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Novel Variational Methods for Quantum Physics


Astrakhantsev, Nikita. Novel Variational Methods for Quantum Physics. 2023, University of Zurich, Faculty of Science.

Abstract

CONTENTS
Abstract v
Publications vii
Acknowledgments xi
I Introduction
1 Introduction 3
2 Classical Variational Monte Carlo 9
3 Matrix product states 33
4 Frustrated magnetism and spin liquids 49
II Research
5 Finite-sample training of variational wave functions 61
6 Application to the three-dimensional pyrochlore lattice 81
7 Quantum variational iTEBD 105
8 Summary and outlook 129
III Appendix
a Appendix: training of variational states 137
b Appendix: variational study of the pyrochlore lattice 141
c Appendix: Quantum variational iTEBD 149
Bibliography 163

Abstract

CONTENTS
Abstract v
Publications vii
Acknowledgments xi
I Introduction
1 Introduction 3
2 Classical Variational Monte Carlo 9
3 Matrix product states 33
4 Frustrated magnetism and spin liquids 49
II Research
5 Finite-sample training of variational wave functions 61
6 Application to the three-dimensional pyrochlore lattice 81
7 Quantum variational iTEBD 105
8 Summary and outlook 129
III Appendix
a Appendix: training of variational states 137
b Appendix: variational study of the pyrochlore lattice 141
c Appendix: Quantum variational iTEBD 149
Bibliography 163

Statistics

Additional indexing

Item Type:Dissertation (monographical)
Referees:Neupert Titus, Fischer Mark, Chang Johan, Mila Frederic
Communities & Collections:07 Faculty of Science > Physics Institute
UZH Dissertations
Dewey Decimal Classification:530 Physics
Language:English
Date:2023
Deposited On:19 Jan 2024 13:39
Last Modified:19 Jan 2024 13:39
Number of Pages:189
OA Status:Closed
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