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arXiv:1306.2164cond-mat.str-el

A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States

Roman Orus

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Abstract

This is a partly non-technical introduction to selected topics on tensor network methods, based on several lectures and introductory seminars given on the subject. It should be a good place for newcomers to get familiarized with some of the key ideas in the field, specially regarding the numerics. After a very general introduction we motivate the concept of tensor network and provide several examples. We then move on to explain some basics about Matrix Product States (MPS) and Projected Entangled Pair States (PEPS). Selected details on some of the associated numerical methods for 1d and 2d quantum lattice systems are also discussed.

arXiv comments
51 pages, 45 figures, minor typos corrected. Accepted for publication in Annals of Physics
Journal reference
Annals of Physics 349 (2014) 117-158
DOI
doi:10.1016/j.aop.2014.06.013
Subjects
cond-mat.str-elStrongly Correlated Electrons hep-latHigh Energy Physics, Lattice hep-thHigh Energy Physics, Theory quant-phQuantum Physics

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  1. Theorists with a Swamp, not a Theory 1 comment

    • The breadth of your question makes it difficult for any one person to give a representative answer. I'll give a few examples, biased by my limited background. 1. Amplitudology: https://www.quantamagazine.org/physicists-discover-geometry-... 2. Conformal bootstrap…

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