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Otis L, Neuscamman E. A promising intersection of excited‐state‐specific methods from quantum chemistry and quantum Monte Carlo. WIRES COMPUTATIONAL MOLECULAR SCIENCE 2023. [DOI: 10.1002/wcms.1659] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/11/2023]
Affiliation(s)
- Leon Otis
- Department of Physics University of California Berkeley Berkeley California USA
| | - Eric Neuscamman
- Department of Chemistry University of California Berkeley Berkeley California USA
- Chemical Sciences Division, Lawrence Berkeley National Laboratory Berkeley California USA
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2
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Cuzzocrea A, Scemama A, Briels WJ, Moroni S, Filippi C. Variational Principles in Quantum Monte Carlo: The Troubled Story of Variance Minimization. J Chem Theory Comput 2020; 16:4203-4212. [PMID: 32419451 PMCID: PMC7365558 DOI: 10.1021/acs.jctc.0c00147] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/26/2023]
Abstract
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We
investigate the use of different variational principles in quantum
Monte Carlo, namely, energy and variance minimization, prompted by
the interest in the robust and accurate estimation of electronic excited
states. For two prototypical, challenging molecules, we readily reach
the accuracy of the best available reference excitation energies using
energy minimization in a state-specific or state-average fashion for
states of different or equal symmetry, respectively. On the other
hand, in variance minimization, where the use of suitable functionals
is expected to target specific states regardless of the symmetry,
we encounter severe problems for a variety of wave functions: as the
variance converges, the energy drifts away from that of the selected
state. This unexpected behavior is sometimes observed even when the
target is the ground state and generally prevents the robust estimation
of total and excitation energies. We analyze this problem using a
very simple wave function and infer that the optimization finds little
or no barrier to escape from a local minimum or local plateau, eventually
converging to a lower-variance state instead of the target state.
For the increasingly complex systems becoming in reach of quantum
Monte Carlo simulations, variance minimization with current functionals
appears to be an impractical route.
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Affiliation(s)
- Alice Cuzzocrea
- MESA+ Institute for Nanotechnology, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands
| | - Anthony Scemama
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, 118 route de Narbonne, 31062 Toulouse Cedex 09, France
| | - Wim J Briels
- MESA+ Institute for Nanotechnology, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands
| | - Saverio Moroni
- CNR-IOM DEMOCRITOS, Istituto Officina dei Materiali, Via Bonomea 265, I-34136 Trieste, Italy.,SISSA Scuola Internazionale Superiore di Studi Avanzati, Via Bonomea 265, I-34136 Trieste, Italy
| | - Claudia Filippi
- MESA+ Institute for Nanotechnology, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands
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3
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Shea JAR, Gwin E, Neuscamman E. A Generalized Variational Principle with Applications to Excited State Mean Field Theory. J Chem Theory Comput 2020; 16:1526-1540. [DOI: 10.1021/acs.jctc.9b01105] [Citation(s) in RCA: 25] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Jacqueline A. R. Shea
- Department of Chemistry, University of California, Berkeley, California 94720, United States
| | - Elise Gwin
- Department of Chemistry, University of California, Berkeley, California 94720, United States
| | - Eric Neuscamman
- Department of Chemistry, University of California, Berkeley, California 94720, United States
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
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4
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Tran LN, Shea JAR, Neuscamman E. Tracking Excited States in Wave Function Optimization Using Density Matrices and Variational Principles. J Chem Theory Comput 2019; 15:4790-4803. [DOI: 10.1021/acs.jctc.9b00351] [Citation(s) in RCA: 17] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Lan Nguyen Tran
- Department of Chemistry, University of California, Berkeley, California 94720, United States
- Ho Chi Minh City Institute of Physics, VAST, Ho Chi Minh City 700000, Vietnam
| | - Jacqueline A. R. Shea
- Department of Chemistry, University of California, Berkeley, California 94720, United States
| | - Eric Neuscamman
- Department of Chemistry, University of California, Berkeley, California 94720, United States
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
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5
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Spencer JS, Blunt NS, Choi S, Etrych J, Filip MA, Foulkes WMC, Franklin RST, Handley WJ, Malone FD, Neufeld VA, Di Remigio R, Rogers TW, Scott CJC, Shepherd JJ, Vigor WA, Weston J, Xu R, Thom AJW. The HANDE-QMC Project: Open-Source Stochastic Quantum Chemistry from the Ground State Up. J Chem Theory Comput 2019; 15:1728-1742. [DOI: 10.1021/acs.jctc.8b01217] [Citation(s) in RCA: 28] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- James S. Spencer
- Department of Physics, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom
- Department of Materials, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom
| | - Nick S. Blunt
- University Chemical Laboratory, Lensfield Road, Cambridge CB2 1EW, United Kingdom
- St. John’s College, St. John’s Street, Cambridge, CB2 1TP, United Kingdom
| | - Seonghoon Choi
- University Chemical Laboratory, Lensfield Road, Cambridge CB2 1EW, United Kingdom
| | - Jiří Etrych
- University Chemical Laboratory, Lensfield Road, Cambridge CB2 1EW, United Kingdom
| | - Maria-Andreea Filip
- University Chemical Laboratory, Lensfield Road, Cambridge CB2 1EW, United Kingdom
| | - W. M. C. Foulkes
- Department of Physics, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom
- Department of Physics, University of Illinois at Urbana−Champaign, Urbana, Illinois 61801, United States
| | - Ruth S. T. Franklin
- University Chemical Laboratory, Lensfield Road, Cambridge CB2 1EW, United Kingdom
| | - Will J. Handley
- Astrophysics Group, Cavendish Laboratory, Cambridge, CB3 OHE, United Kingdom
- Kavli Institute for Cosmology, Madingley Road, Cambridge, CB3 0HA, United Kingdom
- Gonville & Caius College, Trinity Street, Cambridge, CB2 1TA, United Kingdom
| | - Fionn D. Malone
- Department of Physics, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom
- Quantum Simulations Group, Lawrence Livermore National Laboratory, Livermore, California 94550, United States
| | - Verena A. Neufeld
- University Chemical Laboratory, Lensfield Road, Cambridge CB2 1EW, United Kingdom
| | - Roberto Di Remigio
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Tromsø—The Arctic University of Norway, N-9037 Tromsø, Norway
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, United States
| | - Thomas W. Rogers
- Department of Physics, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom
| | - Charles J. C. Scott
- University Chemical Laboratory, Lensfield Road, Cambridge CB2 1EW, United Kingdom
| | | | - William A. Vigor
- Department of Chemistry, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom
| | - Joseph Weston
- Department of Physics, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom
| | - RuQing Xu
- Department of Modern Physics, University of Science and Technology, Hefei, Anhui 230026, China
| | - Alex J. W. Thom
- University Chemical Laboratory, Lensfield Road, Cambridge CB2 1EW, United Kingdom
- Department of Chemistry, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom
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6
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Crawford TD, Kumar A, Bazanté AP, Di Remigio R. Reduced‐scaling coupled cluster response theory: Challenges and opportunities. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE 2019. [DOI: 10.1002/wcms.1406] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
Affiliation(s)
- T. Daniel Crawford
- Department of Chemistry Virginia Tech, Blacksburg Virginia
- The Molecular Sciences Software Institute Blacksburg Virginia
| | - Ashutosh Kumar
- Department of Chemistry Virginia Tech, Blacksburg Virginia
| | | | - Roberto Di Remigio
- Department of Chemistry Virginia Tech, Blacksburg Virginia
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry University of Tromsø ‐ The Arctic University of Norway Tromsø Norway
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7
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Otis L, Neuscamman E. Complementary first and second derivative methods for ansatz optimization in variational Monte Carlo. Phys Chem Chem Phys 2019; 21:14491-14510. [DOI: 10.1039/c9cp02269d] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
This Perspective contrasts first and second derivative methods in variational Monte Carlo and presents a hybrid optimization approach that combines their advantages.
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Affiliation(s)
- Leon Otis
- Department of Physics
- University of California
- Berkeley
- USA
| | - Eric Neuscamman
- Department of Chemistry
- University of California
- Berkeley
- USA
- Chemical Sciences Division
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8
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Blunt NS, Neuscamman E. Excited-State Diffusion Monte Carlo Calculations: A Simple and Efficient Two-Determinant Ansatz. J Chem Theory Comput 2018; 15:178-189. [DOI: 10.1021/acs.jctc.8b00879] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Nick S. Blunt
- University Chemical
Laboratory, Lensfield Road, Cambridge CB2 1EW, United Kingdom
| | - Eric Neuscamman
- Department of Chemistry, University of California, Berkeley, California 94720, United States
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
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9
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Mussard B, Coccia E, Assaraf R, Otten M, Umrigar CJ, Toulouse J. Time-Dependent Linear-Response Variational Monte Carlo. ADVANCES IN QUANTUM CHEMISTRY 2018. [DOI: 10.1016/bs.aiq.2017.05.005] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/05/2022]
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10
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Shea JAR, Neuscamman E. Size Consistent Excited States via Algorithmic Transformations between Variational Principles. J Chem Theory Comput 2017; 13:6078-6088. [DOI: 10.1021/acs.jctc.7b00923] [Citation(s) in RCA: 26] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Jacqueline A. R. Shea
- Department
of Chemistry, University of California, Berkeley, California 94720, United States
| | - Eric Neuscamman
- Department
of Chemistry, University of California, Berkeley, California 94720, United States
- Chemical
Science Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
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11
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Blunt NS, Neuscamman E. Charge-transfer excited states: Seeking a balanced and efficient wave function ansatz in variational Monte Carlo. J Chem Phys 2017; 147:194101. [DOI: 10.1063/1.4998197] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- N. S. Blunt
- Department of Chemistry, University of California, Berkeley, California 94720, USA
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - Eric Neuscamman
- Department of Chemistry, University of California, Berkeley, California 94720, USA
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
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12
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Robinson PJ, Pineda Flores SD, Neuscamman E. Excitation variance matching with limited configuration interaction expansions in variational Monte Carlo. J Chem Phys 2017; 147:164114. [DOI: 10.1063/1.5008743] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022] Open
Affiliation(s)
- Paul J. Robinson
- Department of Chemistry and Biochemistry, University of California, Los Angeles, California 90095, USA
| | | | - Eric Neuscamman
- Department of Chemistry, University of California, Berkeley, California 94720, USA
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
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13
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Coccia E, Varsano D, Guidoni L. Theoretical S1 ← S0 Absorption Energies of the Anionic Forms of Oxyluciferin by Variational Monte Carlo and Many-Body Green’s Function Theory. J Chem Theory Comput 2017; 13:4357-4367. [DOI: 10.1021/acs.jctc.7b00505] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
Affiliation(s)
- Emanuele Coccia
- S3
Center, CNR Institute of Nanoscience, Via Campi 213/A, 41125 Modena, Italy
| | - Daniele Varsano
- S3
Center, CNR Institute of Nanoscience, Via Campi 213/A, 41125 Modena, Italy
| | - Leonardo Guidoni
- Dipartimento
di Scienze Fisiche e Chimiche, Universitá degli Studi dell’Aquila, via Vetoio, 67100, L’Aquila, Italy
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14
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Zhao L, Neuscamman E. A Blocked Linear Method for Optimizing Large Parameter Sets in Variational Monte Carlo. J Chem Theory Comput 2017; 13:2604-2611. [DOI: 10.1021/acs.jctc.7b00119] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Luning Zhao
- Department
of Chemistry, University of California, Berkeley, California 94720, United States
| | - Eric Neuscamman
- Department
of Chemistry, University of California, Berkeley, California 94720, United States
- Chemical
Science Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
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