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

Abstract

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

Authors:
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
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1995917
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Wiley Interdisciplinary Reviews: Computational Molecular Science
Additional Journal Information:
Journal Name: Wiley Interdisciplinary Reviews: Computational Molecular Science Journal Volume: 13 Journal Issue: 5; Journal ID: ISSN 1759-0876
Publisher:
Wiley Blackwell (John Wiley & Sons)
Country of Publication:
United States
Language:
English

Citation Formats

Otis, Leon, and Neuscamman, Eric. A promising intersection of excited‐state‐specific methods from quantum chemistry and quantum Monte Carlo. United States: N. p., 2023. Web. doi:10.1002/wcms.1659.
Otis, Leon, & Neuscamman, Eric. A promising intersection of excited‐state‐specific methods from quantum chemistry and quantum Monte Carlo. United States. https://doi.org/10.1002/wcms.1659
Otis, Leon, and Neuscamman, Eric. Thu . "A promising intersection of excited‐state‐specific methods from quantum chemistry and quantum Monte Carlo". United States. https://doi.org/10.1002/wcms.1659.
@article{osti_1995917,
title = {A promising intersection of excited‐state‐specific methods from quantum chemistry and quantum Monte Carlo},
author = {Otis, Leon and Neuscamman, Eric},
abstractNote = {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},
doi = {10.1002/wcms.1659},
journal = {Wiley Interdisciplinary Reviews: Computational Molecular Science},
number = 5,
volume = 13,
place = {United States},
year = {Thu Feb 09 00:00:00 EST 2023},
month = {Thu Feb 09 00:00:00 EST 2023}
}

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Disentanglement of triplet and singlet states of azobenzene: direct EELS detection and QMC modeling
journal, January 2011

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Suppressing Ionic Terms with Number-Counting Jastrow Factors in Real Space
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A hybrid approach to excited-state-specific variational Monte Carlo and doubly excited states
journal, December 2020

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Benchmarks of electronically excited states: Basis set effects on CASPT2 results
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A Mountaineering Strategy to Excited States: Highly Accurate Energies and Benchmarks for Medium Sized Molecules
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Generalized Lanczos algorithm for variational quantum Monte Carlo
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Excited States of Butadiene to Chemical Accuracy: Reconciling Theory and Experiment
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An MS-CASPT2 Calculation of the Excited Electronic States of an Axial Difluoroborondipyrromethene (BODIPY) Dimer
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Half-Projected σ Self-Consistent Field For Electronic Excited States
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Direct optimization method to study constrained systems within density-functional theory
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Projector Quantum Monte Carlo Method for Nonlinear Wave Functions
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Quantum Monte Carlo and Related Approaches
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QMCPACK : an open source ab initio quantum Monte Carlo package for the electronic structure of atoms, molecules and solids
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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
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Multideterminant Wave Functions in Quantum Monte Carlo
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Improved Speed and Scaling in Orbital Space Variational Monte Carlo
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Full optimization of Jastrow–Slater wave functions with application to the first-row atoms and homonuclear diatomic molecules
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Using perturbatively selected configuration interaction in quantum Monte Carlo calculations
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Troubleshooting time-dependent density-functional theory for photochemical applications: Oxirane
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Zero-variance zero-bias principle for observables in quantum Monte Carlo: Application to forces
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Selected configuration interaction dressed by perturbation
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Optimized Jastrow–Slater wave functions for ground and excited states: Application to the lowest states of ethene
journal, June 2004

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Entangled quantum electronic wavefunctions of the Mn4CaO5 cluster in photosystem II
journal, June 2013

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Accurate prediction of core-level spectra of radicals at density functional theory cost via square gradient minimization and recoupling of mixed configurations
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Core excitations with excited state mean field and perturbation theory
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N 5 -Scaling Excited-State-Specific Perturbation Theory
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Benchmarking Coupled Cluster Methods on Valence Singlet Excited States
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High-order determinantal equation-of-motion coupled-cluster calculations for electronic excited states
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Quantum Monte Carlo for electronic excitations of free-base porphyrin
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Computing forces with quantum Monte Carlo
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Taming the fixed-node error in diffusion Monte Carlo via range separation
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Solving the quantum many-body problem with artificial neural networks
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Excited State Specific Multi-Slater Jastrow Wave Functions
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Simple formalism for efficient derivatives and multi-determinant expansions in quantum Monte Carlo
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Recent developments in the general atomic and molecular electronic structure system
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Thirty years of density functional theory in computational chemistry: an overview and extensive assessment of 200 density functionals
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A new generation of effective core potentials for correlated calculations
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Molecular hydrogen adsorbed on benzene: Insights from a quantum Monte Carlo study
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Accurate nonrelativistic ground-state energies of 3 d transition metal atoms
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Photoisomerization of Model Retinal Chromophores: Insight from Quantum Monte Carlo and Multiconfigurational Perturbation Theory
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Communication: A mean field platform for excited state quantum chemistry
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Improving Excited-State Potential Energy Surfaces via Optimal Orbital Shapes
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Density matrices in full configuration interaction quantum Monte Carlo: Excited states, transition dipole moments, and parallel distribution
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Adaptive multiconfigurational wave functions
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Excitation variance matching with limited configuration interaction expansions in variational Monte Carlo
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A Blocked Linear Method for Optimizing Large Parameter Sets in Variational Monte Carlo
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Backflow Transformations via Neural Networks for Quantum Many-Body Wave Functions
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Quantum Monte Carlo for the x-ray absorption spectrum of pyrrole at the nitrogen K-edge
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QC-DMRG study of the ionic-neutral curve crossing of LiF
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Krylov-Projected Quantum Monte Carlo Method
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Charge transfer in time-dependent density functional theory
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Geminal wave functions with Jastrow correlation: A first application to atoms
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CASSCF with Extremely Large Active Spaces Using the Adaptive Sampling Configuration Interaction Method
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Excited state mean-field theory without automatic differentiation
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Rhodopsin Absorption from First Principles: Bypassing Common Pitfalls
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Ab initio solution of the many-electron Schrödinger equation with deep neural networks
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Zero-Variance Principle for Monte Carlo Algorithms
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Solvent Effects on Excited-State Structures: A Quantum Monte Carlo and Density Functional Study
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Self-Consistent Field Calculations of Excited States Using the Maximum Overlap Method (MOM)
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Framework for constructing generic Jastrow correlation factors
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Ab initio investigation of the potential energy surfaces involved in the photophysics of s-trans-1,3-butadiene
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Ab initio molecular dynamics simulation of liquid water by quantum Monte Carlo
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Quantum Monte Carlo simulations of solids
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A quadratically convergent MCSCF method for the simultaneous optimization of several states
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Communication: Excited states, dynamic correlation functions and spectral properties from full configuration interaction quantum Monte Carlo
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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
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Quantum Monte Carlo study of the cooperative binding of NO2 to fragment models of carbon nanotubes
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Generic expansion of the Jastrow correlation factor in polynomials satisfying symmetry and cusp conditions
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Optimization of Ground- and Excited-State Wave Functions and van der Waals Clusters
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Computing the energy of a water molecule using multideterminants: A simple, efficient algorithm
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Excited-State Diffusion Monte Carlo Calculations: A Simple and Efficient Two-Determinant Ansatz
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Accuracy of electronic wave functions in quantum Monte Carlo: The effect of high-order correlations
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The accuracy of ab initio molecular geometries for systems containing second-row atoms
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On the computation of excited states with MCSCF methods
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Optimizing the Energy with Quantum Monte Carlo: A Lower Numerical Scaling for Jastrow–Slater Expansions
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Energy Derivatives in Real-Space Diffusion Monte Carlo
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Symmetry-Projected Jastrow Mean-Field Wave Function in Variational Monte Carlo
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Density Functional Extension to Excited-State Mean-Field Theory
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Electronic excitations in a dielectric continuum solvent with quantum Monte Carlo: Acrolein in water
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A Mountaineering Strategy to Excited States: Highly Accurate Reference Energies and Benchmarks
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Neutral and charged excitations in carbon fullerenes from first-principles many-body theories
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Excited states in variational Monte Carlo using a penalty method
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Study of Dispersion Forces with Quantum Monte Carlo: Toward a Continuum Model for Solvation
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Alternative sampling for variational quantum Monte Carlo
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Heavy-tailed random error in quantum Monte Carlo
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Modern Approaches to Exact Diagonalization and Selected Configuration Interaction with the Adaptive Sampling CI Method
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An accelerated linear method for optimizing non-linear wavefunctions in variational Monte Carlo
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Long-range charge-transfer excited states in time-dependent density functional theory require non-local exchange
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A theoretical study of the electronic spectrum of thiophene
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Excited states from quantum Monte Carlo in the basis of Slater determinants
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Bathochromic Shift in Green Fluorescent Protein: A Puzzle for QM/MM Approaches
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Variational Excitations in Real Solids: Optical Gaps and Insights into Many-Body Perturbation Theory
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