Abstract
In this chapter, we introduce the core concepts of tensor network methods: we first define the tensors themselves and the most common operations for their manipulations. Then, we present some of the most successful algorithms developed exploiting tensor networks to study the many-body problem. We first reformulate the mean-field approach using the tensor notation. Then, we introduce the Matrix Product State (MPS) and the reformulation of the DMRG we presented in the previous chapter in this new formalism.
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© 2018 Springer Nature Switzerland AG
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Montangero, S. (2018). Tensor Network Methods. In: Introduction to Tensor Network Methods. Springer, Cham. https://doi.org/10.1007/978-3-030-01409-4_5
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DOI: https://doi.org/10.1007/978-3-030-01409-4_5
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-01408-7
Online ISBN: 978-3-030-01409-4
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