Introduction to Tensor Network Methods

Numerical simulations of low-dimensional many-body quantum systems

Inbunden, Engelska, 2018

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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.

Produktinformation

Utgivningsdatum2018-12-10
Mått155 x 235 x 16 mm
Vikt453 g
FormatInbunden
SpråkEngelska
Antal sidor172
FörlagSpringer Nature Switzerland AG
ISBN9783030014087

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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.

Introduction.- Part I: Software and Hardware.- Lesson 1: Computer for Physicists.- Lesson 2: Software for Physicists.- Part II: Crash Programming Course.- Lesson 3: Fortran.- Lesson 4: Python.- Lesson 5: Gnuplot.- Part III: Single-Body Problem.- Lesson 6: Matrix Diagonalization.- Lesson 7: Integrals.- Lesson 8: Differential Equations.- Part IV: Many-Body Problem.- Lesson 9: Monte Carlo.- Lesson 10: Renormalization Group.- Lesson 11: Tensor Networks.- Part V: Symmetries.- Lesson 12: Group Theory.- Lesson 13: Quantum Phase Transitions.- Lesson 14: Global Symmetries.- Lesson 15: Gauge Theories.