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Condensed Matter > Strongly Correlated Electrons
Title: variPEPS -- a versatile tensor network library for variational ground state simulations in two spatial dimensions
(Submitted on 23 Aug 2023 (v1), revised 3 Nov 2023 (this version, v2), latest version 18 Apr 2024 (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. We present and explain the functioning of an efficient, comprehensive and general tensor network library for the simulation of infinite two-dimensional systems using iPEPS, with support for flexible unit cells and different lattice geometries.
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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