Title: A promising intersection of excited‐state‐specific methods from quantum chemistry and quantum Monte Carlo

Journal Article · · Wiley Interdisciplinary Reviews: Computational Molecular Science
DOI: https://doi.org/10.1002/wcms.1659 · OSTI ID:1995917
ORCiD logo [1]; ORCiD logo [2]
  1. Department of Physics University of California Berkeley Berkeley California USA
  2. Department of Chemistry University of California Berkeley Berkeley California USA, Chemical Sciences Division, Lawrence Berkeley National Laboratory Berkeley California USA

Abstract We present a discussion of recent progress in excited‐state‐specific quantum chemistry and quantum Monte Carlo alongside a demonstration of how a combination of methods from these two fields can offer reliably accurate excited state predictions across singly excited, doubly excited, and charge transfer states. Both of these fields have seen important advances supporting excited state simulation in recent years, including the introduction of more effective excited‐state‐specific optimization methods, improved handling of complicated wave function forms, and ways of explicitly balancing the quality of wave functions for ground and excited states. To emphasize the promise that exists at this intersection, we provide demonstrations using a combination of excited‐state‐specific complete active space self‐consistent field theory, selected configuration interaction, and state‐specific variance minimization. These demonstrations show that combining excited‐state‐specific quantum chemistry and variational Monte Carlo can be more reliably accurate than either equation of motion coupled cluster theory or multi‐reference perturbation theory, and that it can offer new clarity in cases where existing high‐level methods do not agree. This article is categorized under: Electronic Structure Theory > Ab Initio Electronic Structure Methods Software > Quantum Chemistry

Sponsoring Organization:
USDOE
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1995917
Journal Information:
Wiley Interdisciplinary Reviews: Computational Molecular Science, Journal Name: Wiley Interdisciplinary Reviews: Computational Molecular Science Journal Issue: 5 Vol. 13; ISSN 1759-0876
Publisher:
Wiley Blackwell (John Wiley & Sons)Copyright Statement
Country of Publication:
United States
Language:
English

References (210)

Theoretical study of the ???* excited states of linear polyenes: The energy gap between 11Bu+ and 21Ag? states and their character journal January 1998
TD-DFT benchmarks: A review journal April 2013
P y SCF: the Python-based simulations of chemistry framework : The PySCF program
  • Sun, Qiming; Berkelbach, Timothy C.; Blunt, Nick S.
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 8, Issue 1 https://doi.org/10.1002/wcms.1340
journal September 2017
QUESTDB : A database of highly accurate excitation energies for the electronic structure community journal February 2021
Quantum Monte Carlo Calculations of Electronic Excitation Energies: The Case of the Singlet n→π∗ (CO) Transition in Acrolein book September 2011
Introduction to the Variational Monte Carlo Method in Quantum Chemistry and Physics book December 2016
On a variational method for determining excited state wave functions journal January 1969
A systematic theoretical investigation of the lowest valence- and Rydberg-excited singlet states of trans-butadiene. The character of the 1 1 B u (V) state revisited journal April 2004
Metal-to-metal charge-transfer transitions: reliable excitation energies from ab initio calculations journal August 2012
Benchmarking coupled cluster methods on singlet excited states of nucleobases journal November 2014
Methodological CASPT2 study of the valence excited states of an iron-porphyrin complex journal February 2017
On the computation of excited states with MCSCF methods journal February 2008
Variational principle for excited states: Exact formulation and other extensions journal June 1970
Quantum Monte Carlo calculations on Be and LiH journal January 1985
A theoretical study of the electronic spectrum of thiophene journal August 1993
High-order determinantal equation-of-motion coupled-cluster calculations for electronic excited states journal August 2000
Ab initio investigation of the potential energy surfaces involved in the photophysics of s-trans-1,3-butadiene journal July 2001
Perspectives on double-excitations in TDDFT journal November 2011
Quantum Monte Carlo study of the cooperative binding of NO2 to fragment models of carbon nanotubes journal December 2008
Influence of pseudopotentials on excitation energies from selected configuration interaction and diffusion Monte Carlo journal January 2019
Quantum Monte Carlo Approaches for Correlated Systems book November 2017
Variational Principles in Quantum Monte Carlo: The Troubled Story of Variance Minimization journal May 2020
A New Benchmark Set for Excitation Energy of Charge Transfer States: Systematic Investigation of Coupled Cluster Type Methods journal June 2020
N 5 -Scaling Excited-State-Specific Perturbation Theory journal August 2020
Excited-State Absorption of Uracil in the Gas Phase: Mapping the Main Decay Paths by Different Electronic Structure Methods journal February 2021
Tailoring CIPSI Expansions for QMC Calculations of Electronic Excitations: The Case Study of Thiophene journal May 2021
Reference Energies for Intramolecular Charge-Transfer Excitations journal May 2021
Energy Derivatives in Real-Space Diffusion Monte Carlo journal December 2021
Spin-Pure Stochastic-CASSCF via GUGA-FCIQMC Applied to Iron–Sulfur Clusters journal September 2021
Applying Generalized Variational Principles to Excited-State-Specific Complete Active Space Self-consistent Field Theory journal October 2022
Benchmarking the Bethe–Salpeter Formalism on a Standard Organic Molecular Set journal June 2015
Multiple-Resonance Local Wave Functions for Accurate Excited States in Quantum Monte Carlo journal February 2016
Introducing QMC/MMpol: Quantum Monte Carlo in Polarizable Force Fields for Excited States journal March 2016
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
Suppressing Ionic Terms with Number-Counting Jastrow Factors in Real Space journal April 2017
Optimizing the Energy with Quantum Monte Carlo: A Lower Numerical Scaling for Jastrow–Slater Expansions journal October 2017
Adaptive Configuration Interaction for Computing Challenging Electronic Excited States with Tunable Accuracy journal October 2017
Exploring the Accuracy of a Low Scaling Similarity Transformed Equation of Motion Method for Vertical Excitation Energies journal December 2017
Size Consistent Excited States via Algorithmic Transformations between Variational Principles journal November 2017
Simple Models for Difficult Electronic Excitations journal February 2018
An MS-CASPT2 Calculation of the Excited Electronic States of an Axial Difluoroborondipyrromethene (BODIPY) Dimer journal June 2018
Perturbatively Selected Configuration-Interaction Wave Functions for Efficient Geometry Optimization in Quantum Monte Carlo journal June 2018
A Mountaineering Strategy to Excited States: Highly Accurate Reference Energies and Benchmarks journal June 2018
Modern Approaches to Exact Diagonalization and Selected Configuration Interaction with the Adaptive Sampling CI Method journal March 2020
Improved Speed and Scaling in Orbital Space Variational Monte Carlo journal November 2018
Excited-State Diffusion Monte Carlo Calculations: A Simple and Efficient Two-Determinant Ansatz journal November 2018
Clean and Convenient Tessellations for Number Counting Jastrow Factors journal November 2018
Reference Energies for Double Excitations journal January 2019
Half-Projected σ Self-Consistent Field For Electronic Excited States journal April 2019
Tracking Excited States in Wave Function Optimization Using Density Matrices and Variational Principles journal August 2019
Excited States with Selected Configuration Interaction-Quantum Monte Carlo: Chemically Accurate Excitation Energies and Geometries journal July 2019
Density Functional Extension to Excited-State Mean-Field Theory journal November 2019
A Generalized Variational Principle with Applications to Excited State Mean Field Theory journal February 2020
Excited State Orbital Optimization via Minimizing the Square of the Gradient: General Approach and Application to Singly and Doubly Excited States via Density Functional Theory journal February 2020
A Mountaineering Strategy to Excited States: Highly Accurate Energies and Benchmarks for Medium Sized Molecules journal January 2020
CASSCF with Extremely Large Active Spaces Using the Adaptive Sampling Configuration Interaction Method journal February 2020
Improving Excited-State Potential Energy Surfaces via Optimal Orbital Shapes journal September 2020
Excited States of Methylene, Polyenes, and Ozone from Heat-Bath Configuration Interaction journal February 2018
Excited State Specific Multi-Slater Jastrow Wave Functions journal January 2019
Symmetry-Projected Jastrow Mean-Field Wave Function in Variational Monte Carlo journal April 2019
The Ground State Electronic Energy of Benzene journal October 2020
The Shape of Full Configuration Interaction to Come journal December 2020
Orbital Optimized Density Functional Theory for Electronic Excited States journal May 2021
Highly Accurate Prediction of Core Spectra of Molecules at Density Functional Theory Cost: Attaining Sub-electronvolt Error from a Restricted Open-Shell Kohn–Sham Approach journal January 2020
Quantum Monte Carlo and Related Approaches journal December 2011
Electronic Excitations of Simple Cyanine Dyes: Reconciling Density Functional and Wave Function Methods journal December 2010
Bathochromic Shift in Green Fluorescent Protein: A Puzzle for QM/MM Approaches journal December 2011
Size-Extensive Wave Functions for Quantum Monte Carlo: A Linear Scaling Generalized Valence Bond Approach journal May 2012
Multideterminant Wave Functions in Quantum Monte Carlo journal June 2012
Excited States of Butadiene to Chemical Accuracy: Reconciling Theory and Experiment journal September 2012
Rhodopsin Absorption from First Principles: Bypassing Common Pitfalls journal April 2013
Multireference Ab Initio Density Matrix Renormalization Group (DMRG)-CASSCF and DMRG-CASPT2 Study on the Photochromic Ring Opening of Spiropyran journal September 2013
Ground- and Excited-State Geometry Optimization of Small Organic Molecules with Quantum Monte Carlo journal November 2013
Benchmarking Coupled Cluster Methods on Valence Singlet Excited States journal July 2014
Solvent Effects on Excited-State Structures: A Quantum Monte Carlo and Density Functional Study journal November 2014
Dissecting the Hydrogen Bond: A Quantum Monte Carlo Approach journal July 2008
Absorption Spectrum of the Green Fluorescent Protein Chromophore: A Difficult Case for ab Initio Methods? journal July 2009
Photoisomerization of Model Retinal Chromophores: Insight from Quantum Monte Carlo and Multiconfigurational Perturbation Theory journal March 2010
Theoretical Study of the Electronic Spectra of Uracil and Thymine journal September 1995
Charge-transfer complexes. Ammonia-molecular fluorine, ammonia-molecular chlorine, ammonia-chlorine fluoride, trimethylamine-molecular fluorine, trimethylamine-molecular chlorine, and trimethylamine-chlorine fluoride journal December 1975
Failure of Time-Dependent Density Functional Theory for Long-Range Charge-Transfer Excited States:  The Zincbacteriochlorin−Bacteriochlorin and Bacteriochlorophyll−Spheroidene Complexes journal March 2004
Cyclobutane Thymine Photodimerization Mechanism Revealed by Nonadiabatic Molecular Dynamics journal October 2016
Heavy Atom Free Singlet Oxygen Generation: Doubly Substituted Configurations Dominate S 1 States of Bis-BODIPYs journal April 2012
Density Functional for Spectroscopy:  No Long-Range Self-Interaction Error, Good Performance for Rydberg and Charge-Transfer States, and Better Performance on Average than B3LYP for Ground States journal December 2006
Study of Dispersion Forces with Quantum Monte Carlo: Toward a Continuum Model for Solvation journal January 2015
Anion−π and π−π Cooperative Interactions Regulating the Self-Assembly of Nitrate−Triazine−Triazine Complexes journal January 2008
Self-Consistent Field Calculations of Excited States Using the Maximum Overlap Method (MOM) journal December 2008
Entangled quantum electronic wavefunctions of the Mn4CaO5 cluster in photosystem II journal June 2013
Low-energy spectrum of iron–sulfur clusters directly from many-particle quantum mechanics journal August 2014
Fermionic neural-network states for ab-initio electronic structure journal May 2020
Deep-neural-network solution of the electronic Schrödinger equation journal September 2020
Charge transfer processes: the role of optimized molecular orbitals journal January 2014
Complementary first and second derivative methods for ansatz optimization in variational Monte Carlo journal January 2019
Disentanglement of triplet and singlet states of azobenzene: direct EELS detection and QMC modeling journal January 2011
Computing forces with quantum Monte Carlo journal September 2000
Long-range charge-transfer excited states in time-dependent density functional theory require non-local exchange journal August 2003
Geminal wave functions with Jastrow correlation: A first application to atoms journal October 2003
Zero-variance zero-bias principle for observables in quantum Monte Carlo: Application to forces journal November 2003
Quantum Monte Carlo for electronic excitations of free-base porphyrin journal February 2004
Double excitations within time-dependent density functional theory linear response journal April 2004
Optimized Jastrow–Slater wave functions for ground and excited states: Application to the lowest states of ethene journal June 2004
Excitations in photoactive molecules from quantum Monte Carlo journal September 2004
Correlated geminal wave function for molecules: An efficient resonating valence bond approach journal October 2004
The accuracy of ab initio molecular geometries for systems containing second-row atoms journal November 2005
Optimization of quantum Monte Carlo wave functions by energy minimization journal February 2007
Energies of the first row atoms from quantum Monte Carlo journal June 2007
Weak binding between two aromatic rings: Feeling the van der Waals attraction by quantum Monte Carlo methods journal July 2007
Targeted excited state algorithms journal August 2007
Troubleshooting time-dependent density-functional theory for photochemical applications: Oxirane journal October 2007
Benchmarks for electronically excited states: CASPT2, CC2, CCSD, and CC3 journal April 2008
Full optimization of Jastrow–Slater wave functions with application to the first-row atoms and homonuclear diatomic molecules journal May 2008
Neutral and charged excitations in carbon fullerenes from first-principles many-body theories journal August 2008
Molecular hydrogen adsorbed on benzene: Insights from a quantum Monte Carlo study journal October 2008
A study of the fixed-node error in quantum Monte Carlo calculations of electronic transitions: The case of the singlet n→π∗ (CO) transition of the acrolein journal March 2009
Self-consistent-field calculations of core excited states journal March 2009
A fast and efficient algorithm for Slater determinant updates in quantum Monte Carlo simulations journal May 2009
Excited states of methylene from quantum Monte Carlo journal September 2009
Resonating valence bond wave function with molecular orbitals: Application to first-row molecules journal October 2009
Benchmarks of electronically excited states: Basis set effects on CASPT2 results journal November 2010
Quantum Monte Carlo study of the first-row atoms and ions journal February 2011
Computing the energy of a water molecule using multideterminants: A simple, efficient algorithm journal December 2011
Quantum Monte Carlo for the x-ray absorption spectrum of pyrrole at the nitrogen K-edge journal April 2012
An SCF method for hole states journal July 1976
A quadratically convergent MCSCF method for the simultaneous optimization of several states journal May 1981
A theoretical study of x‐ray photoelectron spectra of model molecules for polymethylmethacrylate journal August 1991
The equation of motion coupled‐cluster method. A systematic biorthogonal approach to molecular excitation energies, transition probabilities, and excited state properties journal May 1993
Towards an accurate molecular orbital theory for excited states: Ethene, butadiene, and hexatriene journal February 1993
A diffusion Monte Carlo algorithm with very small time‐step errors journal August 1993
Accuracy of electronic wave functions in quantum Monte Carlo: The effect of high-order correlations journal August 1997
Communication: Excited states, dynamic correlation functions and spectral properties from full configuration interaction quantum Monte Carlo journal November 2012
Accuracy of atomization energies and reaction enthalpies in standard and extrapolated electronic wave function/basis set calculations journal June 2000
Electronic excitations in a dielectric continuum solvent with quantum Monte Carlo: Acrolein in water journal January 2014
Spectroscopic accuracy directly from quantum chemistry: Application to ground and excited states of beryllium dimer journal March 2014
Adaptive multiconfigurational wave functions journal March 2014
Excited states from quantum Monte Carlo in the basis of Slater determinants journal November 2014
Accurate nonrelativistic ground-state energies of 3 d transition metal atoms journal December 2014
Generic expansion of the Jastrow correlation factor in polynomials satisfying symmetry and cusp conditions journal February 2015
Ab initio molecular dynamics simulation of liquid water by quantum Monte Carlo journal April 2015
Vertical and adiabatic excitations in anthracene from quantum Monte Carlo: Constrained energy minimization for structural and electronic excited-state properties in the JAGP ansatz journal June 2015
A systematic benchmark of the ab initio Bethe-Salpeter equation approach for low-lying optical excitations of small organic molecules journal June 2015
An excited-state approach within full configuration interaction quantum Monte Carlo journal October 2015
Communication: Toward an improved control of the fixed-node error in quantum Monte Carlo: The case of the water molecule 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
Communication: Variation after response in quantum Monte Carlo journal August 2016
An assessment of low-lying excitation energies and triplet instabilities of organic molecules with an ab initio Bethe-Salpeter equation approach and the Tamm-Dancoff approximation journal May 2017
Density matrices in full configuration interaction quantum Monte Carlo: Excited states, transition dipole moments, and parallel distribution journal June 2017
A new generation of effective core potentials for correlated calculations journal December 2017
Charge-transfer excited states: Seeking a balanced and efficient wave function ansatz in variational Monte Carlo journal November 2017
Excited states using semistochastic heat-bath configuration interaction journal October 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
An accelerated linear method for optimizing non-linear wavefunctions in variational Monte Carlo journal January 2020
Excited state mean-field theory without automatic differentiation journal May 2020
A light weight regularization for wave function parameter gradients in quantum Monte Carlo journal August 2020
QMCPACK: Advances in the development, efficiency, and application of auxiliary field and real-space variational and diffusion quantum Monte Carlo journal May 2020
TurboRVB : A many-body toolkit for ab initio electronic simulations by quantum Monte Carlo journal May 2020
Recent developments in the general atomic and molecular electronic structure system journal April 2020
Accurate prediction of core-level spectra of radicals at density functional theory cost via square gradient minimization and recoupling of mixed configurations journal October 2020
A self-consistent field formulation of excited state mean field theory journal October 2020
A variational Monte Carlo approach for core excitations journal October 2020
Core excitations with excited state mean field and perturbation theory journal October 2020
Toward a systematic improvement of the fixed-node approximation in diffusion Monte Carlo for solids—A case study in diamond journal November 2020
A hybrid approach to excited-state-specific variational Monte Carlo and doubly excited states journal December 2020
Efficient local energy evaluation for multi-Slater wave functions in orbital space quantum Monte Carlo journal November 2020
Taming the fixed-node error in diffusion Monte Carlo via range separation journal November 2020
Excited states in variational Monte Carlo using a penalty method journal January 2021
Convergence to the fixed-node limit in deep variational Monte Carlo journal March 2021
QC-DMRG study of the ionic-neutral curve crossing of LiF journal July 2003
Conical intersections and double excitations in time-dependent density functional theory journal March 2006
Benchmarking the completely renormalised equation-of-motion coupled-cluster approaches for vertical excitation energies journal September 2015
Quantum Monte Carlo with reoptimised perturbatively selected configuration-interaction wave functions journal February 2016
Thirty years of density functional theory in computational chemistry: an overview and extensive assessment of 200 density functionals journal April 2017
QMCPACK : an open source ab initio quantum Monte Carlo package for the electronic structure of atoms, molecules and solids journal April 2018
Charge transfer in time-dependent density functional theory journal September 2017
Self-Consistent-Field Wave Functions for Hole States of Some Ne-Like and Ar-Like Ions journal August 1965
Direct optimization method to study constrained systems within density-functional theory journal August 2005
Variational quantum Monte Carlo nonlocal pseudopotential approach to solids: Formulation and application to diamond, graphite, and silicon journal August 1990
Optimized wave functions for quantum Monte Carlo studies of atoms and solids journal April 1996
Generalized Lanczos algorithm for variational quantum Monte Carlo journal June 2001
Jastrow correlation factor for atoms, molecules, and solids journal December 2004
Wave function optimization in the variational Monte Carlo method journal June 2005
Optimizing large parameter sets in variational quantum Monte Carlo journal January 2012
Heavy-tailed random error in quantum Monte Carlo journal January 2008
Alternative sampling for variational quantum Monte Carlo journal January 2008
Framework for constructing generic Jastrow correlation factors journal September 2012
Stable Liquid Hydrogen at High Pressure by a Novel Ab Initio Molecular-Dynamics Calculation journal March 2008
Krylov-Projected Quantum Monte Carlo Method journal July 2015
Projector Quantum Monte Carlo Method for Nonlinear Wave Functions journal April 2017
Backflow Transformations via Neural Networks for Quantum Many-Body Wave Functions journal June 2019
Variational Excitations in Real Solids: Optical Gaps and Insights into Many-Body Perturbation Theory journal July 2019
Optimized trial wave functions for quantum Monte Carlo calculations journal April 1988
Variational Quantum Monte Carlo Nonlocal Pseudopotential Approach to Solids: Cohesive and Structural Properties of Diamond journal October 1988
Zero-Variance Principle for Monte Carlo Algorithms journal December 1999
High Accuracy Many-Body Calculational Approaches for Excitations in Molecules journal January 2001
Optimization of Ground- and Excited-State Wave Functions and van der Waals Clusters journal July 2001
Energy and Variance Optimization of Many-Body Wave Functions journal April 2005
Alleviation of the Fermion-Sign Problem by Optimization of Many-Body Wave Functions journal March 2007
Ab initio solution of the many-electron Schrödinger equation with deep neural networks journal September 2020
Quantum Monte Carlo simulations of solids journal January 2001
Coupled-cluster theory in quantum chemistry journal February 2007
Solving the quantum many-body problem with artificial neural networks journal February 2017
Using perturbatively selected configuration interaction in quantum Monte Carlo calculations journal September 2013
Progress in Time-Dependent Density-Functional Theory journal May 2012

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