Les Houches Lecture Notes on Tensor Networks

Fuente: arXiv
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Autores principales: Cuiper, Bram Vancraeynest-De, Wiesiolek, Weronika, Verstraete, Frank
Formato: Preprint
Publicado: 2025
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author Cuiper, Bram Vancraeynest-De
Wiesiolek, Weronika
Verstraete, Frank
author_facet Cuiper, Bram Vancraeynest-De
Wiesiolek, Weronika
Verstraete, Frank
contents Tensor networks provide a powerful new framework for classifying and simulating correlated and topological phases of quantum matter. Their central premise is that strongly correlated matter can only be understood by studying the underlying entanglement structure and its associated (generalised) symmetries. In essence, tensor networks provide a compressed, holographic description of the complicated vacuum fluctuations in strongly correlated systems, and as such they break down the infamous many-body exponential wall. These lecture notes provide a concise overview of the most important conceptual, computational and mathematical aspects of this theory.
format Preprint
id arxiv_https___arxiv_org_abs_2512_24390
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Les Houches Lecture Notes on Tensor Networks
Cuiper, Bram Vancraeynest-De
Wiesiolek, Weronika
Verstraete, Frank
Strongly Correlated Electrons
High Energy Physics - Theory
Mathematical Physics
Quantum Physics
Tensor networks provide a powerful new framework for classifying and simulating correlated and topological phases of quantum matter. Their central premise is that strongly correlated matter can only be understood by studying the underlying entanglement structure and its associated (generalised) symmetries. In essence, tensor networks provide a compressed, holographic description of the complicated vacuum fluctuations in strongly correlated systems, and as such they break down the infamous many-body exponential wall. These lecture notes provide a concise overview of the most important conceptual, computational and mathematical aspects of this theory.
title Les Houches Lecture Notes on Tensor Networks
topic Strongly Correlated Electrons
High Energy Physics - Theory
Mathematical Physics
Quantum Physics
url https://arxiv.org/abs/2512.24390