Density matrix and tensor network renormalization /
Renormalization group theory of tensor network states provides a powerful tool for studying quantum many-body problems and a new paradigm for understanding entangled structures of complex systems. In recent decades the theory has rapidly evolved into a universal framework and language employed by re...
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| Format: | Book |
| Language: | English |
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Cambridge ; New York :
Cambridge University Press,
[2023].
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| Summary: | Renormalization group theory of tensor network states provides a powerful tool for studying quantum many-body problems and a new paradigm for understanding entangled structures of complex systems. In recent decades the theory has rapidly evolved into a universal framework and language employed by researchers in fields ranging from condensed matter theory to machine learning. This book presents a pedagogical and comprehensive introduction to this field for the first time. After an introductory survey on the major advances in tensor network algorithms and their applications, it introduces step-by-step the tensor network representations of quantum states and the tensor-network renormalization group methods developed over the past three decades. Basic statistical and condensed matter physics models are used to demonstrate how the tensor network renormalization works. |
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| Physical Description: | xx, 433 pages : illustrations ; 26 cm. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9781009398701 1009398709 |