Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Excited State Specific Multi-Slater Jastrow Wave Functions

Journal Article · · Journal of Physical Chemistry. A, Molecules, Spectroscopy, Kinetics, Environment, and General Theory
 [1];  [2]
  1. Univ. of California, Berkeley, CA (United States). Dept. of Chemistry
  2. Univ. of California, Berkeley, CA (United States). Dept. of Chemistry; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Chemical Sciences Division

We combine recent advances in excited state variational principles, fast multi-Slater Jastrow methods and selective configuration interaction, to create multi-Slater Jastrow wave function approximations that are optimized for individual excited states. In addition to the Jastrow variables and linear expansion coefficients, this optimization includes state-specific orbital relaxations in order to avoid the compromises necessary in state-averaged approaches. Here, we demonstrate that, when combined with variance matching to help balance the quality of the approximation across different states, this approach delivers accurate excitation energies even when very modest multi-Slater expansions are used. Intriguingly, this accuracy is maintained even when we study a difficult chlorine-anion-to-π* charge transfer in which traditional state-averaged multireference methods must contend with different states that require drastically different orbital relaxations.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC02-05CH11231; NA0003864; AC02-06CH11357
OSTI ID:
1571973
Journal Information:
Journal of Physical Chemistry. A, Molecules, Spectroscopy, Kinetics, Environment, and General Theory, Journal Name: Journal of Physical Chemistry. A, Molecules, Spectroscopy, Kinetics, Environment, and General Theory Journal Issue: 8 Vol. 123; ISSN 1089-5639
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (58)

Metal-Free Organic Dyes for Dye-Sensitized Solar Cells: From Structure: Property Relationships to Design Rules journal March 2009
Polymerization and preliminary X-ray analysis of 1,3,5,7-tetrathiocane (tetra-thioformaldehyde) journal June 1965
Molpro: a general-purpose quantum chemistry program package: Molpro
  • Werner, Hans-Joachim; Knowles, Peter J.; Knizia, Gerald
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 2, Issue 2 https://doi.org/10.1002/wcms.82
journal July 2011
On a variational method for determining excited state wave functions journal January 1969
Variational principle for excited states: Exact formulation and other extensions journal June 1970
Multiconfigurational perturbation theory with level shift — the Cr2 potential revisited journal October 1995
A modified definition of the zeroth-order Hamiltonian in multiconfigurational perturbation theory (CASPT2) journal September 2004
Schiff bases: A short review of their antimicrobial activities journal January 2011
Heat-Bath Configuration Interaction: An Efficient Selected Configuration Interaction Algorithm Inspired by Heat-Bath Sampling journal August 2016
An Efficient Variational Principle for the Direct Optimization of Excited States journal July 2016
Semistochastic Heat-Bath Configuration Interaction Method: Selected Configuration Interaction with Semistochastic Perturbation Theory journal March 2017
A Blocked Linear Method for Optimizing Large Parameter Sets in Variational Monte Carlo journal May 2017
Optimizing the Energy with Quantum Monte Carlo: A Lower Numerical Scaling for Jastrow–Slater Expansions journal October 2017
Size Consistent Excited States via Algorithmic Transformations between Variational Principles journal November 2017
Perturbatively Selected Configuration-Interaction Wave Functions for Efficient Geometry Optimization in Quantum Monte Carlo journal June 2018
Excited-State Diffusion Monte Carlo Calculations: A Simple and Efficient Two-Determinant Ansatz journal November 2018
Automatic Differentiation in Quantum Chemistry with Applications to Fully Variational Hartree–Fock journal May 2018
Solar Fuels via Artificial Photosynthesis journal December 2009
Synthesis of Conjugated Polymers for Organic Solar Cell Applications journal November 2009
Photoinduced Motions in Azo-Containing Polymers journal November 2002
Multideterminant Wave Functions in Quantum Monte Carlo journal June 2012
Self-Consistent Field Calculations of Excited States Using the Maximum Overlap Method (MOM) journal December 2008
Toward Solar Fuels: Photocatalytic Conversion of Carbon Dioxide to Hydrocarbons journal February 2010
Inorganic nanostructures for photoelectrochemical and photocatalytic water splitting journal January 2013
Excitations in photoactive molecules from quantum Monte Carlo journal September 2004
Energy-consistent pseudopotentials for quantum Monte Carlo calculations journal June 2007
Systematic optimization of long-range corrected hybrid density functionals journal February 2008
Full optimization of Jastrow–Slater wave functions with application to the first-row atoms and homonuclear diatomic molecules journal May 2008
Algorithmic differentiation and the calculation of forces by quantum Monte Carlo journal December 2010
Communication: Configuration interaction singles has a large systematic bias against charge-transfer states journal August 2011
Computing the energy of a water molecule using multideterminants: A simple, efficient algorithm journal December 2011
Molecular dynamics in low-spin excited states journal March 1998
The Jastrow antisymmetric geminal power in Hilbert space: Theory, benchmarking, and application to a novel transition state journal November 2013
Accurate nonrelativistic ground-state energies of 3 d transition metal atoms journal December 2014
Fixed-node diffusion Monte Carlo potential energy curve of the fluorine molecule F 2 using selected configuration interaction trial wavefunctions journal January 2015
Influence of single particle orbital sets and configuration selection on multideterminant wavefunctions in quantum Monte Carlo journal June 2015
Communication: Toward an improved control of the fixed-node error in quantum Monte Carlo: The case of the water molecule journal April 2016
Communication: An adaptive configuration interaction approach for strongly correlated electrons with tunable accuracy journal April 2016
Simple formalism for efficient derivatives and multi-determinant expansions in quantum Monte Carlo journal May 2016
A deterministic alternative to the full configuration interaction quantum Monte Carlo method journal July 2016
Charge-transfer excited states: Seeking a balanced and efficient wave function ansatz in variational Monte Carlo journal November 2017
σ -SCF: A direct energy-targeting method to mean-field excited states journal December 2017
Excitation variance matching with limited configuration interaction expansions in variational Monte Carlo journal October 2017
Excitation energies from diffusion Monte Carlo using selected configuration interaction nodes journal July 2018
Selected configuration interaction dressed by perturbation journal August 2018
Communication: A mean field platform for excited state quantum chemistry journal August 2018
The phototransduction machinery in the rod outer segment has a strong efficacy gradient journal May 2015
Molecular dynamics in electronically excited states using time-dependent density functional theory journal March 2005
Advances in molecular quantum chemistry contained in the Q-Chem 4 program package journal September 2014
QMCPACK : an open source ab initio quantum Monte Carlo package for the electronic structure of atoms, molecules and solids journal April 2018
Heavy-tailed random error in quantum Monte Carlo journal January 2008
Alternative sampling for variational quantum Monte Carlo journal January 2008
Alleviation of the Fermion-Sign Problem by Optimization of Many-Body Wave Functions journal March 2007
Quantum Monte Carlo simulations of solids journal January 2001
Evaluating Derivatives book January 2008
Using perturbatively selected configuration interaction in quantum Monte Carlo calculations journal September 2013
The Spectroscopy of Formaldehyde and Thioformaldehyde journal October 1983
Equation-of-Motion Coupled-Cluster Methods for Open-Shell and Electronically Excited Species: The Hitchhiker's Guide to Fock Space journal May 2008

Cited By (4)


Similar Records

Non-orthogonal determinants in multi-Slater-Jastrow trial wave functions for fixed-node diffusion Monte Carlo
Journal Article · Tue Dec 18 23:00:00 EST 2018 · Journal of Chemical Physics · OSTI ID:1611136

Optimization of the Jastrow factor using the random-phase approximation and a similarity-transformed Hamiltonian: Application to band-structure calculation for some semiconductors and insulators
Journal Article · Thu Feb 20 23:00:00 EST 2014 · Journal of Chemical Physics · OSTI ID:22255085

Clean and Convenient Tessellations for Number Counting Jastrow Factors
Journal Article · Mon Jan 07 23:00:00 EST 2019 · Journal of Chemical Theory and Computation · OSTI ID:1543634