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Introduction to Tensor Network Methods: Numerical simulations of low-dimensional many-body quantum systems
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From the Back Cover
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.
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About the Author
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.
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Product details
Hardcover: 172 pages
Publisher: Springer; 1st ed. 2018 edition (November 29, 2018)
Language: English
ISBN-10: 3030014088
ISBN-13: 978-3030014087
Product Dimensions:
6.1 x 0.5 x 9.2 inches
Shipping Weight: 15.2 ounces (View shipping rates and policies)
Average Customer Review:
4.0 out of 5 stars
1 customer review
Amazon Best Sellers Rank:
#751,071 in Books (See Top 100 in Books)
The book gives a good overview of tensor network application in simulation of many body systems. But for each method, the introduction is brief and not always clear.
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