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ISBN  
978-3-030-01408-7
Auteur principal  
LinkMontangero, Simone. Auteur
Titre  
LinkIntroduction to Tensor Network Methods : Numerical simulations of low-dimensional many-body quantum systems / by Simone Montangero
Adresse bibliog  
Cham : Springer Nature, copyright 2018
Collation  
1 vol. (XV-172 p.) : ill. ; 24 cm
Note Contenu  
Réunit : 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. .
Resume  
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. .
Ed. aut. supp.  
Introduction to Tensor Network Methods
Nom commun  
LinkCalcul tensoriel 
 
LinkThéorie quantique 
 
LinkSimulation quantique 
 

 

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