Variational Monte Carlo simulations using tensor-product projected states

We propose an efficient numerical method, which combines the advantages of recently developed tensor-network based methods and standard trial wave functions, to study the ground state properties of quantum many-body systems. In this approach, we apply a projector in the form of a tensor-product oper...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Sikora, Olga, Hsueh-Wen, Chang, Chung-Pin Chou, Pollmann, Frank, Kao, Ying-Jer
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 21.05.2015
Subjects
Coding
Computer simulation
Electrons
Entanglement
Fermions
Mathematical analysis
Monte Carlo simulation
Numerical methods
Operators (mathematics)
Physics - Strongly Correlated Electrons
Tensors
Wave functions
Online AccessGet full text

Cover

More Information
Summary:We propose an efficient numerical method, which combines the advantages of recently developed tensor-network based methods and standard trial wave functions, to study the ground state properties of quantum many-body systems. In this approach, we apply a projector in the form of a tensor-product operator to an input wave function, such as a Jastrow-type or Hartree-Fock wave function, and optimize the tensor elements via variational Monte Carlo. The entanglement already contained in the input wave function can considerably reduce the bond dimensions compared to the regular tensor-product state representation. In particular, this allows us to also represent states that do not obey the area law of entanglement entropy. In addition, for fermionic systems, the fermion sign structure can be encoded in the input wave function. We show that the optimized states provide good approximations of the ground-state energy and correlation functions in the cases of two-dimensional bosonic and fermonic systems.
ISSN:2331-8422
DOI:10.48550/arxiv.1407.4107