Introduction to Tensor Network Methods: Numerical simulations of low-dimensional many-body quantum systems - Tapa dura

Montangero, Simone

 
9783030014087: Introduction to Tensor Network Methods: Numerical simulations of low-dimensional many-body quantum systems
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ISBN 10: 3030014088 ISBN 13: 9783030014087
Editorial: Springer, 2018

Sinopsis

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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Acerca del autor

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. 


De la contraportada

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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Editorial
Springer
Año de publicación
2018
Idioma
Inglés
ISBN 10 
3030014088
ISBN 13 
9783030014087
Encuadernación
Tapa dura
Número de páginas
190
Contacto del fabricante
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Alemania

Otras ediciones populares con el mismo título

9783030014100: Introduction to Tensor Network Methods: Numerical simulations of low-dimensional many-body quantum systems

Edición Destacada

ISBN 10:  303001410X ISBN 13:  9783030014100
Editorial: Springer, 2019
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