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Title: Coupled wave-packets for non-adiabatic molecular dynamics: a generalization of Gaussian wave-packet dynamics to multiple potential energy surfaces

Abstract

Accurate simulation of the non-adiabatic dynamics of molecules in excited electronic states is key to understanding molecular photo-physical processes. Here we present a novel method, based on a semiclassical approximation, that is as efficient as the commonly used mean field Ehrenfest or ad hoc surface hopping methods and properly accounts for interference and decoherence effects. This novel method is an extension of Heller's thawed Gaussian wave-packet dynamics that includes coupling between potential energy surfaces. By studying several standard test problems we demonstrate that the accuracy of the method can be systematically improved while maintaining high efficiency. The method is suitable for investigating the role of quantum coherence in the non-adiabatic dynamics of many-atom molecules.

Authors:
 [1];  [2];  [3]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division, Center for Nonlinear Studies
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division, Center for Nonlinear Studies and Center for Integrated Nanotechnologies
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1338745
Report Number(s):
LA-UR-16-20319
Journal ID: ISSN 2041-6520
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Chemical Science
Additional Journal Information:
Journal Volume: 7; Journal Issue: 8; Journal ID: ISSN 2041-6520
Publisher:
Royal Society of Chemistry
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; Inorganic and Physical Chemistry

Citation Formats

White, Alexander James, Tretiak, Sergei, and Mozyrsky, Dima V. Coupled wave-packets for non-adiabatic molecular dynamics: a generalization of Gaussian wave-packet dynamics to multiple potential energy surfaces. United States: N. p., 2016. Web. doi:10.1039/C6SC01319H.
White, Alexander James, Tretiak, Sergei, & Mozyrsky, Dima V. Coupled wave-packets for non-adiabatic molecular dynamics: a generalization of Gaussian wave-packet dynamics to multiple potential energy surfaces. United States. https://doi.org/10.1039/C6SC01319H
White, Alexander James, Tretiak, Sergei, and Mozyrsky, Dima V. Mon . "Coupled wave-packets for non-adiabatic molecular dynamics: a generalization of Gaussian wave-packet dynamics to multiple potential energy surfaces". United States. https://doi.org/10.1039/C6SC01319H. https://www.osti.gov/servlets/purl/1338745.
@article{osti_1338745,
title = {Coupled wave-packets for non-adiabatic molecular dynamics: a generalization of Gaussian wave-packet dynamics to multiple potential energy surfaces},
author = {White, Alexander James and Tretiak, Sergei and Mozyrsky, Dima V.},
abstractNote = {Accurate simulation of the non-adiabatic dynamics of molecules in excited electronic states is key to understanding molecular photo-physical processes. Here we present a novel method, based on a semiclassical approximation, that is as efficient as the commonly used mean field Ehrenfest or ad hoc surface hopping methods and properly accounts for interference and decoherence effects. This novel method is an extension of Heller's thawed Gaussian wave-packet dynamics that includes coupling between potential energy surfaces. By studying several standard test problems we demonstrate that the accuracy of the method can be systematically improved while maintaining high efficiency. The method is suitable for investigating the role of quantum coherence in the non-adiabatic dynamics of many-atom molecules.},
doi = {10.1039/C6SC01319H},
journal = {Chemical Science},
number = 8,
volume = 7,
place = {United States},
year = {Mon Apr 25 00:00:00 EDT 2016},
month = {Mon Apr 25 00:00:00 EDT 2016}
}

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Cited by: 17 works
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Works referenced in this record:

Ab Initio Molecular Dynamics
book, January 2009


Unified Approach for Molecular Dynamics and Density-Functional Theory
journal, November 1985


Solution of the Schrödinger equation by a spectral method
journal, September 1982


An accurate and efficient scheme for propagating the time dependent Schrödinger equation
journal, November 1984

  • Tal‐Ezer, H.; Kosloff, R.
  • The Journal of Chemical Physics, Vol. 81, Issue 9
  • DOI: 10.1063/1.448136

Unitary quantum time evolution by iterative Lanczos reduction
journal, November 1986

  • Park, Tae Jun; Light, J. C.
  • The Journal of Chemical Physics, Vol. 85, Issue 10
  • DOI: 10.1063/1.451548

Propagation Methods for Quantum Molecular Dynamics
journal, October 1994


Full-Dimensional Quantum State-to-State Nonadiabatic Dynamics for Photodissociation of Ammonia in its A -Band
journal, March 2014

  • Xie, Changjian; Ma, Jianyi; Zhu, Xiaolei
  • The Journal of Physical Chemistry Letters, Vol. 5, Issue 7
  • DOI: 10.1021/jz500227d

Dynamics of Water Dissociative Chemisorption on Ni(111): Effects of Impact Sites and Incident Angles
journal, April 2015


Zur Quantentheorie der Molekeln
journal, January 1927


Collisions between atoms and molecules at ordinary temperatures
journal, January 1949


Bemerkung �ber die angen�herte G�ltigkeit der klassischen Mechanik innerhalb der Quantenmechanik
journal, July 1927


Mean-trajectory approximation for charge- and energy-transfer processes at surfaces
journal, July 1985

  • Sawada, Shin-Ichi; Nitzan, Abraham; Metiu, Horia
  • Physical Review B, Vol. 32, Issue 2
  • DOI: 10.1103/PhysRevB.32.851

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
  • DOI: 10.1063/1.1675788

Molecular dynamics with electronic transitions
journal, July 1990

  • Tully, John C.
  • The Journal of Chemical Physics, Vol. 93, Issue 2
  • DOI: 10.1063/1.459170

Augmented Ehrenfest dynamics yields a rate for surface hopping
journal, April 2010

  • Subotnik, Joseph E.
  • The Journal of Chemical Physics, Vol. 132, Issue 13
  • DOI: 10.1063/1.3314248

Fewest-Switches Surface Hopping and Decoherence in Multiple Dimensions
journal, November 2011

  • Subotnik, Joseph E.
  • The Journal of Physical Chemistry A, Vol. 115, Issue 44
  • DOI: 10.1021/jp206557h

Breaking the Phonon Bottleneck in PbSe and CdSe Quantum Dots: Time-Domain Density Functional Theory of Charge Carrier Relaxation
journal, December 2008

  • Kilina, Svetlana V.; Kilin, Dmitri S.; Prezhdo, Oleg V.
  • ACS Nano, Vol. 3, Issue 1
  • DOI: 10.1021/nn800674n

On-the-fly ab initio molecular dynamics with multiconfigurational Ehrenfest method
journal, December 2012

  • Saita, Kenichiro; Shalashilin, Dmitrii V.
  • The Journal of Chemical Physics, Vol. 137, Issue 22
  • DOI: 10.1063/1.4734313

Nonadiabatic Excited-State Molecular Dynamics: Modeling Photophysics in Organic Conjugated Materials
journal, February 2014

  • Nelson, Tammie; Fernandez-Alberti, Sebastian; Roitberg, Adrian E.
  • Accounts of Chemical Research, Vol. 47, Issue 4
  • DOI: 10.1021/ar400263p

Advanced Capabilities of the PYXAID Program: Integration Schemes, Decoherence Effects, Multiexcitonic States, and Field-Matter Interaction
journal, January 2014

  • Akimov, Alexey V.; Prezhdo, Oleg V.
  • Journal of Chemical Theory and Computation, Vol. 10, Issue 2
  • DOI: 10.1021/ct400934c

Time-Domain Ab Initio Modeling of Photoinduced Dynamics at Nanoscale Interfaces
journal, April 2015


Ehrenfest approach to open double-well dynamics
journal, October 2015


Nonadiabatic Dynamics of Photoinduced Proton-Coupled Electron Transfer in a Solvated Phenol–Amine Complex
journal, August 2014

  • Goyal, Puja; Schwerdtfeger, Christine A.; Soudackov, Alexander V.
  • The Journal of Physical Chemistry B, Vol. 119, Issue 6
  • DOI: 10.1021/jp5126969

Appraisal of Surface Hopping as a Tool for Modeling Condensed Phase Linear Absorption Spectra
journal, August 2015

  • Petit, Andrew S.; Subotnik, Joseph E.
  • Journal of Chemical Theory and Computation, Vol. 11, Issue 9
  • DOI: 10.1021/acs.jctc.5b00510

An On-the-Fly Surface-Hopping Program JADE for Nonadiabatic Molecular Dynamics of Polyatomic Systems: Implementation and Applications
journal, March 2015

  • Du, Likai; Lan, Zhenggang
  • Journal of Chemical Theory and Computation, Vol. 11, Issue 4
  • DOI: 10.1021/ct501106d

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
  • DOI: 10.1063/1.4908032

Surface hopping with a manifold of electronic states. II. Application to the many-body Anderson-Holstein model
journal, February 2015

  • Dou, Wenjie; Nitzan, Abraham; Subotnik, Joseph E.
  • The Journal of Chemical Physics, Vol. 142, Issue 8
  • DOI: 10.1063/1.4908034

Surface hopping with a manifold of electronic states. III. Transients, broadening, and the Marcus picture
journal, June 2015

  • Dou, Wenjie; Nitzan, Abraham; Subotnik, Joseph E.
  • The Journal of Chemical Physics, Vol. 142, Issue 23
  • DOI: 10.1063/1.4922513

Nuclear Dynamics at Molecule–Metal Interfaces: A Pseudoparticle Perspective
journal, November 2015


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
  • DOI: 10.1063/1.470177

Coherent switching with decay of mixing: An improved treatment of electronic coherence for non-Born–Oppenheimer trajectories
journal, January 2004

  • Zhu, Chaoyuan; Nangia, Shikha; Jasper, Ahren W.
  • The Journal of Chemical Physics, Vol. 121, Issue 16
  • DOI: 10.1063/1.1793991

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
  • DOI: 10.1063/1.2131056

Nonadiabatic excited-state molecular dynamics: Treatment of electronic decoherence
journal, June 2013

  • Nelson, Tammie; Fernandez-Alberti, Sebastian; Roitberg, Adrian E.
  • The Journal of Chemical Physics, Vol. 138, Issue 22
  • DOI: 10.1063/1.4809568

Second-Quantized Surface Hopping
journal, October 2014


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
  • DOI: 10.1021/jz500025c

Mixed quantum-classical equilibrium in global flux surface hopping
journal, June 2015

  • Sifain, Andrew E.; Wang, Linjun; Prezhdo, Oleg V.
  • The Journal of Chemical Physics, Vol. 142, Issue 22
  • DOI: 10.1063/1.4922162

Fewest Switches Surface Hopping in Liouville Space
journal, September 2015

  • Wang, Linjun; Sifain, Andrew E.; Prezhdo, Oleg V.
  • The Journal of Physical Chemistry Letters, Vol. 6, Issue 19
  • DOI: 10.1021/acs.jpclett.5b01502

Decoherence Allows Model Reduction in Nonadiabatic Dynamics Simulations
journal, August 2015

  • Trivedi, Dhara J.; Prezhdo, Oleg V.
  • The Journal of Physical Chemistry A, Vol. 119, Issue 33
  • DOI: 10.1021/acs.jpca.5b05869

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
  • DOI: 10.1063/1.437910

Mapping approach to the semiclassical description of nonadiabatic quantum dynamics
journal, January 1999


Progress in the Theory of Mixed Quantum-Classical Dynamics
journal, May 2006


Matching-pursuit/split-operator-Fourier-transform simulations of excited-state nonadiabatic quantum dynamics in pyrazine
journal, September 2006

  • Chen, Xin; Batista, Victor S.
  • The Journal of Chemical Physics, Vol. 125, Issue 12
  • DOI: 10.1063/1.2356477

Electronically Nonadiabatic Dynamics via Semiclassical Initial Value Methods
journal, February 2009

  • Miller, William H.
  • The Journal of Physical Chemistry A, Vol. 113, Issue 8
  • DOI: 10.1021/jp809907p

Semiclassical nonadiabatic dynamics with quantum trajectories
journal, March 2005


Non-adiabatic molecular dynamics with complex quantum trajectories. II. The adiabatic representation
journal, December 2012

  • Zamstein, Noa; Tannor, David J.
  • The Journal of Chemical Physics, Vol. 137, Issue 22
  • DOI: 10.1063/1.4739846

Semiclassical Monte-Carlo approach for modelling non-adiabatic dynamics in extended molecules
journal, July 2013

  • Gorshkov, Vyacheslav N.; Tretiak, Sergei; Mozyrsky, Dmitry
  • Nature Communications, Vol. 4, Issue 1
  • DOI: 10.1038/ncomms3144

Kinetically constrained ring-polymer molecular dynamics for non-adiabatic chemical reactions
journal, February 2014

  • Menzeleev, Artur R.; Bell, Franziska; Miller, Thomas F.
  • The Journal of Chemical Physics, Vol. 140, Issue 6
  • DOI: 10.1063/1.4863919

Semiclassical Monte Carlo: A first principles approach to non-adiabatic molecular dynamics
journal, November 2014

  • White, Alexander J.; Gorshkov, Vyacheslav N.; Wang, Ruixi
  • The Journal of Chemical Physics, Vol. 141, Issue 18
  • DOI: 10.1063/1.4900988

Quantum-classical path integral: A rigorous approach to condensed phase dynamics
journal, July 2015

  • Makri, Nancy
  • International Journal of Quantum Chemistry, Vol. 115, Issue 18
  • DOI: 10.1002/qua.24975

Nonadiabatic Dynamics in Atomistic Environments: Harnessing Quantum-Classical Theory with Generalized Quantum Master Equations
journal, November 2015

  • Pfalzgraff, William C.; Kelly, Aaron; Markland, Thomas E.
  • The Journal of Physical Chemistry Letters, Vol. 6, Issue 23
  • DOI: 10.1021/acs.jpclett.5b02131

Communication: Fully coherent quantum state hopping
journal, October 2015

  • Martens, Craig C.
  • The Journal of Chemical Physics, Vol. 143, Issue 14
  • DOI: 10.1063/1.4933049

Multi-Electronic-State Molecular Dynamics:  A Wave Function Approach with Applications
journal, January 1996

  • Martinez, Todd J.; Ben-Nun, M.; Levine, R. D.
  • The Journal of Physical Chemistry, Vol. 100, Issue 19
  • DOI: 10.1021/jp953105a

A semiclasical justification for the use of non-spreading wavepackets in dynamics calculations
journal, November 1984


Matching-pursuit∕split-operator Fourier-transform simulations of nonadiabatic quantum dynamics
journal, March 2005

  • Wu, Yinghua; Herman, Michael F.; Batista, Victor S.
  • The Journal of Chemical Physics, Vol. 122, Issue 11
  • DOI: 10.1063/1.1881132

Time‐dependent approach to semiclassical dynamics
journal, February 1975

  • Heller, Eric J.
  • The Journal of Chemical Physics, Vol. 62, Issue 4
  • DOI: 10.1063/1.430620

Frozen Gaussians: A very simple semiclassical approximation
journal, September 1981

  • Heller, Eric J.
  • The Journal of Chemical Physics, Vol. 75, Issue 6
  • DOI: 10.1063/1.442382

Generalized Gaussian wave packet dynamics
journal, November 1987

  • Huber, Daniel; Heller, Eric J.
  • The Journal of Chemical Physics, Vol. 87, Issue 9
  • DOI: 10.1063/1.453647

Multidimensional variational Gaussian wave packet dynamics with application to photodissociation spectroscopy
journal, September 1990

  • Coalson, Rob D.; Karplus, Martin
  • The Journal of Chemical Physics, Vol. 93, Issue 6
  • DOI: 10.1063/1.458778

Gaussian wave-packet dynamics: Semiquantal and semiclassical phase-space formalism
journal, November 1994


Comparison of the propagation of semiclassical frozen Gaussian wave functions with quantum propagation for a highly excited anharmonic oscillator
journal, January 1986

  • Kluk, Edward; Herman, Michael F.; Davis, Heidi L.
  • The Journal of Chemical Physics, Vol. 84, Issue 1
  • DOI: 10.1063/1.450142

Quantum Dynamics with Gaussian Bases Defined by the Quantum Trajectories
journal, January 2016


Beyond Born-Oppenheimer
book, January 2006


Path‐integral treatment of multi‐mode vibronic coupling
journal, January 1994

  • Krempl, Stefan; Winterstetter, Manfred; Plöhn, Heiko
  • The Journal of Chemical Physics, Vol. 100, Issue 2
  • DOI: 10.1063/1.467253

A Wavepacket−Path Integral Method for Curve-Crossing Dynamics
journal, January 1996

  • Coalson, Rob D.
  • The Journal of Physical Chemistry, Vol. 100, Issue 19
  • DOI: 10.1021/jp9531826

Nonadiabatic semiclassical scattering. I. Analysis of generalized surface hopping procedures
journal, July 1984

  • Herman, Michael F.
  • The Journal of Chemical Physics, Vol. 81, Issue 2
  • DOI: 10.1063/1.447708

Non-adiabatic molecular dynamics by accelerated semiclassical Monte Carlo
journal, July 2015

  • White, Alexander J.; Gorshkov, Vyacheslav N.; Tretiak, Sergei
  • The Journal of Chemical Physics, Vol. 143, Issue 1
  • DOI: 10.1063/1.4923473

Phase-corrected surface hopping: Correcting the phase evolution of the electronic wavefunction
journal, July 2011

  • Shenvi, Neil; Subotnik, Joseph E.; Yang, Weitao
  • The Journal of Chemical Physics, Vol. 135, Issue 2
  • DOI: 10.1063/1.3603447

Semiclassical Real-Time Tunneling by Multiple Spawning of Classical Trajectories
journal, July 2000


Time-Sliced Thawed Gaussian Propagation Method for Simulations of Quantum Dynamics
journal, February 2016

  • Kong, Xiangmeng; Markmann, Andreas; Batista, Victor S.
  • The Journal of Physical Chemistry A, Vol. 120, Issue 19
  • DOI: 10.1021/acs.jpca.5b12192

Matching-pursuit for simulations of quantum processes
journal, April 2003

  • Wu, Yinghua; Batista, Victor S.
  • The Journal of Chemical Physics, Vol. 118, Issue 15
  • DOI: 10.1063/1.1560636

Ab Initio Multiple Spawning:  Photochemistry from First Principles Quantum Molecular Dynamics
journal, June 2000

  • Ben-Nun, M.; Quenneville, Jason; Martínez, Todd J.
  • The Journal of Physical Chemistry A, Vol. 104, Issue 22
  • DOI: 10.1021/jp994174i

Implementation of ab initio multiple spawning in the Molpro quantum chemistry package
journal, May 2008


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Coherent exciton-vibrational dynamics and energy transfer in conjugated organics
journal, June 2018

  • Nelson, Tammie R.; Ondarse-Alvarez, Dianelys; Oldani, Nicolas
  • Nature Communications, Vol. 9, Issue 1
  • DOI: 10.1038/s41467-018-04694-8

The best of both Reps—Diabatized Gaussians on adiabatic surfaces
journal, November 2016

  • Meek, Garrett A.; Levine, Benjamin G.
  • The Journal of Chemical Physics, Vol. 145, Issue 18
  • DOI: 10.1063/1.4966967

On-the-fly ab initio semiclassical evaluation of time-resolved electronic spectra
journal, December 2018

  • Begušić, Tomislav; Roulet, Julien; Vaníček, Jiří
  • The Journal of Chemical Physics, Vol. 149, Issue 24
  • DOI: 10.1063/1.5054586

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text, January 2018