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

• Main Author: Montangero, Simone (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Subjects: Physics.; Quantum physics.; Quantum computers.; Mathematical physics.; Numerical and Computational Physics, Simulation.; Quantum Physics.; Quantum Computing.; Mathematical Applications in the Physical Sciences.

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 th...

Table of Contents:

• 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. .