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

Author: Roman Orus
Url: http://arxiv.org/abs/1306.2164
Format: Ps, Pdf
Year: 2013
Category: Strongly Interacting Systems
Pages: 50
Clicks: 2

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.

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