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Introduction to Tensor Network Methods

Numerical simulations of low-dimensional many-body quantum systems

Authors: Montangero, Simone

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  • Offers self-contained and course-tested lecture notes 
  • Describes the study of lattice gauge theories via tensor network methods for the first time
  • Serves as a unique reference for computational physicists working in quantum science 
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eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-030-01409-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-030-01408-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This volume of lecture notes briefly introduces the basic concepts needed in any computational physics course: software and hardware, programming skills, linear algebra, and differential calculus. It then presents more advanced numerical methods to tackle the quantum many-body problem: it reviews the numerical renormalization group and then focuses on tensor network methods, from basic concepts to gauge invariant ones. Finally, in the last part, the author presents some applications of tensor network methods to equilibrium and out-of-equilibrium correlated quantum matter.

The book can be used for a graduate computational physics course. After successfully completing such a course, a student should be able to write a tensor network program and can begin to explore the physics of many-body quantum systems. The book can also serve as a reference for researchers working or starting out in the field. 

About the authors

Simone Montangero received his Ph.D. in theoretical physics from the University of Milano and the Habilitation in theoretical physics from the University of Ulm. He is now leading the line of research on quantum science and technology at the Department of Physics and Astronomy of University of Padova, where he is Full Professor since 2017. He has been a Heisenberg Fellow of the German Science Foundation, a Humboldt Fellow and he is an IQOQI visiting fellow of the Institute for Quantum Optics and Quantum Information of the Austrian Academy of Science. He has pioneered the development of tensor network methods for quantum technologies and the application of optimal control theory to many-body quantum systems. He has been one of the principal actors in the development and application of tensor networks for lattice gauge theories. He has been involved in several national and European projects and is a member of the Science and Engineering Board of the Quantum Flagship. 


Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-030-01409-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-030-01408-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to Tensor Network Methods
Book Subtitle
Numerical simulations of low-dimensional many-body quantum systems
Authors
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-01409-4
DOI
10.1007/978-3-030-01409-4
Hardcover ISBN
978-3-030-01408-7
Edition Number
1
Number of Pages
XV, 172
Number of Illustrations
11 b/w illustrations, 30 illustrations in colour
Topics