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Title: Nonlinear Molecular Electronic Spectroscopy via MCTDH Quantum Dynamics: From Exact to Approximate Expressions

Journal Article · · Journal of Chemical Theory and Computation
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [1];  [3]; ORCiD logo [4]; ORCiD logo [1]; ORCiD logo [3]; ORCiD logo [1]
  1. Dipartimento di Chimica Industriale “Toso Montanari”, University of Bologna, Viale del Risorgimento, 4, 40136 Bologna, Italy
  2. ICMol, Universidad de Valencia, Catedrático José Beltrán Martínez, 2, 46980 Paterna, Spain, Istituto di Chimica dei Composti Organometallici (ICCOM-CNR), Area della Ricerca del CNR, Via Moruzzi 1, I-56124 Pisa, Italy
  3. Istituto di Chimica dei Composti Organometallici (ICCOM-CNR), Area della Ricerca del CNR, Via Moruzzi 1, I-56124 Pisa, Italy
  4. Department of Chemistry and Department of Physics and Astronomy, University of California, Irvine, California 92697, United States

We present an accurate and efficient approach to computing the linear and nonlinear optical spectroscopy of a closed quantum system subject to impulsive interactions with an incident electromagnetic field. It incorporates the effect of ultrafast nonadiabatic dynamics by means of explicit numerical propagation of the nuclear wave packet. The fundamental expressions for the evaluation of first- and higher-order response functions are recast in a general form that can be used with any quantum dynamics code capable of computing the overlap of nuclear wave packets evolving in different states. Here we present the evaluation of these expressions with the multiconfiguration time-dependent Hartree (MCTDH) method. Application is made to pyrene, excited to its lowest bright excited state S2 which exhibits a sub-100-fs nonadiabatic decay to a dark state S1. The system is described by a linear vibronic coupling Hamiltonian, parametrized with multiconfiguration electronic structure methods. We show that the ultrafast nonadiabatic dynamics can have a remarkable effect on the spectral line shapes that goes beyond simple lifetime broadening. Furthermore, a widely employed approximate expression based on the time scale separation of dephasing and population relaxation is recast in the same theoretical framework. Application to pyrene shows the range of validity of such approximations.

Research Organization:
Univ. of Bologna (Italy)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences & Biosciences Division
Grant/Contract Number:
SC0022225
OSTI ID:
1963355
Alternate ID(s):
OSTI ID: 1969196
Journal Information:
Journal of Chemical Theory and Computation, Journal Name: Journal of Chemical Theory and Computation Vol. 19 Journal Issue: 7; ISSN 1549-9618
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (74)

Semiclassical Path Integral Calculation of Nonlinear Optical Spectroscopy journal January 2018
The density matrix renormalization group in chemistry and molecular physics: Recent developments and new challenges journal January 2020
Multidimensional Quantum Dynamics book April 2009
Spin-Pure Stochastic-CASSCF via GUGA-FCIQMC Applied to Iron–Sulfur Clusters journal September 2021
UV-Light-Induced Vibrational Coherences: The Key to Understand Kasha Rule Violation in trans -Azobenzene journal March 2018
Modern quantum chemistry with [Open]Molcas journal June 2020
Quantum dynamics and spectroscopy of dihalogens in solid matrices. II. Theoretical aspects and G-MCTDH simulations of time-resolved coherent Raman spectra of Schrödinger cat states of the embedded I2Kr18 cluster journal February 2019
Vibronic Transitions and Quantum Dynamics in Molecular Oligomers: A Theoretical Analysis with an Application to Aggregates of Perylene Bisimides journal October 2009
Layered discrete variable representations and their application within the multiconfigurational time-dependent Hartree approach journal February 2009
Vibronic Spectra of π-Conjugated Systems with a Multitude of Coupled States: A Protocol Based on Linear Vibronic Coupling Models and Quantum Dynamics Tested on Hexahelicene journal February 2021
Bichromophoric Interactions and Time-Dependent Excited State Mixing in Pyrene Derivatives. A Femtosecond Broad-Band Pump−Probe Study journal June 2003
Ultrafast Dynamics of the Two Lowest Bright Excited States of Cytosine and 1-Methylcytosine: A Quantum Dynamical Study journal July 2020
Non-perturbative wave-packet calculations of time-resolved four-wave-mixing signals journal September 2000
Nonlinear spectroscopy in the condensed phase: The role of Duschinsky rotations and third order cumulant contributions journal July 2020
Quantics: A general purpose package for Quantum molecular dynamics simulations journal March 2020
An Efficient N 3 -Scaling Propagation Scheme for Simulating Two-Dimensional Infrared and Visible Spectra journal April 2012
Numerically “exact” approach to open quantum dynamics: The hierarchical equations of motion (HEOM) journal July 2020
Direct, Mediated, and Delayed Intramolecular Singlet Fission Mechanism in Donor–Acceptor Copolymers journal November 2020
Catching Conical Intersections in the Act: Monitoring Transient Electronic Coherences by Attosecond Stimulated X-Ray Raman Signals journal November 2015
Impulsive pump-probe and photon-echo spectroscopies of dye molecules in condensed phases journal December 1990
Vibronic exciton theory of singlet fission. III. How vibronic coupling and thermodynamics promote rapid triplet generation in pentacene crystals journal June 2018
Transient absorption and vibrational relaxation dynamics of the lowest excited singlet state of pyrene in solution journal May 1995
The Brownian oscillator model for solvation effects in spontaneous light emission and their relationship to electron transfer journal November 1994
Quantum Chemical Modeling of the Photoinduced Activity of Multichromophoric Biosystems: Focus Review journal July 2019
The multiconfiguration time-dependent Hartree (MCTDH) method: a highly efficient algorithm for propagating wavepackets journal January 2000
Time-resolved near-edge X-ray absorption fine structure of pyrazine from electronic structure and nuclear wave packet dynamics simulations journal September 2019
Nonperturbative approach to femtosecond spectroscopy: General theory and application to multidimensional nonadiabatic photoisomerization processes journal September 1995
Concepts and Methods of 2D Infrared Spectroscopy book January 2011
In Silico Ultrafast Nonlinear Spectroscopy Meets Experiments: The Case of Perylene Bisimide Dye journal October 2021
Multilayer multiconfiguration time-dependent Hartree method: Implementation and applications to a Henon–Heiles Hamiltonian and to pyrazine journal January 2011
Ultraviolet Transient Absorption Spectrometer with Sub-20-fs Time Resolution journal June 2018
Mixed Quantum/Classical Method for Nonadiabatic Quantum Dynamics in Explicit Solvent Models: The ππ */nπ* Decay of Thymine in Water as a Test Case journal January 2018
Highly efficient surface hopping dynamics using a linear vibronic coupling model journal January 2019
Charge and Energy Transfer Dynamics in Molecular Systems book February 2011
Parameterization of a linear vibronic coupling model with multiconfigurational electronic structure methods to study the quantum dynamics of photoexcited pyrene journal March 2021
Pyrene, a Test Case for Deep-Ultraviolet Molecular Photophysics journal May 2019
Modeling the high-energy electronic state manifold of adenine: Calibration for nonlinear electronic spectroscopy journal June 2015
Ultrafast Intersystem Crossing vs Internal Conversion in α-Diimine Transition Metal Complexes: Quantum Evidence journal August 2018
Visualizing conical intersection passages via vibronic coherence maps generated by stimulated ultrafast X-ray Raman signals journal September 2020
Numerical method for nonlinear optical spectroscopies: Ultrafast ultrafast spectroscopy journal June 2019
Hierarchical transformation of Hamiltonians with linear and quadratic couplings for nonadiabatic quantum dynamics: Application to the ππ*/ n π* internal conversion in thymine journal June 2012
Two-dimensional spectroscopy of electronic couplings in photosynthesis journal March 2005
How the Interplay among Conformational Disorder, Solvation, Local, and Charge-Transfer Excitations Affects the Absorption Spectrum and Photoinduced Dynamics of Perylene Diimide Dimers: A Molecular Dynamics/Quantum Vibronic Approach journal April 2022
OpenMolcas: From Source Code to Insight journal September 2019
Calculating nonlinear response functions for multidimensional electronic spectroscopy using dyadic non-Markovian quantum state diffusion journal September 2022
Vibronic and Environmental Effects in Simulations of Optical Spectroscopy journal January 2021
The origin of absorptive features in the two-dimensional electronic spectra of rhodopsin journal January 2018
Spectral lineshapes in nonlinear electronic spectroscopy journal January 2015
Two-dimensional vibronic spectroscopy of molecular aggregates: Trimers, dimers, and monomers journal August 2016
Diabatic Representation; Methods for the Construction of Diabatic Electronic States book July 2004
Probing spin–vibronic dynamics using femtosecond X-ray spectroscopy journal January 2016
Ultrafast Intersystem Crossing in Xanthone from Wavepacket Dynamics journal December 2021
Femtosecond x-ray absorption spectroscopy of pyrazine at the nitrogen K-edge: on the validity of the Lorentzian limit journal December 2021
Modelling of oscillations in two-dimensional echo-spectra of the Fenna–Matthews–Olson complex journal February 2012
Multimode Molecular Dynamics Beyond the Born-Oppenheimer Approximation book January 2007
A multilayer multiconfigurational time-dependent Hartree approach for quantum dynamics on general potential energy surfaces journal April 2008
Spin-Vibronic Mechanism for Intersystem Crossing journal March 2018
Ultrafast relaxation from 1La to 1Lb in pyrene: a theoretical study journal November 2018
Multilayer formulation of the multiconfiguration time-dependent Hartree theory journal July 2003
Direct Observation of S 2 –S 1 Internal Conversion in Pyrene by Femtosecond Transient Absorption journal January 1999
Coherent Multidimensional Optical Spectroscopy of Excitons in Molecular Aggregates; Quasiparticle versus Supermolecule Perspectives journal June 2009
On the Simulation of Two-dimensional Electronic Spectroscopy of Indole-containing Peptides journal July 2017
Nonperturbative quantum simulation of time-resolved nonlinear spectra: Methodology and application to electron transfer reactions in the condensed phase journal May 2008
Observation of the Sub-100 Femtosecond Population of a Dark State in a Thiobase Mediating Intersystem Crossing journal October 2018
Absorption and Fluorescence Lineshape Theory for Polynomial Potentials journal November 2016
Construction of Vibronic Diabatic Hamiltonian for Excited-State Electron and Energy Transfer Processes journal December 2017
Two-Dimensional Electronic Spectroscopy of Benzene, Phenol, and Their Dimer: An Efficient First-Principles Simulation Protocol journal July 2015
iSPECTRON : A simulation interface for linear and nonlinear spectra with ab‐initio quantum chemistry software journal February 2021
Efficient Calculation of Time- and Frequency-Resolved Four-Wave-Mixing Signals journal September 2009
Quantum-classical effective-modes dynamics of the ππ* → nπ* decay in 9H-adenine. A quadratic vibronic coupling model journal January 2013
Imaging conical intersection dynamics during azobenzene photoisomerization by ultrafast X-ray diffraction journal January 2021
Ultrafast carbon monoxide photolysis and heme spin-crossover in myoglobin via nonadiabatic quantum dynamics journal October 2018
Frequency dispersed transient absorption spectra of dissolved perylene: A case study using the density matrix version of the MCTDH method journal May 2008
The role of vibronic coupling in the electronic spectroscopy of maleimide: a multi-mode and multi-state quantum dynamics study journal January 2020

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