An introduction to infinite projected entangled-pair state methods for variational ground state simulations using automatic differentiation
Year: 2024
Type: article
Abstract: Tensor networks capture large classes of ground states of phases of quantum matter faithfully and efficiently. Their manipulation and contraction has remained a challenge over the years, however. For most of the history, ground state simulations of two-dimensional quantum lattice systems using (infinite) projected entangled pair states have relied on what is called a time-evolving block decimation. In recent years, multiple proposals for the variational optimization of the quantum state have been put forward, overcoming accuracy and convergence problems of previously known methods. The incorporation of automatic differentiation in tensor networks algorithms has ultimately enabled a new, flexible way for variational simulation of ground states and excited states. In this work we review the state-of-the-art of the variational iPEPS framework, providing a detailed introduction to automatic differentiation, a description of a general foundation into which various two-dimensional lattices can be conveniently incorporated, and demonstrative benchmarking results.
Source: SciPost Physics Lecture Notes
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funders: Jülich Supercomputing Centre, Forschungszentrum Jülich, Deutsche Forschungsgemeinschaft, Bundesministerium für Bildung und Forschung, Erwin Schrödinger International Institute for Mathematics and Physics, Forschungszentrum Jülich, Studienstiftung des Deutschen Volkes, Freie Universität Berlin, Berlin Mathematics Research Center MATH+, Gauss Centre for Supercomputing
OpenAlex ID: W4402408402