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Condensed Matter > Strongly Correlated Electrons
Title: An introduction to infinite projected entangled-pair state methods for variational ground state simulations using automatic differentiation
(Submitted on 23 Aug 2023 (v1), last revised 18 Apr 2024 (this version, v3))
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.
Submission history
From: Jan Naumann [view email][v1] Wed, 23 Aug 2023 18:03:14 GMT (887kb,D)
[v2] Fri, 3 Nov 2023 09:21:10 GMT (888kb,D)
[v3] Thu, 18 Apr 2024 17:04:52 GMT (633kb,D)
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