James Gubernatis

Quantum Monte Carlo Methods (eBook, PDF)

Algorithms for Lattice Models

• Format: PDF

Produktbeschreibung

Featuring detailed explanations of the major algorithms used in quantum Monte Carlo simulations, this is the first textbook of its kind to provide a pedagogical overview of the field and its applications. The book provides a comprehensive introduction to the Monte Carlo method, its use, and its foundations, and examines algorithms for the simulation of quantum many-body lattice problems at finite and zero temperature. These algorithms include continuous-time loop and cluster algorithms for quantum spins, determinant methods for simulating fermions, power methods for computing ground and excited states, and the variational Monte Carlo method. Also discussed are continuous-time algorithms for quantum impurity models and their use within dynamical mean-field theory, along with algorithms for analytically continuing imaginary-time quantum Monte Carlo data. The parallelization of Monte Carlo simulations is also addressed. This is an essential resource for graduate students, teachers, and researchers interested in quantum Monte Carlo techniques.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 2. Juni 2016
• Englisch
• ISBN-13: 9781316484845
• Artikelnr.: 45098846

Autorenporträt

James Gubernatis works at the Los Alamos National Laboratory. He is a Fellow of the APS and was elected Chair of the APS' Division of Computational Physics. He has represented the United States on the Commission of Computational Physics of IUPAP for nine years, and has chaired the Commission for three years.

Inhaltsangabe

Part I. Monte Carlo Basics: 1. Introduction
2. Monte Carlo basics
3. Data analysis
4. Monte Carlo for classical many-body problems
5. Quantum Monte Carlo primer
Part II. Finite Temperature: 6. Finite-temperature quantum spin algorithms
7. Determinant method
8. Continuous-time impurity solvers
Part III. Zero Temperature: 9. Variational Monte Carlo
10. Power methods
11. Fermion ground state methods
12. Analytic continuation
13. Parallelization.