Overview
- 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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Table of contents(8 chapters)
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The Single Body Problem
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The Many-Body Problem
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Applications
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.
Authors and Affiliations
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Department of Physics and Astronomy “G. Galilei”, University of Padova, Padova, Italy
Simone Montangero
About the author
Bibliographic Information
Book Title: Introduction to Tensor Network Methods
Book Subtitle: Numerical simulations of low-dimensional many-body quantum systems
Authors: Simone Montangero
DOI: https://doi.org/10.1007/978-3-030-01409-4
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Hardcover ISBN: 978-3-030-01408-7Published: 10 December 2018
eBook ISBN: 978-3-030-01409-4Published: 28 November 2018
Edition Number: 1
Number of Pages: XV, 172
Number of Illustrations: 11 b/w illustrations, 30 illustrations in colour
Topics: Numerical and Computational Physics, Simulation, Quantum Physics, Quantum Computing, Mathematical Applications in the Physical Sciences