DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Time propagation of electronic wavefunctions using nonorthogonal determinant expansions

Journal Article · · Journal of Chemical Physics
DOI: https://doi.org/10.1063/5.0179601 · OSTI ID:2281688

The use of truncated configuration interaction in real-time time-dependent simulations of electron dynamics provides a balance of computational cost and accuracy, while avoiding some of the failures associated with real-time time-dependent density functional theory. However, low-order truncated configuration interaction also has limitations, such as overestimation of polarizability in configuration interaction singles, even when perturbative doubles are included. Increasing the size of the determinant expansion may not be computationally feasible, and so, in this work, we investigate the use of nonorthogonality in the determinant expansion to establish the extent to which higher-order substitutions can be recovered, providing an improved description of electron dynamics. Model systems are investigated to quantify the extent to which different methods accurately reproduce the (hyper)polarizability, including the high-harmonic generation spectrum of H2, water, and butadiene.

Research Organization:
Univ. of Louisville, KY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0024507
OSTI ID:
2281688
Report Number(s):
DOE-LOUISVILLE--24507
Journal Information:
Journal of Chemical Physics, Journal Name: Journal of Chemical Physics Journal Issue: 2 Vol. 160; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (62)

Perspectives of Attosecond Spectroscopy for the Understanding of Fundamental Electron Correlations journal April 2018
The generalized Slater-Condon rules journal August 1991
The Dalton quantum chemistry program system: The Dalton program
  • Aidas, Kestutis; Angeli, Celestino; Bak, Keld L.
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 4, Issue 3 https://doi.org/10.1002/wcms.1172
journal September 2013
Frequency-dependent polarizabilities and second hyperpolarizabilities of N2 journal April 1993
Stability conditions and nuclear rotations in the Hartree-Fock theory journal November 1960
On the evaluation of non-orthogonal matrix elements journal May 1991
Time-Dependent Configuration Interaction Using the Graphical Unitary Group Approach: Nonlinear Electric Properties book July 2017
Electron dynamics across molecular wires: A time-dependent configuration interaction study journal July 2013
Real-Time Time-Dependent Electronic Structure Theory journal August 2020
Global Elucidation of Self-Consistent Field Solution Space Using Basin Hopping journal July 2020
GronOR: Scalable and Accelerated Nonorthogonal Configuration Interaction for Molecular Fragment Wave Functions journal May 2022
Fundamental Variable and Density Representation in Multistate DFT for Excited States journal November 2022
Minimal Active Space: NOSCF and NOSI in Multistate Density Functional Theory journal October 2022
Nonorthogonal Multireference Wave Function Description of Triplet–Triplet Energy Transfer Couplings journal October 2023
Simple Models for Difficult Electronic Excitations journal February 2018
Simulating Electron Dynamics of Complex Molecules with Time-Dependent Complete Active Space Configuration Interaction journal June 2018
Time-Dependent Complete Active Space Embedded in a Polarizable Force Field journal January 2019
Multistate Density Functional Theory of Excited States journal August 2022
Nonorthogonal Active Space Decomposition of Wave Functions with Multiple Correlation Mechanisms journal December 2022
Angle-Dependent Ionization of Small Molecules by Time-Dependent Configuration Interaction and an Absorbing Potential journal May 2015
Electronic Transition Energies: A Study of the Performance of a Large Range of Single Reference Density Functional and Wave Function Methods on Valence and Rydberg States Compared to Experiment journal January 2010
TD-CI Simulation of the Electronic Optical Response of Molecules in Intense Fields: Comparison of RPA, CIS, CIS(D), and EOM-CCSD journal May 2011
Self-Consistent Field Calculations of Excited States Using the Maximum Overlap Method (MOM) journal December 2008
Determination of the Complete Polarizability Tensor of 1,3-Butadiene by Combination of Refractive Index and Light Scattering Measurements and Accurate Quantum Chemical ab Initio Calculations journal June 1999
Dynamics of Charge-Transfer Processes with Time-Dependent Density Functional Theory journal February 2013
Attosecond control of electronic processes by intense light fields journal February 2003
Attosecond real-time observation of electron tunnelling in atoms journal April 2007
Theoretical calculations of excited state absorption journal January 2000
On the role of dynamic electron correlation in non-orthogonal configuration interaction with fragments journal January 2022
Dipole Properties of Molecular Hydrogen journal March 1969
Time-dependent configuration-interaction calculations of laser-pulse-driven many-electron dynamics: Controlled dipole switching in lithium cyanide journal August 2005
Molecular response properties from explicitly time-dependent configuration interaction methods journal July 2007
Dipole switching in large molecules described by explicitly time-dependent configuration interaction journal June 2008
Modeling the doubly excited state with time-dependent Hartree–Fock and density functional theories journal November 2008
Theoretical description of charge migration with a single Slater-determinant and beyond journal January 2009
Laser-induced electron dynamics including photoionization: A heuristic model within time-dependent configuration interaction theory journal September 2009
Hartree–Fock solutions as a quasidiabatic basis for nonorthogonal configuration interaction journal September 2009
Benchmarking the performance of time-dependent density functional methods journal March 2012
Nonlinear optical properties of H2 and D2 journal February 1990
The hyperpolarizability of trans-butadiene: A critical test case for quantum chemical models journal February 1997
Comment on “The hyperpolarizability of trans-butadiene: A critical test case for quantum chemical models” [J. Chem. Phys. 106, 1827 (1997)] journal March 1998
The hyperpolarizability of trans-butadiene rerevisited journal May 1998
An efficient method for calculating dynamical hyperpolarizabilities using real-time time-dependent density functional theory journal February 2013
Proper and improper zero energy modes in Hartree-Fock theory and their relevance for symmetry breaking and restoration journal October 2013
Time-dependent restricted-active-space self-consistent-field singles method for many-electron dynamics journal April 2014
Two-electron Rabi oscillations in real-time time-dependent density-functional theory journal November 2014
Studies of spuriously shifting resonances in time-dependent density functional theory journal July 2016
GronOR: Massively parallel and GPU-accelerated non-orthogonal configuration interaction for large molecular systems journal February 2020
Generalized nonorthogonal matrix elements: Unifying Wick’s theorem and the Slater–Condon rules journal April 2021
Orbital optimization in nonorthogonal multiconfigurational self-consistent field applied to the study of conical intersections and avoided crossings journal June 2021
Perspective on optimal strategies of building cluster expansion models for configurationally disordered materials journal November 2022
Non-orthogonal approaches to the study of magnetic interactions journal January 2003
Computation of high-harmonic generation spectra of H 2 and N 2 in intense laser pulses using quantum chemistry methods and time-dependent density functional theory journal May 2012
The polarization of laser light scattered by gases
  • Bridge, N. J.; Buckingham, Amyand David
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 295, Issue 1442, p. 334-349 https://doi.org/10.1098/rspa.1966.0244
journal December 1966
Quantum Theory of Many-Particle Systems. II. Study of the Ordinary Hartree-Fock Approximation journal March 1955
AB INITIOstudy of third-order nonlinear optical properties of theH2andD2molecules journal September 1987
Nonlinear-optical susceptibilities of gases measured at 1064 and 1319 nm journal September 1990
Time-dependent complete-active-space self-consistent-field method for multielectron dynamics in intense laser fields journal August 2013
Time-dependent generalized-active-space configuration-interaction approach to photoionization dynamics of atoms and molecules journal December 2014
Rabi Oscillations and Few-Level Approximations in Time-Dependent Density Functional Theory journal June 2009
Time-dependent multiconfiguration methods for the numerical simulation of photoionization processes of many-electron atoms journal January 2014
Theory of Resonating Quantum Fluctuations in a Fermion System: Resonating Hartree-Fock Approximation journal September 1988