عنوان

Introduction to tensor network methods :

شابک

3030014096

شابک

9783030014094

شابک اشتباه

9783030014087

عنوان اصلي

Introduction to tensor network methods :

نام عام مواد

[Book]

ساير اطلاعات عنواني

numerical simulations of low-dimensional many-body quantum systems /

نام نخستين پديدآور

Simone Montangero.

محل نشرو پخش و غیره

Cham, Switzerland :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

[2018]

نام خاص و کميت اثر

1 online resource

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

Intro; Preface; Contents; Symbols and Abbreviations; 1 Introduction; Part I The Single Body Problem; 2 Linear Algebra; 2.1 System of Linear Equations; 2.1.1 LU Reduction; 2.2 Eigenvalue Problem; 2.2.1 Power Methods; 2.3 Tridiagonal Matrices; 2.4 Lanczos Methods; 2.5 Exercises; 3 Numerical Calculus; 3.1 Classical Quadrature; 3.2 Gaussian Integration; 3.3 Time-Independent Schrödinger Equation; 3.3.1 Finite Difference Method; 3.3.2 Variational Method; 3.4 Time-Dependent Schrödinger Equation; 3.4.1 Spectral Method; 3.4.2 Split Operator Method; 3.4.3 Partial Differential Equations Solvers

متن يادداشت

3.5 ExercisesPart II The Many-Body Problem; 4 Numerical Renormalization Group Methods; 4.1 Mean Field Theory; 4.1.1 Quantum Ising Model in Transverse Field; 4.1.2 Cluster Mean Field; 4.2 Real-Space Renormalization Group; 4.3 Density Matrix Renormalization Group; 4.4 Exercises; 5 Tensor Network Methods; 5.1 Tensor Definition; 5.2 Tensor Manipulations; 5.2.1 Index Fusion and Splitting; 5.2.2 Compression; 5.2.3 Tensor Network Differentiation; 5.2.4 Gauging; 5.2.5 Tensor Contraction Complexity; 5.3 Ground States via Tensor Networks; 5.3.1 Mean Field; 5.3.2 Graphical Tensor Notation

متن يادداشت

5.3.3 Matrix Product States5.3.4 Loop-Free Tensor Networks; 5.3.5 Looped Tensor Networks; 5.4 Time Evolution via Tensor Networks; 5.4.1 Time-Dependent Density Matrix Renormalization Group; 5.4.2 Fidelity-Driven Evolution; 5.4.3 Time-Dependent Variational Principle; 5.5 Measurements; 5.6 Further Developments; 5.7 Software; 5.8 Exercises; 6 Symmetric Tensor Networks; 6.1 Elements of Group Theory; 6.2 Global Pointlike Symmetries; 6.3 Quantum Link Formulation of Gauge Symmetries; 6.4 Lattice Gauge Invariant Tensor Networks; 6.5 Exercises; Part III Applications

متن يادداشت

7 Many-Body Quantum Systems at Equilibrium7.1 Phase Transitions; 7.2 Quantum-Classical Statistical Correspondence; 7.3 Quantum Phase Transition; 7.3.1 Critical Exponents; 7.4 Entanglement Measures; 7.4.1 Central Charge; 7.4.2 Topological Entanglement Entropy; 7.5 Exercises; 8 Out-of-Equilibrium Processes; 8.1 Adiabatic Quantum Computation; 8.1.1 Adiabatic Theorem; 8.1.2 Applications; 8.2 Kibble-Zurek Mechanism; 8.2.1 Crossover from Quantum to Classical Kibble-Zurek; 8.3 Optimal Control of Many-Body Quantum Systems; 8.4 Other Applications; 8.5 Exercises; A Hardware in a Nutshell for Physicists

متن يادداشت

A.1 ArchitectureA. 2 Data and Formats; A.3 Memory and Data Processing; A.4 Multiprocessors; A.5 Exercises; B Software in a Nutshell for Physicists; B.1 Correctness; B.2 Numerical Stability; B.3 Accurate Discretization; B.4 Flexibility; B.5 Efficiency; B.6 Exercises; References; ; Index

بدون عنوان

0

بدون عنوان

8

بدون عنوان

8

بدون عنوان

8

بدون عنوان

8

متن يادداشت

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.

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9783030014094

شماره استاندارد بين المللي کتاب و موسيقي

9783030014087

شماره استاندارد بين المللي کتاب و موسيقي

9783030014100

موضوع مستند نشده

Tensor fields.

موضوع مستند نشده

MATHEMATICS-- Algebra-- Intermediate.

موضوع مستند نشده

Tensor fields.

موضوع مستند نشده

MAT-- 002040

موضوع مستند نشده

PHU

موضوع مستند نشده

PHU

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Montangero, Simone

تاريخ عمليات

20200823072944.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y