 2005
- Shi, Qiang; Geva, Eitan
- The Journal of Chemical Physics, Vol. 122, Issue 6
Mapping quantum-classical Liouville equation: Projectors and trajectories
journal, February 2012
- Kelly, Aaron; van Zon, Ramses; Schofield, Jeremy
- The Journal of Chemical Physics, Vol. 136, Issue 8
Organic Redox Couples and Organic Counter Electrode for Efficient Organic Dye-Sensitized Solar Cells
journal, June 2011
- Tian, Haining; Yu, Ze; Hagfeldt, Anders
- Journal of the American Chemical Society, Vol. 133, Issue 24
On the adequacy of the Redfield equation and related approaches to the study of quantum dynamics in electronic energy transfer
journal, June 2009
- Ishizaki, Akihito; Fleming, Graham R.
- The Journal of Chemical Physics, Vol. 130, Issue 23
Simulation of Coherent Nonadiabatic Dynamics Using Classical Trajectories
journal, June 1998
- Donoso, Arnaldo; Martens, Craig C.
- The Journal of Physical Chemistry A, Vol. 102, Issue 23
Ring polymer molecular dynamics with surface hopping
journal, December 2012
- Shushkov, Philip; Li, Richard; Tully, John C.
- The Journal of Chemical Physics, Vol. 137, Issue 22
A modified approach for simulating electronically nonadiabatic dynamics via the generalized quantum master equation
journal, January 2019
- Mulvihill, Ellen; Schubert, Alexander; Sun, Xiang
- The Journal of Chemical Physics, Vol. 150, Issue 3
Decoherence-induced surface hopping
journal, December 2012
- Jaeger, Heather M.; Fischer, Sean; Prezhdo, Oleg V.
- The Journal of Chemical Physics, Vol. 137, Issue 22
Understanding the Surface Hopping View of Electronic Transitions and Decoherence
journal, May 2016
- Subotnik, Joseph E.; Jain, Amber; Landry, Brian
- Annual Review of Physical Chemistry, Vol. 67, Issue 1
Influence functionals with semiclassical propagators in combined forward–backward time
journal, January 1999
- Thompson, Keiran; Makri, Nancy
- The Journal of Chemical Physics, Vol. 110, Issue 3
Computational Study of Charge-Transfer Dynamics in the Carotenoid–Porphyrin–C 60 Molecular Triad Solvated in Explicit Tetrahydrofuran and Its Spectroscopic Signature
journal, May 2018
- Sun, Xiang; Zhang, Pengzhi; Lai, Yifan
- The Journal of Physical Chemistry C, Vol. 122, Issue 21
Quantum-classical Liouville dynamics in the mapping basis
journal, August 2008
- Kim, Hyojoon; Nassimi, Ali; Kapral, Raymond
- The Journal of Chemical Physics, Vol. 129, Issue 8
Mixed quantum-classical surface hopping dynamics
journal, April 2000
- Nielsen, Steve; Kapral, Raymond; Ciccotti, Giovanni
- The Journal of Chemical Physics, Vol. 112, Issue 15
The Semiclassical Initial Value Representation: A Potentially Practical Way for Adding Quantum Effects to Classical Molecular Dynamics Simulations
journal, April 2001
- Miller, William H.
- The Journal of Physical Chemistry A, Vol. 105, Issue 13
Nonadiabatic dynamics in open quantum-classical systems: Forward-backward trajectory solution
journal, December 2012
- Hsieh, Chang-Yu; Kapral, Raymond
- The Journal of Chemical Physics, Vol. 137, Issue 22
Charge transfer in organic molecules for solar cells: theoretical perspective
journal, January 2012
- Zhao, Yi; Liang, WanZhen
- Chem. Soc. Rev., Vol. 41, Issue 3
Propagation Methods for Quantum Molecular Dynamics
journal, October 1994
- Kosloff, R.
- Annual Review of Physical Chemistry, Vol. 45, Issue 1
Equilibrium Fermi’s Golden Rule Charge Transfer Rate Constants in the Condensed Phase: The Linearized Semiclassical Method vs Classical Marcus Theory
journal, October 2015
- Sun, Xiang; Geva, Eitan
- The Journal of Physical Chemistry A, Vol. 120, Issue 19
Sequential short-time propagation of quantum classical dynamics
journal, September 2002
- MacKernan, Donal; Kapral, Raymond; Ciccotti, Giovanni
- Journal of Physics: Condensed Matter, Vol. 14, Issue 40
Donor-to-Donor vs Donor-to-Acceptor Interfacial Charge Transfer States in the Phthalocyanine–Fullerene Organic Photovoltaic System
journal, October 2014
- Lee, Myeong H.; Dunietz, Barry D.; Geva, Eitan
- The Journal of Physical Chemistry Letters, Vol. 5, Issue 21
Tensor-Train Split-Operator Fourier Transform (TT-SOFT) Method: Multidimensional Nonadiabatic Quantum Dynamics
journal, August 2017
- Greene, Samuel M.; Batista, Victor S.
- Journal of Chemical Theory and Computation, Vol. 13, Issue 9
Surface hopping with a manifold of electronic states. I. Incorporating surface-leaking to capture lifetimes
journal, February 2015
- Ouyang, Wenjun; Dou, Wenjie; Subotnik, Joseph E.
- The Journal of Chemical Physics, Vol. 142, Issue 8
Quantum decoherence in mixed quantum‐classical systems: Nonadiabatic processes
journal, November 1995
- Bittner, Eric R.; Rossky, Peter J.
- The Journal of Chemical Physics, Vol. 103, Issue 18
A semiclassical generalized quantum master equation for an arbitrary system-bath coupling
journal, June 2004
- Shi, Qiang; Geva, Eitan
- The Journal of Chemical Physics, Vol. 120, Issue 22
A new symmetrical quasi-classical model for electronically non-adiabatic processes: Application to the case of weak non-adiabatic coupling
journal, October 2016
- Cotton, Stephen J.; Miller, William H.
- The Journal of Chemical Physics, Vol. 145, Issue 14
Nonequilibrium Fermi golden rule for electronic transitions through conical intersections
journal, December 2011
- Izmaylov, Artur F.; Mendive–Tapia, David; Bearpark, Michael J.
- The Journal of Chemical Physics, Vol. 135, Issue 23
Modeling of ultrafast electron-transfer dynamics: multi-level Redfield theory and validity of approximations
journal, June 2001
- Egorova, Dassia; Kühl, Axel; Domcke, Wolfgang
- Chemical Physics, Vol. 268, Issue 1-3
Mixed quantum-classical dynamics
journal, May 1999
- Kapral, Raymond; Ciccotti, Giovanni
- The Journal of Chemical Physics, Vol. 110, Issue 18
Semiclassical description of electronically nonadiabatic dynamics via the initial value representation
journal, August 2007
- Ananth, Nandini; Venkataraman, Charulatha; Miller, William H.
- The Journal of Chemical Physics, Vol. 127, Issue 8
Efficient and accurate surface hopping for long time nonadiabatic quantum dynamics
journal, July 2013
- Kelly, Aaron; Markland, Thomas E.
- The Journal of Chemical Physics, Vol. 139, Issue 1
Metal-Free Organic Dyes for Dye-Sensitized Solar Cells: From Structure: Property Relationships to Design Rules
journal, March 2009
- Mishra, Amaresh; Fischer, Markus K. R.; Bäuerle, Peter
- Angewandte Chemie International Edition, Vol. 48, Issue 14
A variational solution of the time-dependent Schrodinger equation
journal, January 1964
- McLachlan, A. D.
- Molecular Physics, Vol. 8, Issue 1
Calculation from First Principles of Intramolecular Golden-Rule Rate Constants for Photo-Induced Electron Transfer in Molecular Donor–Acceptor Systems
journal, October 2013
- Lee, Myeong H.; Dunietz, Barry D.; Geva, Eitan
- The Journal of Physical Chemistry C, Vol. 117, Issue 44
Multilevel Redfield description of the dissipative dynamics at conical intersections
journal, January 2002
- Kühl, Axel; Domcke, Wolfgang
- The Journal of Chemical Physics, Vol. 116, Issue 1
Recent Progress in Surface Hopping: 2011–2015
journal, May 2016
- Wang, Linjun; Akimov, Alexey; Prezhdo, Oleg V.
- The Journal of Physical Chemistry Letters, Vol. 7, Issue 11
Vibrational Energy Relaxation of Polyatomic Molecules in Liquid Solution via the Linearized Semiclassical Method
journal, August 2006
- Ka, Being J.; Geva, Eitan
- The Journal of Physical Chemistry A, Vol. 110, Issue 31
Vibrational Energy Relaxation in Liquid HCl and DCl via the Linearized Semiclassical Method: Electrostriction versus Quantum Delocalization
journal, September 2011
- Vázquez, Francisco X.; Talapatra, Surma; Geva, Eitan
- The Journal of Physical Chemistry A, Vol. 115, Issue 35
A new approach to decoherence and momentum rescaling in the surface hopping algorithm
journal, January 2011
- Subotnik, Joseph E.; Shenvi, Neil
- The Journal of Chemical Physics, Vol. 134, Issue 2
On the identity of the identity operator in nonadiabatic linearized semiclassical dynamics
journal, February 2019
- Saller, Maximilian A. C.; Kelly, Aaron; Richardson, Jeremy O.
- The Journal of Chemical Physics, Vol. 150, Issue 7
A Simple Solution to the Trivial Crossing Problem in Surface Hopping
journal, January 2014
- Wang, Linjun; Prezhdo, Oleg V.
- The Journal of Physical Chemistry Letters, Vol. 5, Issue 4
Non-Condon nonequilibrium Fermi’s golden rule rates from the linearized semiclassical method
journal, August 2016
- Sun, Xiang; Geva, Eitan
- The Journal of Chemical Physics, Vol. 145, Issue 6
Global Flux Surface Hopping Approach for Mixed Quantum-Classical Dynamics
journal, June 2014
- Wang, Linjun; Trivedi, Dhara; Prezhdo, Oleg V.
- Journal of Chemical Theory and Computation, Vol. 10, Issue 9
Ensemble Method in the Theory of Irreversibility
journal, November 1960
- Zwanzig, Robert
- The Journal of Chemical Physics, Vol. 33, Issue 5
Approximate but accurate quantum dynamics from the Mori formalism: I. Nonequilibrium dynamics
journal, May 2016
- Montoya-Castillo, Andrés; Reichman, David R.
- The Journal of Chemical Physics, Vol. 144, Issue 18
Quantum-classical Liouville approach to molecular dynamics: Surface hopping Gaussian phase-space packets
journal, December 2002
- Horenko, Illia; Salzmann, Christian; Schmidt, Burkhard
- The Journal of Chemical Physics, Vol. 117, Issue 24
Mean-field dynamics with stochastic decoherence (MF-SD): A new algorithm for nonadiabatic mixed quantum/classical molecular-dynamics simulations with nuclear-induced decoherence
journal, December 2005
- Bedard-Hearn, Michael J.; Larsen, Ross E.; Schwartz, Benjamin J.
- The Journal of Chemical Physics, Vol. 123, Issue 23
Vibrational Energy Relaxation Rates via the Linearized Semiclassical Method without Force Derivatives
journal, May 2010
- Vázquez, Francisco X.; Navrotskaya, Irina; Geva, Eitan
- The Journal of Physical Chemistry A, Vol. 114, Issue 18
Time-convolutionless master equation for mesoscopic electron-phonon systems
journal, September 2006
- Pereverzev, Andrey; Bittner, Eric R.
- The Journal of Chemical Physics, Vol. 125, Issue 10
Flow of zero-point energy and exploration of phase space in classical simulations of quantum relaxation dynamics
journal, July 1999
- Stock, Gerhard; Müller, Uwe
- The Journal of Chemical Physics, Vol. 111, Issue 1
Coupling of protein motion to electron transfer in a photosynthetic reaction center: investigating the low temperature behavior in the framework of the spin—boson model
journal, May 1994
- Xu, Dong; Schulten, Klaus
- Chemical Physics, Vol. 182, Issue 2-3
Accurate Long-Time Mixed Quantum-Classical Liouville Dynamics via the Transfer Tensor Method
journal, November 2016
- Kananenka, Alexei A.; Hsieh, Chang-Yu; Cao, Jianshu
- The Journal of Physical Chemistry Letters, Vol. 7, Issue 23
A Symmetrical Quasi-Classical Spin-Mapping Model for the Electronic Degrees of Freedom in Non-Adiabatic Processes
journal, August 2015
- Cotton, Stephen J.; Miller, William H.
- The Journal of Physical Chemistry A, Vol. 119, Issue 50
Symmetrical windowing for quantum states in quasi-classical trajectory simulations: Application to electron transfer
journal, August 2014
- Cotton, Stephen J.; Igumenshchev, Kirill; Miller, William H.
- The Journal of Chemical Physics, Vol. 141, Issue 8
Non-Condon equilibrium Fermi’s golden rule electronic transition rate constants via the linearized semiclassical method
journal, June 2016
- Sun, Xiang; Geva, Eitan
- The Journal of Chemical Physics, Vol. 144, Issue 24
Entropic Changes Control the Charge Separation Process in Triads Mimicking Photosynthetic Charge Separation
journal, May 2008
- Rizzi, Alberto C.; van Gastel, Maurice; Liddell, Paul A.
- The Journal of Physical Chemistry A, Vol. 112, Issue 18
Exact calculation of the time convolutionless master equation generator: Application to the nonequilibrium resonant level model
journal, December 2015
- Kidon, Lyran; Wilner, Eli Y.; Rabani, Eran
- The Journal of Chemical Physics, Vol. 143, Issue 23
Nonequilibrium quantum dynamics in the condensed phase via the generalized quantum master equation
journal, July 2006
- Zhang, Ming-Liang; Ka, Being J.; Geva, Eitan
- The Journal of Chemical Physics, Vol. 125, Issue 4
A nonequilibrium golden rule formula for electronic state populations in nonadiabatically coupled systems
journal, July 1994
- Coalson, Rob D.; Evans, Deborah G.; Nitzan, Abraham
- The Journal of Chemical Physics, Vol. 101, Issue 1
A Benchmark Study of Different Methods for Calculating One- And Two-Dimensional Optical Spectra
journal, October 2009
- McRobbie, Porscha L.; Geva, Eitan
- The Journal of Physical Chemistry A, Vol. 113, Issue 39
Accurate nonadiabatic quantum dynamics on the cheap: Making the most of mean field theory with master equations
journal, March 2015
- Kelly, Aaron; Brackbill, Nora; Markland, Thomas E.
- The Journal of Chemical Physics, Vol. 142, Issue 9
Charge-Transfer and Energy-Transfer Processes in π-Conjugated Oligomers and Polymers: A Molecular Picture
journal, November 2004
- Brédas, Jean-Luc; Beljonne, David; Coropceanu, Veaceslav
- Chemical Reviews, Vol. 104, Issue 11
Quantum Coherence in Photosynthetic Light Harvesting
journal, March 2012
- Ishizaki, Akihito; Fleming, Graham R.
- Annual Review of Condensed Matter Physics, Vol. 3, Issue 1
A comparison between different semiclassical approximations for optical response functions in nonpolar liquid solution. II. The signature of excited state dynamics on two-dimensional spectra
journal, September 2008
- Shi, Qiang; Geva, Eitan
- The Journal of Chemical Physics, Vol. 129, Issue 12
The Symmetrical Quasi-Classical Model for Electronically Non-Adiabatic Processes Applied to Energy Transfer Dynamics in Site-Exciton Models of Light-Harvesting Complexes
journal, February 2016
- Cotton, Stephen J.; Miller, William H.
- Journal of Chemical Theory and Computation, Vol. 12, Issue 3
A new approach to calculating the memory kernel of the generalized quantum master equation for an arbitrary system–bath coupling
journal, December 2003
- Shi, Qiang; Geva, Eitan
- The Journal of Chemical Physics, Vol. 119, Issue 23
Solution of the Redfield equation for the dissipative quantum dynamics of multilevel systems
journal, April 1994
- Pollard, W. Thomas; Friesner, Richard A.
- The Journal of Chemical Physics, Vol. 100, Issue 7
Trajectory Surface Hopping Approach to Nonadiabatic Molecular Collisions: The Reaction of H + with D 2
journal, July 1971
- Tully, John C.; Preston, Richard K.
- The Journal of Chemical Physics, Vol. 55, Issue 2
Trotter-Based Simulation of Quantum-Classical Dynamics †
journal, January 2008
- Mac Kernan, Dónal; Ciccotti, Giovanni; Kapral, Raymond
- The Journal of Physical Chemistry B, Vol. 112, Issue 2
Nonradiative Electronic Relaxation Rate Constants from Approximations Based on Linearizing the Path-Integral Forward−Backward Action
journal, July 2004
- Shi, Qiang; Geva, Eitan
- The Journal of Physical Chemistry A, Vol. 108, Issue 29
Nonequilibrium Fermi’s Golden Rule Charge Transfer Rates via the Linearized Semiclassical Method
journal, May 2016
- Sun, Xiang; Geva, Eitan
- Journal of Chemical Theory and Computation, Vol. 12, Issue 6
A unified theoretical framework for mapping models for the multi-state Hamiltonian
journal, November 2016
- Liu, Jian
- The Journal of Chemical Physics, Vol. 145, Issue 20
Symmetrical Windowing for Quantum States in Quasi-Classical Trajectory Simulations
journal, March 2013
- Cotton, Stephen J.; Miller, William H.
- The Journal of Physical Chemistry A, Vol. 117, Issue 32
Molecular dynamics with electronic transitions
journal, July 1990
- Tully, John C.
- The Journal of Chemical Physics, Vol. 93, Issue 2
Photoinduced Charge Separation and Charge Recombination to a Triplet State in a Carotene−Porphyrin−Fullerene Triad
journal, February 1997
- Liddell, Paul A.; Kuciauskas, Darius; Sumida, John P.
- Journal of the American Chemical Society, Vol. 119, Issue 6
Evaluation of quantum transition rates from quantum-classical molecular dynamics simulations
journal, October 1997
- Prezhdo, Oleg V.; Rossky, Peter J.
- The Journal of Chemical Physics, Vol. 107, Issue 15
Semiclassical-limit molecular dynamics on multiple electronic surfaces
journal, March 1997
- Martens, Craig C.; Fang, Jian-Yun
- The Journal of Chemical Physics, Vol. 106, Issue 12
Communication: Wigner functions in action-angle variables, Bohr-Sommerfeld quantization, the Heisenberg correspondence principle, and a symmetrical quasi-classical approach to the full electronic density matrix
journal, August 2016
- Miller, William H.; Cotton, Stephen J.
- The Journal of Chemical Physics, Vol. 145, Issue 8
Semiclassical theory of electronically nonadiabatic dynamics: Results of a linearized approximation to the initial value representation
journal, November 1998
- Sun, Xiong; Wang, Haobin; Miller, William H.
- The Journal of Chemical Physics, Vol. 109, Issue 17
Vibrational Energy Relaxation in Liquid Oxygen from a Semiclassical Molecular Dynamics Simulation
journal, October 2003
- Shi, Qiang; Geva, Eitan
- The Journal of Physical Chemistry A, Vol. 107, Issue 43